LOJIK DEVRE GIRI$I DERSI

Transkript

1 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ar LOJK DEVRE GR$ DERS DERS NOTLAR Doe. Dr.Murat UZA/ LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

2 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM loyy,^ Ql"nL K"llqo'lon 5og r S''qE n /<.,.i 2. '/^ r ll, Des,ftql\ u.'l;r\ ( ) Bi.orr1lr 1r '\ l r,: \/. r,) /r 'dr \ J?! r/, \ l.!\ l\ea \ol2lrtal \ ']^' lt' ).) i-l O, aa o r o0 o o O0or 0 oo,lc $ o\?1 / i? O Lr ar Otr os o+ o8 o l r2 t5 0 ol0o do r 0\ O C lrl ootrl 0 tooo c) 10ol o o lo o totl '.4 Do {J/ / or O l.^ Ll! Ub na AA r 1q 42 t /. rt /t Oq ot o6 o? o8 oq OA 0/s oa a' a t\ l5 /it i7 t7 /'l aa) ' -il /l' ct til aaaa / o0e, l00lo l0 a a / a0, ta r.) a 1a,:)?. rt/ 41 OF 10 4l.1 C 43 4 /. ; 31 0o tl bj 33 1:t+17" FF FF LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

3 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM iitr^"i '!' {q r.4"1.,,i!il. r.l"p: -far"'t'r ' inr' 'll^' \c^i^ Soq'sq Fnd-s+'g''"*-.^ Mo.ai5 lvttt44 lvt _-:* N i{ f :r$r"zs-rln\s ijrs ra' i'. -'*t^qs L - F 1"1.-1 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

4 Y LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 4rL-2 2 T"!o"1, 5.6,1..,,.,10 T"lc.,r l, sd,l- N,i^3f$31,'nzli : (tr oo lot, ^10^)2 -- (? ),1, B" il lc.r.al n g.ts"lt 1 '..ilo-li\*r-si \.1", s,l*r^dq L, "i.gda"- f-o ^"scx' lz-rsnrnt4 k Li. L"ro^sf,, 2 "i^ 1ti'ti6l L-vvz lu'ilz- v<' yirgj 1s,...of,^J"/r: L'rsa1a,n l-li, bs"w-3;' 2'nin /'"{ Lt v"'t "tg le.,,gle- Qa.ptltr.' To^s*A, u. L-s,'.l,' ht,n /o- h7 hn,"."., C t 4 ll o 4lo0 10t. 8 T.,len",l, S,,X" rn,.,40 Gl..nl',..9'.d,lc ^" D "'n,li Li.; nncs (tz+s, t,st), )1" Bu f p htn,h g-<olq 6'.'1, U/l'w.li,',,in se/a"..i n p",,'l;/ luv*ll.i l/c L.L,. bqsarv.af, t 14.FmcMlL St ctun d{ii f ',-'"3 ffil'. r'e ruga( - 1.t3+ t. f+ +.gr.'' ,s'*;,i"*".r- - 5t2-+ t28+sl*, * <."o."ris +ti.r,rrr'r#,o"nrt - (gqq,8 oot\ro {6 Tcla.,.h ;lt* ri tlt tl' rc' t5 ll t[ ao.) y, c \,/16 ( 88cb2, S..g.L.,,r,{0 Tcb..,rl. 5",.6,loer LgncdC*l"ati J:1.3.= (')ro M. t{+ g, r f+ tr.tl"+ ta,l i+ l. d tr' lt''+?' ts"+ Gselt,6,22L3)1o t- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

5 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM L..i;12.3,2- T<banlr Sog,lc.,n E Tobonlr S"grhn b Snlpli!rilrvsi 0,41O 1t4)t = ( 6 oo,tl,tooit B,t qcv t rnr- ipla-^ind. '> lt"ltl' g"t ^ Jts pu yol'ldz gtrq)onzlilir" Teuggr fz.,su, fqin v,'r3ol"l-- Lul/ntgo'<L i'azr i4et, L'zsi'/i Ltsr'' ''o'" *,.,ioa- i'r,u hi^^'l ( il-'l;) soy'ntn LostrnzLlo'' og''l'' E{"' Lu ttc*" gnruplo. Lu ay,r,ne 'i/z^l"h 9a,-rn& oljf/nu7o'et fotr sagt igrh soytntn 61/o,gt.,ts1 vula J srftt v. l"rs:r/i Lstm 'icin d"- sajt'11a sanv'q,,a" s,ft, l-oa(r, i1"r" z/;l'- Lu s,fitb, sdjthtn 4t4a{t'4" 4''? lf '?^J9WLeegg, WUL 2-31(6:t Q oo trr oo tt 0, 4'loll'( ) ^ = (/3 q6, 6V)v 2 T.. b.r,r[.s".g, lo.r'. 1( T.L"lr S.'X,l""r b3nsl{irlr,osi (,t oo ttt oo tto,i4 O 114) 2 = ', )to =(4e6.,bc)10.o 199 Upg 4.'t o,!,t-pj U9! -q E 6 D c,lo Tabanl, Sng, /ra,. 2- Tabanlt S<yrlo^. A!o#rr--r; (tzst",?67),0= (, ), Bv q,uir,,,t - ;71..^l lli aj,^ja 9 ur",'lle1h'^'lir' \""; Jaasag' tz''tth agrr, lzttir/i L,s,m 4u agn olrrnl hzsop/an,r' Bi'! /.'. bt/aaa"/a r Eo' nvelo b,'r/esh'r l,t l< b,'^t,,! (,'L,'1") fo'^jo sagt ['tlttnttr''?^to', lusutnt Lep/on,rlz'1 L,i/,,2 yj^k -i uyg,t/on,r. B' y<i'^k"j' ^'"-l t'a^sesr L"s^, a.4,p,l o lo'al i Liye- L'l/'!''\c L'/"9"'9/o, Lti'na LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

6 L"jiL LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM laosny, tsm, La'lii*^, 2'yt bll"^z itle-'h,l"- sonra orhga ttlzta sagr #lt!-, /o,w iligz L4 l;r^z gol isz..'lo l-a /"" sayt rrrlc,a nd'nt dlr' Bd//a s, fi r o l^nn!,r,do" bllru-,i lt'*;,,,t ohuo- uo/,',/,'z pot,', l,' Lz-sm t hesolu l""lz'^ Lz-sir li L.tsrm sj',elli 2,'lz qo.ptlr,'u lr-- qc'rphs itla'nin/o- Sohrq qd.pmq to4i cunvn fonsagr Lrsmr qrlotr,r. lan' Sayt 1'a evil vc4a 'l'le-n b;g;ls. f *y,tt ) /'"/"- Li*,"1 ( il'l').uy,n,n Lz-s;rli Lsn, o L.aL,/,n,.. t'j,, ': L lse tt A. 57!tt BdU'^,^lrL(d!-$h!l)ldJl 125 t4 6Z r6 37 tc q 4 Bil,*, _-xs',r- 4Lrq/2_ 627/t 313 /z l5l/z 78 /2 3S/2,17/z?/z h/t 2/2 4/z Zqtirlf Lsm'" a?'r"/nta-s i olf?t2 ra "q t,q.1 c F-a,d ;!- 4_ 'l 1 il /^) 4 4arPll<rn,,96+ o,azt'l O,\ L? o,131 0, [T' o.7qu (n7,an), 1afP4^ 2_ ') a, 9 9_ - / t oo tll _-> \+3\ '1,\L& o,93c '4i,87L '.j" r q.4, Q88 oo lt 0 (ottl..)l / LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

7 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 40 Atonlr.S'U'lonr Joknlr Segr)""". \3n8$S"$L"re,ri Qrsq,se+),,' = ( 7 '-fd.n )?, tl 9ut /at S.h la qe^/.t l/'1.ltt LCJL 5 &lau ut,tlo(&t;,'al)*gr l:-5ll ts( 11 ' Bsl*. ttw^^l llsh/i tt( /8 'te /a ^ )-,(t Ku,,,i,.'tii.,,'' q,..,/^", r tq z n trzr lo,n c.1? C ',Ct o"\ o rt6?_ o,1?( D,q88 0,q0q 0,23L 0 \8gL o tet4v o,+:q : G..PoA c, 8? z 8 8 crq.ptm Qtst (+)488 Q;tse rsr /1 \3) t ct c : (t2s1,ztts,o = ('2zq 6, 6? 3? t6(6...)1 lo Ta b"^1, S<g, )e rr ^,l 6 B:t,J*4 yv:vt rlr q ir Qzstr,ztT)p = ( B"'/,aztiktt,' tz51/ll n?/16 4 //6 Tq l,qnlr Sogr to.< b 3"ll firilnu-ri, - ),lu q a-u r; /rr*s p,/,la Ko/"a --'= 'r_ /4eE) o4 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

8 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM q""pl lon 0rt6+ o,glz Or9 52 0,L32 o,vlz 0, jq2-0 tltl 0,3s 2 k251rt L,rs^ra 4t" 4b t6 t6 (b tb L l6 ; qcnri lrw-,s,t 1.P'^_ D(3,872 o(jtsz F(JSt,23L '.j,ttz E /lt3sz i tz+l li,3sz / 5) b3z (tzs4,t6?)ao = ( 4E 6, bbfsb 6qs. -)/4 Lgrle. 6 8 Tob^, S..g,lo"tr. 2 Ta bq'nl, 1'ln"a Aia,lshr/^asi hll"n,l", 8 /" t.l, se3, t. b,'na., fo'^4a 2'l" ful"'ja,7t6 -/ll'yt,dz loif s.yrst e4 fiulo Jq "l^al,j,.' BlSle,< 9 filanl synt L; --"r (; L'li) fr,^4o g"toal.qtuirtt* 1*.!o,'7 lao5a^agtn 3 looeorna Ll, if lem;^i 9 o-. c,a Ut th'*bil"n'z gf q,r.,tlr= ( i ),,// / \\ or{,,,u,,2,',o ot! oor too (z+tl,3l1)z = ( lolll ll oll o ) ott oot4)" 8 TrL.nl, 5n5rlo.,^ 16 Tq lonnlr soxrl^e Q!id:,':/'ttt/ 8, q..r;r.'e ;7lo-,-iJto[7 hlo^l' soj' L'b'g ("L:/") {or-je gartltr vt Jab toar4 J''/''tl" Srvplar L't li^lz /l klo"l s 'y'xq 5lda! 2#'ru- Ya7' lrr' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

9 LL)* \ \\ \ Olo lr\ ].-*Jw* \----.-?t- --(")U rroooo (ztt+, 2+()s= ( e++'sflrt l-ojil=, * LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM - (.eiq+, '/ / \, Jl " Lie]lJu 6 +a 16 Ta bq*\ Sog,\o.ra 2 Totorl' SsX,lo,.r b E":'bllJ,rsi!, q orir.*r i,e lc-. ini g1ru,l iein /6 fcto"lr soy,",rn 'l"t,. tl" b.''ro-,".,i' { bltl;l ti^'?(il.,iti) /"'-Jn J.,r.rlrr. Mgl"' q a^t'inz i1l<' i "r5q.l\a p,'ni1 e 1,, r. (n3ts,ttb.c)1.= (l ),,//, s\...-_. ---.r lold 00\\ lol\ ol oo llor llog (A38,/'tDC){6 =( 4otoq9 11 oll,0 loottorrl)2 l TnL.nl, S.3,1..,n 8 TcLonlr S.p,lo-^ b3^sp{[ril^.si B*r q."riroar- illc;a gop".cl tq;^ 4G tabonlr.ml,n,n htrlir L.s.ma{ ' 1;no'rt ih'li) {n'^jo xo.,l'' * lala sonra '1c*/" gryl" Aali,u- ay'' l'r',?\ AlQ0 ltol n oo.ooll tqlo llll!{' \z.v- l-v-\-?! t w\e^"- r-----r-\-rj 2i3416r? (4 uc,lne)r, -- (ztz 1' t 6s7)t LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

10 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM -T'i^13o-nl"- q;t t B,'/9,!oy..l', q, k-^,nna, ilu-' gupmol" i,.i n /;n /az,t ",,,/*Ayi; lr-".tll^n'r. 0 ^J"L14 L,. sa4rttrn / a l,!u l4qe.,in/ Ur/r,-/,,r0,; /-_- ha ro-x, /'Jz" a,l^.^ttl g 8,.^org "*.L,r. t;t-'i) b,,, sagrrrn /,e /:- /"t4vn brl,-ol i,o,.n /'/e,- 0 "b," 0'/.. / jn1o,/,c-8,,*.y /,2 3ny,n,n n.cl 9e..r'L.'r..rlo,: /.!4 lyr4; -_(es,l zs) (zcats),"'.g,.,",i ito tr-toyu, * (gs lzq),;a.. (lorra! t or),,,.. 'e 4 ) (oroolgoto)r. > Z'W /t '---)(otoo1g6r 1), Top/n,a,c 6'/"4^t ll'n//otr - O-t-O =o ltool.>2r ot' =4 i-^ +toror --.r.2 1+o:,{,l+l o-o -o 1-l O -l -la ' =D(.lJ",l)/ -l --v ( t"o"r,') \ f0ttto ( ) llool -/otol 2'y. /i.b1-i",' lul^'ltr; o lagtnta,t'e /:- l^.in_t_ 4 cl/.- 'L"1- -)tb --, /- o)t oo --t o, 2\., Ti;nln^U lf o'.-':;:;^: evleni r. Q,laar,n-1 tl'.^t,,,1n, ^"^ i/2,^i goprrwl ir in sc3,ja q,lzqn syr^,n 2'.ljului Xc ( /O'" -*",'*4 2- Vop,lon hv illtn sonun& 'cll' i) ^ E lj" vo /-.rc oll,.- olv'p olnt J,6 tn tal-l' c tlj. goh< uljo n/i/-,.tit-,oyn,n vo J n /'n<-- t5o*l' lonur. tqe l-7"r, W) qltrr.- ( 46'o LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

11 el lo -2l 01" Onolo'..prf,,r-ofJrr "\&' o\v al 2--) <.- 6r^tl" ' ',',ii,' 4 4 oo ;'l' 7 'nl L r'in ' o 4 O --+.l 'z 13,'r Lri llool lotot {3!!-.lP tlt00 go' l4oot ot0tl 0 0 OD -+, so^vj olol too -> ' 'fc^ b'4'-^;^; /'u//o*'-tr -,p10lo -D' A!cP' 2 ' LtlL 7 0 t 0l -+ -2'y f:,nh^^ts -,'rli 1'71t*,,'n,l 2'a,h h^ltdt t-' L,lL'-."L J"f'ot ' a'e / in /2.. i = OOO +4 -> 12 fi,ulut = o oo / Soar'\ -'-, rtl olel; az53-3ls g i3tc.a,,,n. /0,a fctu Ura-/.; la /1.,,.,.a l_ ldfnn 32-tO --> 'o y'.-l.t-i -,6717 * V=o tl'a, +2r s w!i t. t ohl'' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 67so 7Lr 3 5on vq, jl, o qoo3 lllt'!ot > 2 gz tt;ot laaori5 1,. h' Zr3 ir l4,,v,r ^ ( 1o/"n fln /zgt^;^; l.rll4,,r, /,ql Jdpttu f'e /",lgz1t 2+Qf, -t 'l :-E93zs o to2 o.-+fifi ()rq 1 t -+ qi lo"lry; 1O0z a so4u9 -> m LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM '1,

12 l'u Tc^14'nl' Q'L"^q l^f L'''; LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM B,,f h"^,, qap^'"rt' i"'", t'e /,r^, legea,, " 1., ln^, r'- to t. c La,, tlau sctg)na "'o'",r 6ln^a,/,ri,..", b'l ') r'.,'n rl^" "r,? O /'r'4, ^t- v.,p,1,., L.,, l-*,^..t',+,i,'j rrr"":''.r,,',o"to^l' "31r,, Q pa- vo' ise no]r',,, '' ll' iol lse t jtre-i, ll odl )a lo -!fj''' i 1ln'--: n; q',,^,"!,^,:\-!*7"ni,r" ^ l-^\'^it': l''ll"*''! al,n,, ''- ''-loln"i tol 0l --) 4c ' a lol o lloo S n i!(r ffi - ll lo lo? "D v- 44 o0l ---> oo ll o o\&',..u. Q O \ ot o to ',,!_=&ffi,, ::-:- c::::- i 4 rot [:':::i LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

13 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM KONLAMALAA t-le,/ Aa^ti L,t r se'g, s&*u"{tta L"l/i li,. i rnzs i o ax, na LJzS'^^4l) l.o"l1",*q "/nu ;, Bcb CBl.*.1 C"a"d \";. rl \ Jg_s'i4 3 evq vagq 8q2 U ^ da{,!- >al z tl i 1? q Ona^1,1, 6ir L"d,t.----=--- Rc\ CS12 l) L,^l^., ooo o Bc o0o od 10 o0 O oo O ol otto Ott \ 000 oo o0t o ol o tlt 000 ool 0t(o t-"jtl to vz- sis /"-'norh'l y" //.,h Jaf,i - ol aota- ooo 0ott = i= { -l L;li KoJl'r on&lrlz- (-.l 1, ot oo 9a4ta16 bi^a1 CiL'l) '%,Jn JJol,L t-. <og,n,n ih'li Loollanme!t arqstnc:lelt lorh f t 0.8+o'qt ln-+ 4.\ 3 /,^zs' i/e ",.u,.i orlont,l sol 1,t,.-,lidir. Qz-v.i^Jzn e-lj* 4;l/"r ill/,' Aone/u-J'., "n/i/." h4' /4 ".''da " e,ll ej,'l.t L,'l /n- ise. Lo//cn, /qn tro/ua Lu"o/fo.,no9J<- 'l,tz 0 1",;1" t,'- /.-,J it a..,-,\ d",,-l, (ls)ro = (ttot)^ 1"1.4 f (4 z) to -*( ooo ' ao rt )ocb ) LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

14 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM L ojilc 14 Ha/,a fc5pif kjh"r &y,rtl L,'19,'/".,'^ lol"l' vga,olgo o,l/io/o'' StL/""/z ih/'^; 4s^as/h lq ls-/;r/; h,ic"' ga.;/h b,' / L{ <rl,--,'^,' 0'/o" 2 v.-,l J"^ r, ft,n &-g +/i,"'l;/,'., /'/L/,'fi,, er,-c,ny'n o/usol,'l*l L" /n /u/o'' ksf'l e/ ^,,4-l '*-.11 /o L,t/; 'e5til Q".d"rt/ ) 4"1, /." lla,,,a/<,'j".1 1:' y3^k-,.^/.,'r, ff /,'L L,'/;- kl v"yt etfl ol/,'1,'" G:^/'-, -J "l'n,,,-41t^-sag,nola/"-' i/l Las.*-p';/,ve eo//lic B- 7 /,/",,-" A"t'' '/;z'/- "'1.'l'/" h'lwat, AL"f vo' lg ' 1'rh'l zalil*'"7 o lur' srli tjh (]pl) Ett:,1 L[7i (1,fl) oo t oo 1o o0t, Oloo ol Ol Ol ooo 0 0\ 10lo lotl 'l(oo l or llto ol to t' 0 o o o,t 1 0 n 1 L)!,l 0 ( ; \ LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

15 t4' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM t (/'r b.t ft yt''i- '7\r:7' f-lr ytar't1 ut r t l c r L"p lo5 ' < bilt' _ {L--/LJ]----- t,f't ht" \v,'t, bns!" -s,e /' b.r' %l L, ), LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

16 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM b,5.' d-ji K.di.. Ldn- 12 Uadotr \c saa;1 t^ 2.l 5 3-i/av<oo 14 ot00 0tol 0tlo Qrt l ooo loo' to to lotl oo ej,-1 -l oo 0 0 ol tl auo ot0l 0 too,otl lol0 loo r looo lt l 2!3! 0roo 000 O0 to ootl o lo0 l0tl ll00 llot llt0 tt tl ( i 14' Li,l" ) 50L sQ)O 0 l o00lo otoot00 Olotooo Ot t 0ooo loooool vv v w v loqo loo lootooo to l oooo ( lr or a o o \t Lt Lo Jlu sax's,,^, oaol"il, L sa,yg" ctui.- tlol o100. ( llol Lz+Lq+o.L+1.1 = 7 O. 11 'l^+0l+01 =11 otoo)2t Lt -- (+c1,1o?j vlt(z)gt) LL'^ "l n:ss;^ ' Alk*^'AV tlv,llar Ai l g is"x"'j" q l{s";"-r.i lc (Ascrr ud") M -r.l 00,14 o{ $ * 0\o 0t0O toj lq',n g lsl*;,.; i,.; n Loll""J,r. LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

17 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM LOtik KAro,l34- b;^s.l (;L;l;) 17r {5t,.i ilci qte:,-^1-2 yqnltl,t d oi r,.,,l*itlz. 'te, i lea'n, 7i/e1,, +,i^', r^:-' \ --. Yrr", Ao.e^^w Jo. u trlv do.vmv clt*"<aa ) ttl ertl se^tl.si tn'1, R8r("*.c.), A""l.L/. J"l,* lla o l"rf'sl Valraq ' L &-a't< qc, L < o.gv vqa /..apu lt o/t-u* aotl Lapt 7zv a *---t- Y A -l--:-l v Y= 4 + B ts -=P ttl!!) AB oo 0r r"efllhi' lot\ Y,ewyJ'i:/g S t /t''l/ e' A --S-----'-...<--J _-/ 5v r Loj:l'-l v g =. Ais+ c OO 0,8v ov Lgil+! LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM to tl o

18 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ANAlvaJ Y Papts t ts bln Vcc0SV ) Y= A'B Lojil^ a( J4^ltt" 1 ljt,.t s" B e D Vcc OSV ) A A A B Y a N 0T C datrl ) ', " --tto--t kapst Y= A- A Y Nor AN;;^N[ ASGS (ve d3;/) btn 5 Kepsl a--nj =ij>do- & -t-r ts v' Y s Y= A.B AB T o ol o 14 o l4 lrlo Y Y LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

19 LoJi'l- ls LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM "lfn; "ot oet u$t4tt) ^ro'rr" aj; e t+-'- -t5 o.--s: /46 oo ol to 1l nfb Y A EX'OA(Excl'tdte esgs oil'd.j Dfl i:p-' q A. B r - /<e1tst Y: TStAB v=a@8 1=At+ AB A s LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

20 .,, l-cjt LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM EX-N,A ( ASqt A ----+f--\ t / 1_/ E x.lotivz- NOT' oa) - oqzj 'ry' cltfi/ DrN Y E E A& l,l lapsr -= 1= AA+ A8 : A@B AEB,t6...-sopu. BooLE cesr i vc- Te-o--r,rleri Ga-,3. B-lc r815 - r86 l+) ft- Al AB = A A (a+b) -A v'.j D*=i)D-ry--t Jri n,ir alsllo-lcr, op--l4rlr- u- t1-u-^1t" lziaat-s i B.ol. ctbri-^ A;rl..r" :.-,*Lt, L- A+o =A.A.'=A 3- A+l =1 """'A.D=O lt- A+A=/ Dtt7,A=A / -t q' (A) -- A '5d4urt"t' lz' 6' A+E=l A,[--o 7' A+E = 8+A A'B = &'A 4'iisnw 3z' ALA+E)=A 5oln"1 ;'.. A t AC = A,4(4"t B) =A '^'l ^ Zr\"(',!-r'^. go.u),, =)/+B G- (A+a11g =Ar(6+c) (/.B)C= A(Bc) pasc L;.4oe'3 = /+8+c r. q- AcB+c) " AE+ AC uhi,; = (4+B)(ntc\ (b'"tv hpt/ov t0- AA + ne = A (n+e)(tie)-- A (,"u^";sp"lhx'^) e 1s1f;1 = A A+fl6 +AB+PS = A '^Y{ 1 '...a.. - -a ^ A+A(-B+11) =A A+Ai' -' A LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM.*

21 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM c-? W A b SJeat' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

22 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM tz- ad+ e J. nc+e D. Mo.g,e" Kr.alr PT: _}E,Z =_< _- --=- A8= = AtrB, (r+a\ = ib + _\ r-l' L -= ll -F t< - a.!r< L";;t 17 BfAg = ncs-+e)rg=,a+g A.B9 -._s< A.+ y/) Fo",^nr, li;-r' [3""1c u.ar, q/z3igo"'la"'n'n, /,'1" f,,;.q&{l ti 4 \J.14 1 Bfz ne+ Bc(n+E)+Ae ll- Ae*Bc+Ac =AB+At ("\,,r' = 4BtAgc+ABc+Ec -- + Ac(t+B) t nec!! \'- / = *erli ts - (rt+b) C 13 +c) <fra a1 =(A +B) ( A+c1 1 > 5 " (l'b+e. r E tbc\ (Ftc\ = Gc+ 8(l+A+c) (e-+c) ' = (Ac+a) ta+c) =AAc+Ac+EB+Bc Vqrq A. = ( +E) (F+c) b;tl"- t" b,,ti. 4+A ='l t+a8=a abtb = A+B /4 +AB-= LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

23 Bo o ue Frrr.s t6 u 14 g.l LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ),.,.. ntill,' l-'. J*:sL-^,/' \{ d3".' Lt;rL. olq^,,/," /,' \1i Ln L- ;e 1^ i'r.). L""L {o^lo,io^_ E= AcE A=1 a=t c,or t o z. a a,, x " &^ l,ilon 0 "-tr^ / J'n LoJllo,l& -", r7) l- t" i o ri,:',rt ; ",t:t ffi ":)! :, ^ n ''LL dlf,'f L-^ liz /,o.utu. /J. g,.*n jo 2^ kn 0 te- l, /r_,.n /t's ksi"a 1- {-"Ls,V,""" 0 v. /,c '*.r^/"., t_ il o lj, bi. sifv"t ;llh_\ gdskan vq.dt/. Ft= Aga rt= 4tEc rs=,ific+fec+nd rq = Ag +4c = +CinctiieT\..:- ab.+ t e,. +AB:C -j (.t/ Fs = F \ F/ / c _DoJ o o A LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

24 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM Fl F2 $"L. *-k42"; ht, f6alt /."4LTei", -- e-bd+ n-ec --? 4(ct +36; J ' tn/,.th /e'^ E: -? trz t-siu 4? y'l ogon :u,,r/,nj". fux ln h* 1 Ft =(nea+abc) = (tba) -(t +E+cS (a +ete ) [n(fa+bq]-- Et A + (B+c)({+e1. ( Asc) =(r E+Z) ( 6-c+ ac; --n + (E'c)(ec),allil4h v. o /- - o-qa**-oh u;":k-i^w rvt c ls,,k-t^1.- d bcoo *4; sn.6l /.., ^ s.-lo,n Ol lo ol rl lo rl -i - ot bc' ale aa; at.- i- q laa qeabe /42 ft7 /'hj rhg m6 ml q+h+. a +la+e a +b+c q re+i a+b+( q +t +-c a+ b+( -i - qtb+c n, /lt, lvl z A4q Lle Mt th OrntL, /, -- ;6. 1 oeetob" niait<-falert^ f,_--. n,+41tryt _.. l.pl"-, " /"^ol g;sa ns+ml tn7,,) {, -'i- i i- ibi+qbc+qbc+qte+6bc 4 lac- -{ 1r- -f : (q+b+c) (;+b+-c) ( 7 +to+c) = lvlo.m". fu\7, r,l:, Mt arlj t / lr(o,br)= li1ttrit,'r tk7 = ( \ l, tn'+) -"> qorpl,al.r,^ lr/l^ (^'.t:!fi 410,u r) = /vl o. tll o lh, llls /r/ o = Tfu (o, 2, l, t, t) -->'/qlnn1,,, " q a rpat ma tzsi[7;, /14;= m; 1 7a; = r'4-; LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

25 a, LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM g},&' (7q,t,,a,dl= a (u+d) + i&j.si.i.. Pen,\l "ci L. m;";k-i-/t-.-n o lo.et<- if.& edi";z.) t4 A nla,um k-i^wi^ <'t1-' 't"-l i{{'t' e'l;;1' t' P. a!+ a"l +otj --* {oalcsigo" lz'ano"i L -- aicc+e) t ; J ( b+e )+'dj ( b+t) = aee +;1. + af,ataua + olri --a-ufca +; )+ a c c"r+l) + aj ( =-ggr-9+*4.r.!"jt " #! o t z s'f {a,r,cd -- E. (0, l, 2 t 3 / 5,7 t t o) tj) f c', u,,,"1 1-7TN ( 4, G, 8,q, t t, /2, t?t l, ) \t.,4bca. ^ry'/ =-_r rr T5r o \ e o ooo c :-f --' ooot A---l oo'o 3eLi/;+bih:,Acb xthn*.alil a qbc.4 o o rl O rod 3,i:.c) t ffnp,c,ll-- >. (3, e,9) +EJ(ro,tl, le,l3,1{rltj / o., c t oo lot toll tl 100 ( ol lo l o Lojil. 20 {n,^do 4.9i1 c+e) + alj (c+eltaijtol.j +ibaj+alc) +*9 \-.- n{- a o 0 0 U o4 \) 'l ^x x x X x ' -.lo - 'fqbd olilb,l../,a"2ar &^t,v, lc. : f,.tt /oal tigonlo..le il; l; o14-zz te-,.^ 0,ro; 4 olj"f, L"ll; ot<;, /J,c B" A;'../,- A"zrgo^,q,.nJ. b,",, L. x,!/" ;fq.l" -Jl/,'. B, ]i. fu.r,n /o. J,,ll.tk o /,on-6n") (/o,'l co,e ) / ,. o /o,-l aj /onlr,/,r l LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM t( th

26 O,&.. lco,a,"j) = oe * ab(c+j) +oz f6^[rio^,",. LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM L- r.tlaiana tr.r;- lotin i-pl'-' 'l^^l ;hk' t{iaiz' ). 'laxlialn " lqab(c+zlr q"ptv '.,.1 +J)*abJ(<+Z)+"1 a(b+b) qk'cl As hr" - 'a ^U, -1 - qt, + ot"" + ouia +ab'j + q)e{'l+ o taj+ abc +2$e t =r -1*i)+ qb6(d+d ) -+mt3+mt\-ttvllt = ab c (J+al)+ arbc!c * ^-:',-r l:l ""' -r., +q6cjn ogej * q0?j -r qb?d +ob'cd +afd+ Ml3'ttah+ - - ; nro -,,'1t.'13 Mtz P - l-+ f--t,r( S-( t'l,to'tt't2't3'l14'ls) or,, 2i 3,t4, 5'6,+) s6 d oc at,d O0 0f r{ lr \, fr tl lo lq 4 3 {, \L u.* {{,,b,.,j)-- d LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

27 sassletriame Y6NTg'.{.Leq,i R- /- 4"L,'g".1",, Fa/,gf Lu J;^1.; ufl, " l-j;l sl LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM.s'lp;rsuf ghk-/z-/z t,),"t";i/j;., tn Johl h'r i/e/;/'t v,y*--, Arl, B.{.*f -t # (aradu!4 u' lr"rl, R-l Ca fltihrt /44 0o ol lo AB+Ar5 : A ( A8c+ [Bcr A A,o,B"o /'{,B:o,4- o, B: 'l 3,t2i+l7l: l4r^eufh 6c ol $0 tu. o! Ol tl /D nl ry "3 r n2 o oc oo' bt0,1 l0c to, t 10 ti"i* nbg.l F=A 6 ol o 'i- 8tg ): A A ll kritl.tt c ol A OO o tng h3 Bc lo,lt nl,16 * rttc'ulia o /,lu u k-d-' a h;gc b q;qoae, l"t^t - u- oz soj'*o 4.i9t!.. d ltnmdt i ar'<' L'' r' ^ -J d'i+ l'-t"g"'', * 1.,n Lon ro' ' (l*o*, ",1,?,L,9, L,72 Ft F, '- AB Fz-- Ae iqinl al'nbilir' "' F= Fr +Fr= rts+a- V LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

28 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

29 4 a1,,3?/1"/'' )!r.anaqj4 A-czitt*t LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM L"j;L 2Z ca 0o 0l 0o 0l rl t1 5 t3 c! Ag 0 t1 0l 3 z drrr.l; o)t.o t4 lo oo 7 t 1t >^( L fr1' la to t artotg\ fur''k r 1,3,4,5,t0, t?t l3) hn Lsigon,t""1 s c d2.2l l-,'. i"i z to!- L,a lcl + fea + Ba _lt to 2,3,5, t,1, y,,lot!1, l t4 t15) f;- c+'[ba+ 6E A t) D 4 le cnv 00 E, ( 6, t?,b) 0t 's: 4D + Ab t l0 b.z!.1r!fr A LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

30 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM n; () a c o t. (< a J O1 f-- ( B+a) (^ir) ry lu'x,5'+\=?v Az 0') 0l o ol Z^ (0,2,4D.,44'l?' 1o lq)-- 1T t,2.,.. 7 g',9, tl 15) llm\r,rrir ''Yr '' 1-- (n +6 ) (A + b )( E + t ) ( E + t + c) '.yb f Ag.,tr\.,!BZlr t,gct+a6-ctr A {.,^ l" ca OB oj pr l.t, t9 fi(2, r._\ t,?, 1'l,l? rl) /!, lr l0 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

31 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM Lo./L- ll ^tfr. B."lz tl g ciq.t1-u_an4_s.i /- rmhik-rlo ls*' A qdjt++-; ( aa,p'- h.n f"pl"^01 ft,,lsi[o4 latnntx {gi/l 6r*l A B nf,nb NoB!- nnp /.j;t<. bp/u,h (, vedef;l v1 3"d.j ATB+,4 D gl \_ ''',,r1th e fuil6+z,-udz tltl o rg a,t /2., " t /< { =f= e-e+a ) f =(Ae, ^JANU r llan[ A f "-) = (as). (Ae) T UtPo-l'/A^tb -- G+e ) (A+ OA alpl NftNl i. f,- (t+ds ([+4-- Q+E)+ ( E+c\ NoA- & A 6 r=(t+e)+ ( Ftcl = F8+ AE LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

32 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM C_ ir4l"riy'.-,^rl-,n g..e4lza*..ri ( opb'^ln.'n qo.?)rl ) l-ojll1 2tr 6.*A y.f4rs+c)(f+ 8+[) op-nln N0p- A <. E a + P = (A+B+c)( F+B+e) - (A+B+c) + ( A-itst?) Noe -NoR g A. B. +=GE+c)-6#):,qEi + nec Al/bfu& 6 A Ecf= ABC + AEc: (AEC)(n8c) NA!A AN} MAT' A,'J' n # (nea) ( adc) = (n+c+c) ( A +s+t ) ""/ LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

33 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM a o) 0r lo o) cl \ o t o l o. X,l o X o 1 t(0,1,.,4 1-_ u ( a,3,qt6tf,il /4?)11) :Ta (z,t) 110,b,,,J1-- >;(0,,,tt4i,,l3,l t)+ ( z,+) lvo4 - ok l,-/,b,,{h Jo.qntr/qA,,,n;t. : m6'tn5-t ra2tmu +tat3i m,g i-tja+d7 t -=- Yt 1. M 3. /\4 q tt't1. M 11. fu R. ftl t t, b, b LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

34 /' L,.jitdJo, So.oton 2f, L- f G,L,.,A )= E. ( o,,z, q,6, +,, q, tl, ts): p^;ry1;l L^n1",,t, LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 2- f G,u,c,ot )=Trm(ri?,r.,9, 1l). :*A*. pif"d^ 3- f tc3c,d) =, >.^(o l,r,r,tz,ttr,ri1^ftj-cz,i,'tii,6ryg",.bi-o', ri"l-#'v,i*1.,'i.u,l?iil;^'2.,!"#ltt t'ii {'-nx; l,-r"n. A' Loi. boalo su6as, var.!u, banl,ol Jv\<sin;^ b;. L6,6! vor- 8u L.asanh cqr/notr iqin g.,<l ve yek - njjc r va e'r, cl 1,-,;F; -_.-K,] go lc'c r;;;. garjrrvrcrsr,vc_ il;, - nu'v'url"/ L,-J; Lagrnq L,,.gay, - -orsq L{. L,,ri ;le aqr lorvlaa. 7a,1lo, gttnla,slrr: \ L-,*, ma-^vr J ocobi lin ldar" sl..rf ".r- e tzl.rlerl l-.-.1 ro,u,,,d) =E^ (o, r,?,4r,(,?,&,9,t3rt5 ) a0 0l l0 F= aj+,- * or5/ a hcd J b-- 2- FCa, L,c,d ) = ot lt '1-t- / tyl ( J // ) Oo Ol F=(q+b+c+d)( q+ b+z+j)( /.+c+ d,( q+btd, F--- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

35 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 3- ffq r,c,j) = Z^(r, t,s,g,!?,t qttl) 1/^qz,7,tt) 0a 0t tl Loj:t+ ZG 4- f= ALa + dzj + qzi + qum;{ir -> A. ) t4,.1+. 3dt4 r B.,,l,^a-^tr ) C, 2. -arn,)r -+ D o 2? q 6 + r q /o /t /? /4 t D Doo Ooot oo t0 Oa O Oo o ol Q to 0trt oo2 r ltl lott 00 0t Qvi"z a aa a^l 'l 4 4 cl 1e ol /8+iDfAc+Bcb M.Cfu s L4 Y6al+ai(Tcbl o W 5"4t, Q. /vl. \l5 alc^: n: L.ll".,,aL- op o g, &la' Zqfu)41;,i aiz. Ft.,r,gi=X.( o, g,'l! t lt, 44,'l 5) iq;nd. O b,,,lua.axoa 3r,.tro,, o /'l 4 6tltnta 'r 2q i 0.l 2 a, a!j&_:r'_. o 0o o / oo;il oolo a 1000 /,t0 4o,t 0 / nt 8,2 tj,8 2,lo qt0 7a^8i.1 * - E*14 k"k,'j-","" d )< lz ooooo -o/ - O 0 Ot/ -6 t o/ ri-o/ ll /o/t /, 3",]q,l 1/ o. '/ t0,tl t'^ t- t0 t5 ( //,1 tl 11,t4 T"Llo! JL5 4 t4 - 't 'lo Ah.? LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

36 bt';l 27 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM w x t.l o) 2,slo q2,\2tt0 40,14,l\ttt r0tlt4,ll,lt l 4 F(r,t',g,2)= w i Y + x z + *Y a obl. 3 flr,r'la, tr t4,b,e) = A Ea +A ee +icc+aeatabe rabc -'"Lt'Xo 4' Tq Llo lt "k-*-vl tr qa,c) = 2Q, 2,3,q,e,+\ A BL o -o oo/' 2 L* 3 6 A 8C o,7 0-0r' - a t o /.- O,t o 0"" 'l o o: 2l 30 0 tl,/, 'l 2, / / t2 /' 4, 6,1 o/i 44t/ 3,7 -,t Ta 6lo 'l 6,7,r 1- /i tr-_ B+a Ta blo2 j. ote/t74r;n'7- ;tl./l q 2,4,6 l, tr, 2, 6 -/? Z.n 6 L_- --o -l ;- abto S l9l""i-,' F ( L.', x, g,r : Z-( 1,.2, {., >,& t2.il] ) -t Zr ( 9,ll'13 r51 ']"" t'z- Me (lus.'d,i*--'^; latl\a a".al< sa de)t\1ir""i c /o.lsi.9oavav. \ tt s" &tlt4 m' a f1^u'a0",. a1 "'" { NA - oa htp'tenar l'-"lb'-'.. L t,, bt NkN[ - N*N b, J SuqeL4l i''a;z' s1 x gl., Oao\ r' z no J \ O oor'/ \ o oor' ; Qloty',? 0ot //' /. t t 0o v t/_ l ott '/. ts l/o/ y', lt4 o r'z /5 lt LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM,_ 1qLto t _

37 urxjz /, l< 11 -^l / 'i,s "- o-o i /, 1.,, Otrc- r' /.t? -loa / U,'; 4oo- /?,tz 1-0o z tr, -4ol / 9,ll 40-l / i,'it 4- lt 4 l?t t9 l1,lo- -rffi-!i??,l t,1, ltltlt '1,r )) li- z w x Lz._ 4/qr,f3 -- t9 l - +i5.1?" ''- of - t cr't't2 U';i? -10-8"1,17,t3 4 - o- -4;R"- +.t: t, l-?. ---*-- -' o"'l ' 1=e. ' "?) ltt t?tlt -- -1;t3lffi -w,t#w -1-c blo 3 4}k, LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM T^Llo 2-28 L."+.ol [s4,eh b' lu ^ ', 'qd".f<-n,,-,kr. r J t ll J z 2 1,s,1,t3 Lt,t,1?,13 wxllz ;7 J- v.t uu 8,1, t2,13 -!;+1r4J w-e-- t?, 13, )\llt wn F( /(,yt?): r,fg A^JD 9,l/.,t?rts + iz +xf twy- tw0 0A FtutN,t) o 'tsppw '4n J'LL^- eln-a? - -v x.-1) -- r\ LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

38 F=G *tt+3++xl+wi tcux =la iyt ) ( yz) ( xj ) (*y) (u'x) l-j;/l 4 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM t -v_ z g? J LU J x ----: qanl ez /1Jo/L Lnp,lo.,n,a J,.'tt,'t t.' - NoT, finl,$r"ernokfon Ls i;1onl" a n,n ri-/rqll0 l,o prl".,4l a 3zr <t LL4 lir ilyws i /1 _N!.r a t> -t) ld-{ V- da Y v- 4 pcr ra\ Aluu wt? A & A-.t$"-- Al'\^ fv t".1ill A t=+q+-n > t=i)-v Y =AB v -- A+B LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

39 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM Murat UZAM PCBT_PLC İLE LOJİK TASARM bir fonksiyondaki NOT, OR, AND ve NAND kapıları yerine bunların eşdeğeri olan NOR kapılarını kullanmaktır. Bu anlatılan her iki yöntemde, ilgili eşdeğerler yerine konduktan sonra kapılarda sadeleşme varsa sadeleştirme işlemi yapılması gerekir. Şekil 5.24 te NAND ve NOR kapıları kullanılarak temel lojik kapıların nasıl oluşturulduğu görülmektedir. Kapı adı sembolü NAND kapı eşdeğeri NOR kapı eşdeğeri NOT (DEĞİL) kapısı a a a a a a AND (VE) kapısı a b a.b a b a.b a b a.b OR (VEYA) Kapısı a b a+b a b a+b a b a+b NAND (VEDEĞİL) Kapısı a b a.b a b a.b a b a.b NOR (VEYADEĞİL) kapısı a b a+b a b a+b a b a+b Şekil NAND ve NOR kapıları ile temel lojik kapıların oluşturulması. Sonuçta bir lojik fonksiyonun gerçekleştirilmesi için daha önceki kısımda anlatılan 8 farklı yönteme ilave olarak burada 2 yöntem daha anlatılmıştır. Bu 2 yöntemin nasıl uygulandığını bir örnek ile detaylı olarak inceleyelim. Örnek 5.5. f(a,b,c) = ab ac şeklinde bir Boole fonksiyonu verilmiştir. Buna göre: a). Verilen fonksiyonu NAND kapılarının özelliklerinden faydalanarak sadece NAND kapılarıyla PCBT te gerçekleştiriniz. b). Verilen fonksiyonu NOR kapılarının özelliklerinden faydalanarak sadece NOR kapılarıyla PCBT te gerçekleştiriniz. Fonksiyonları PCBT te istenen lojik kapılarla gerçekleştirmek için giriş ve çıkışlara PCBT te mevcut olan giriş ve çıkış isimlerini verelim: a PA0, b PA1, c PA2, ve f PB0 olsun. a). Verilen fonksiyonu NAND kapılarının özelliklerinden faydalanarak sadece NAND kapılarıyla PCBT te gerçekleştirmek için öncelikle verildiği şekliyle (AND-OR) lojik kapılarla gerçekleştirmemiz gerekir. Böylelikle verilen f(a,b,c) = ab ac fonksiyonunu lojik kapılar kullanarak Şekil 5.25 te görüldüğü gibi gerçekleştiririz. Bölüm 5 - PCBT ile Lojik Devre Tasarımı 93

40 LoJ\'l<- 30 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ---=- / -2& v -- Ar8 N"1 ' NoT, A^J0,03 Ya NAN0 3 u,tt)jz'! hri lrf,asi A _ >-4 =+ A A p^lsi6 oa lann ta {-+-J il0a'/-to,/nr,11 fi U '1 =F oa-. A+B A #\-_gj F- ^.8 ) E+ tl'' A s \=A+& Aru! A,.1-*48 M^JA -r a -f-.-j -/ g ---Lr Y=tB J- a l$go la"ula r (x+,1 ) (i++) : xl tiy o lj.f.^" gi,sl<','"iz-- Llt = Xt +71+ l+ )'.{"rt-tx-1+ (xtx) =Xz+rU r xlz-rff? = xt (t+y) +Vy (l++) = X++F k+ frg -* A+B oljviunt gdsl^.t"tz' /1 -r Ab -= 4 (n+6) _ aa+fa= AB r : A+B=AtB.l':l LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

41 (r+\) (i++t LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM * tr+t r )(.e - lx q i X: a) ) rx*4,l \. ira*; o'9 \ t+ag= rg+el+ae o6''^g}tn;", n*-n ) 46e+-v]-\ * B tt -,l -,4+ts a inb. /(ttb)tab ne +Ag.t A+ o a+d a+b CAiA) JJD...JL' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

42 3- AB(Btc); AE oldug",n gsr*ca'niz 4BA + nsc = Atg f Aec -- A B Cl tc) =Ag 4- A B (A'+B- ) -* o, lj';,^, 33s{".r^i1 r'1 At'A+AYe =o / 'O o n+e1= 4+E o lj3-r'- gls.l-..f,,ra. L.jt'l<-?'l LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM = AtB 5' AB CE-e +Bc) -- AEc ol{ug""w sbs}<;,,i2. AE(F+E)r ABEc = ydr /AE+A EC = ABc + - AE [s + ASpc = ADC- ' (A +c)(a+d)(s+c)6 B +b) = Ag +c[ o O. ess*<;na.. (o * 4D+,rc+cb) (B+ Bb+Bc +cb) = [4 (,r +Dic) +ca)j[ B ( r+o+c )+c{ i_ f = (n+rb) (nrcl) --ABtAcb+BcStc-D ** Afi + fu 414iB) :,qa t (b '" -D;:-T,\+-i\ F3 F F =? - A-v E- A --N pr -- Fr = /\C Fz-- F,+B -- nc+b F3' 16 =(E+e) 6 \ = Gi +E) + E = A-c' P, + A F= -*tr = A cfi1fi -- A Cr6+,1) =A LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

43 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM h A + ^b '.- Alb (4+ B ' A tb A+E-$i A+A t 6i' --,i-;iry1 n+ etuil -- A+B 4tr+E)+nB >! _-,+e+ /f+n'r +1$ \ /-> v,--r -n.f -. A+A) A(ts+B)r -' r+e h+6qf, = A+E -ir l\+(a'ut'..,;r+fi6 A(4t>t rt AE+ [e e r n+f) A+ b'w /1+E LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

44 1' Loj"k- 32 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM c-? C=/ Ft = Al3 c-- Fz--AE F3 =AB,,-- CtUl(xte); (e+6) (*tb). n/nftnar 'gl Fu. AE +FB, Yo'' '/"P/'g'"', ' \ exoll Ldfi\ ) 40- A A F-2.^-i ft =re F, ^ ap. F=Fr: (7+E)=A = Ae ta{ = LTr; ( AA ) =( Are ) (ArE) F--Fs'- AA /'F6 ( rxnoe Lo,",s, fabtab+ LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

45 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM fi.o,* Lir".sg o"rl W,2'1.4' t' An'/^oh'k 1-''-/z' /i' bj,.!,j.t/u (be,-&"s) ( *' KoJ loq'qh- ( E n'njnts ) \16 koj " d.;^js6;"t;';" "r ( ado- G nverl'rs 1 "f ' f,tnrnp, hsfyu la. -( r j ^p. a{+s) - *_wa";i:rk. t r!::'it;c;il " /1 s e Lojil'u 3J /..!n a) a, lo Ar,'ftwt np /J2)' r"- u-.. : f 'D <n cp 'ur> /a'1rcr ; o a qo +Jo t,,/ue/4t cc) (s) Sv,a 7a7la, ( s ) &Cc) s= 4&*48 = 408 C r /8, (r"rto11 C(Etatc 1 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

46 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM L?i,'L B4 am /op l4gtll \ A-, A 1 A", As EzBLEo 9-i r= c2 tr cr \ Ao h3'\ /.'\ A1 ', \,Bo *' Bz +Bz \ * B, --,t-,_+ L^.- i, ss 3l s, (9s, fg s..lli, 3l c, t ' - - co,o LO :o ql tl L( A S -i.t oc D lo O) o l. to o o o o o -,l&,+u l o ci )2 ol ol R CD vl 31 tl s=,4e cr + ab cj + E BA + At3ct ("-_ ACt f A3+BC; A EC; EBCi LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

47 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM J_"j;L fs s= Afia;+Al3cr' + ABcl+ AgQ' r -- A( Ec + rcc; ) + \(Rci *E ) \, _, _-!.-_./.- c-*o a ex- 6o a -- :=A(BOC.)+A(BOci) /'-\.. s= Ac)b \]?Li,41 ' u"l(..j"lr s,-- A@R s = AOBOC / f'tl J'tJt' ele 9ir.1i s - AOB-@C c; --.-'*_-- A - +_A\r B -,4)),r--T1',u LD-, - C"-- [Br,' + a B c,'+a&{ + A 8C, Cn=GBr tdsc " P<([ tc ) ) \ f JDR Lp = \.r!'/r._f1t\r, L_. Lr>r-+=r- -2_//.t hp lo- z,- s'hs' roz"u/&- Ag tul tall.' CoS h r.l r'rr \-o F3 fo B\.n lol 't' lrg' "t D At 6a \ \ AB T CoS AB 'r7 c.5 ( B 4 L)6 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

48 Ya.t Q' Lentt t l-0 f..la b,-o A=l D--4 D =o bolc, B--o B"'l E to E =o o '?'''o ^ L 0a vt to r Ljit" 3( LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM B8 oo o4 00 Taa J): 1! v.!:" = Ey ql laaqra \z A <1\l'dtt\t: / z 0 ') 5 b o oo o6, ol l!2 lc (l o j) (/+\ Yt 0c 0l il@y 4,, ft t^ -?ba r q R e'- L o'- -t\f; r.y'n t'.n 6\' t, 1A = ',*X -J v 7 /Fn-,l /./?.o {\r SlrtLt2l { D" +e} 6-o- J *"x" n' e r r \ -_g'- ;---T*-t ;---6, t o 0 ol\ ' oo\. 04 a0 r, qfa y-{gtll a 1-->, /: A $-- izli'ry+y+ l0 t-,lj?+xjt+xjz f,<y? "/ /o oo 0t/ c LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

49 Loj''L- 3* LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM.krL h,; J -- D:X A =X- ( yz (yll + (a 6+) y@+ Y ( iftya\ c76-+l X 3 7 D({^'t"') ig ( a"rr) D=?f+ + fyt+ x -,-,5\ = ff+ +xv (? 'rl -- xg+ i[+tryt =1e1(;f+x1)+ tjl -t.fxq? y,lt -* x9r0-@y ) c fy + ty+ + LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM iy*

50 - 2: k-d j l'al7l;iri.t/er: KoJ,Art*,r- t-"1'"l 38 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM bi' Lt',. l".j,/. kjb,*,1 tugy, Li-J,p<- /z-do <.^t,'.*,atz 4 x,-- RcL - A.ttL-3 L-L.,.t \\( Y'"\'' d, *l- :. t u.,". a, bve tz-oauno a.' 3 ai^.)lj^ ic..;4. t''' LoJ J;"1;,t$'i;;- go..^t)lt e1,n t i^' L. -! / -)(S Q eblt x J 4 q\r+-_q+ oc o0 ooo\a? tl o,l-ffi{lu:,4+b}fgc -b o o \ o o tl,b '"5 o 41^ o ' o 1 io \,o, r to 10.t ol lld 0 0 t o to i ro o e6!:--e!tr-,-l! 10 t t ; o o J' 8 o oo r o ol 'q o ot \ t oo c^ a9 0l tl l0 0O Ot t g ol l' X= EE'+ED+ EC XX J= aj-+ cd 0l /l lo lo (** LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

51 3- KoJ C,t.lqj2"- Ctra.-&.d L"i,',L 37 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM N g i.ls i/c z' a'lof l N. o oo oo o to (, r\ loj l.c r lt 0 fitclve,'tlteh) f c,l';'o' /.. znq Jur" a//' 9t rttu{ G) N N x2- b6el.. C r., k-, t 0 0 X x U ll 0,( b.r. D t2o O o 4 00 t) olut'/ Ooto o o o\ Do e.l;l6l< /., \ \:>/. u/ u7 *. 03 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

52 DECODER A decoder is a circuit that changes a code into a set of signals. t is called a decoder because it does the reverse of encoding. A common type of decoder is the line decoder which takes an m-bit binary input data and decodes it into 2 m data lines. As a standard combinational component, a decoder, asserts one out of n output lines, depending on the value of an mbit binary input data. The general form of an m-to-n decoder can be seen from Figure 1. n general, an m-to-n decoder has m input lines, i m-1,, i 1, i 0, and n output lines, d n-1,, d 1, d 0, where n = 2 m. Although, not shown in Figure 1, in addition, it may have an enable line, E, for enabling the decoder. When the decoder is disabled with E set to 0 (for active-high enable input E), all the output lines are de-asserted. When the decoder is enabled, then the output line whose index is equal to the value of the input binary data is asserted (set to 1 for active-high), while the rest of the output lines are de-asserted (set to 0 for active-high). A decoder is used in a system having multiple components, and we want only one component to be selected or enabled at any one time. d d 0 1 m select inputs. i 0 i 1 i m-1 d n-1... n output lines Figure 1. The general form of an m-to-n decoder, where n = 2 m. decoder_1_2: its symbol and the truth table. Symbol Truth table 1x2 DECODER A d 0 d 1

53 decoder_1_2_e: its symbol and the truth table. Symbol Truth table 1x2 DECODER A E d 0 d 1 decoder_2_4: its symbol and the truth table. Symbol Truth table 2x4 DECODER A B d 0 d 1 d 2 d 3 decoder_2_4_e: its symbol and the truth table. Symbol Truth table 2x4 DECODER A B E d 0 d 1 d 2 d 3

54 decoder_3_8: its symbol and the truth table. Symbol Truth table 3x8 DECODER A B C d 0 d 1 d 2 d 3 d 4 d 5 d 6 d 7 decoder_3_8_e: its symbol and the truth table. Symbol Truth table 3x8 DECODER A B C E d 0 d 1 d 2 d 3 d 4 d 5 d 6 d 7

55 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM A A 2^l) &,,k 1t z 3 A{b oo \o \l tz3 o o9 \ Oo 0 \o o o\ B f,.'{i,rc t S q,'los lo" -,r-- Fl4B:i 9_1.-zl {^\ t i \ "": \o^ 'on,nn Xli"\r,ol "ol,,tlrlto A )-1?,(h L o"'irl;!**hlu^j'"'n- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

56 g irillr Nxtlz L-,1 L L"d 4, ozv(a a,lrzsl"' Ao A, la - - bts Ot4- t-o-1 Lojik- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM oo0 o o oo \ { nrrrvr a"u1 \ a, L,.f 1' ",W /4 o 4ut, l, A,b r.t^ )"J ' ' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

57 '"9 B*/o +o LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 4n Ls; yonlo n *o' k""/ 'ti' z'3'i/"r L 7ot to /ttu#n/^a1 B,'. L' J ''! ti,'i 1.1," h7 /o5''t to'' Y,4tr) =2 ( 4'?'U'}1 = i^,i,,,'->(t't6'?)=,,e. ;L 'dt"r 4! ( Yl.(?.:) l'op's'g/c " v9cl'ksttr'a ijttryll xif+ xyt Fy+ +xi +* Y\+ 't x Y z?x8 t'att.v + t (' 7 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / \ Doç. Dr. Murat UZAM

58 L;L- 4l LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 3^8 SS c^8"'t lt.ottl*as t tij, ^ o*"'* ile txl6 L-,t,.i',"di Jetr<ia X J? Ao-D+ trr - bts -l f 8cl q e "l -1' c, lfb / lcd /\. \ t;,ate-lt1 onr't ilfjl, *-*--. /.,!fd,41:4'ji'll*,;;) Dt ot;t r* o4^ efi,r-rl7'i7 r! '1t'i-i'f' un i)' tl,i,fr'q l)' bt'bl' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

59 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM loj;t- 42 F b o r l"t "hl Ajls Bn/#E.i c l-- """' -A ---',-t /.: LSE, bc q A D A O U" r-^loi \J' t no lv tu', on o, 'o 'o t (t O -o t ol r i r') 1 0 rtl Q 1 0 0: e4 tu lt w 'r la'.: l.a,;, rll ','r'','r', l: /i.1 \ i l-! li ', l abcje-{7 l itt tl O? \ '"i 100", ', t 0 o ); tao'tl ", 'o,', 111 n, on 'n u' on orol 1 \ t, ', n' '' i \ o" t'1^ '' * i,;,-" ^ X!,, )a )' ''. x.,- t )" - - \-t ''v/''.v',*- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

60 Ac BA o, o'= gl 51cn+c[ 8A ct lt l) o? ol lo Bi Ac l9 L5;r< LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM r"" Z+ En r BA at tll tl 0 o, Dl ll l0 6 T t,l 1 l) 4, x. - D+ L+.' d4\ oe -t- ( A3 A+D B+c En +C,4, t.:f1sat cb+cb l--g =-l+aan(.-'bel \ r. -." J " A O ao )CBA 4\ ll DCBA l-r, rl t, t \!-L_ \_4 \ 1:=*-' c r =$>-- -" t. l\-'--*"*--^ L--/ t J-\*--"*-"" LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / -" Doç. Dr. Murat UZAM \ /

61 D c B LoJt a- ql1 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ts r /1ryt d ee ot1. d9u lz-q le tve. o rlo l* q ^ol 7L,ry:"L;J1a1"t ;t';i \ p2fu3 '-L- [-'\--- A 4O Dt oa o(-) D- Dr h PA- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

62 (PRORTY) ENCODER An encoder is a circuit that changes a set of signals into a code. As a standard combinational component, an encoder is almost like the inverse of a decoder where it encodes a 2 n -bit input data into an n-bit code. As shown by the general form of an m-to-n encoder in Figure 1, the encoder has m = 2 n input lines and n output lines. For active high inputs, the operation of the encoder is such that exactly one of the input lines should have a 1, while the remaining input lines should have 0 s. The output is the binary value of the index of the input line that has the 1. t is assumed that only one input line can be a 1. Encoders are used to reduce the number of bits needed to represent some given data either in data storage or in data transmission. Encoders are also used in a system with 2 n input devices, each of which may need to request for service. One input line is connected to one input device. The input device requesting for service will assert the input line that is connected to it. The corresponding n-bit output value will indicate to the system which of the 2 n devices is requesting for service. However, this only works correctly if it is guaranteed that only one of the 2 n devices will request for service at any one time. f two or more devices request for service at the same time, then the output will be incorrect. To resolve this problem, a priority is assigned to each of the input lines so that when multiple requests are made, the encoder outputs the index value of the input line with the highest priority. This modified encoder is known as a priority encoder. n this article, we are concerned with the priority encoders. Although, not shown in Figure 1, the priority encoder may have an enable line, E, for enabling it. When the priority encoder is disabled with E set to 0 (for active-high enable input E), all the output lines will have 0 s (for active-high outputs). When the priority encoder is enabled, then the output lines issues the binary data representation of the highest priority input signal asserted (set to 1 for activehigh). m input lines... d d d 0 1 m-1 y 0 y 1. y n-1 n output lines Figure 1. The general form of an m-to-n encoder, where m = 2 n.

63 encoder_4_2_p: its symbol and the truth table. Symbol Truth table 4x2 PRORTY ENCODER A A 1 0 encoder_4_2_p_e: its symbol and the truth table. Symbol Truth table 4x2 PRORTY ENCODER E A A 1 0

64 encoder_8_3_p: its symbol and the truth table. Symbol Truth table 8x3 PRORTY ENCODER A 2 A A 1 0 encoder_8_3_p_e: its symbol and the truth table. Symbol Truth table 8x3 PRORTY ENCODER E A 2 A A 1 0

65 encoder_dec_bcd_p: its symbol and the truth table. symbol Truth Table DECMAL TO BCD PRORTY ENCODER A 3 A 2 A A encod_dec_bcd_p_e: its symbol and the truth table. Symbol Truth table DECMAL TO BCD PRORTY ENCODER A 3 A 2 A A E

66 -,'c DetL / A cd 2-a/.y tc.1 da2.<- rd,c/bcd \. Aiacg,k /. d,q ilcb Loji L- 4, LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM tl o o oo lo tl tsc\.l. J, Ar- A, Ao D ol,l 6a ol to g3 ^.1 At" E*1 ^ i.= +t ^ ts1 : - t +7+L+7 A"=4*3t>".-*;-aat -t S 'r'\ A- A" t'/tn seg,n,n e-5i/- o/,.,7 /noolj," {=t>-' B":i/ Lo,Yl'sh"'1n,n 9-ll\-r V l-.' A=B 9 -lf---:c- o A+E r -/ l_/ 'l -)T-*:e--- a /+E O -/ J-z/ A=B i -\f)p-- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

67 2 b'1 tti( ih' bi'ot\ tt,il'n"t*" A,Ao B, B. Loj;/. 4 6 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM tlsg LtB At B r Ra---\,5o /,'L Li!a4!thm 1aa ry tl"r,hr'lnz-i1 A3ArA'A' 83 B" B1 B" AE E' -\\--> -'-7 J_-./ B"*) ft=-b &sa7e, A<B lz 4>B A{,U',A,A{A"j B- BrB.A,B_" /\ l,sr LJ 6' Bj Bt Br B4 A<E LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

68 4a LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM Az-7Bt At=Bs At --?s At-Br. AtlEt x. X. )q & X; &n'1 (-q redi=d,"-r; (i: A;B; 0o 0l lo tl *A: E --) (4 = E) = &. xt: x t. r",1n, t r[e-r) ( a,ej A-tE ") (p, r, t 4 {) (t" AtiA) 6>B)= As\a xsa2b'-+ XsX2 AiEif X4X2Xt#oE" - AsErt (Arsr+[ l. e.f"i(n. r.ta.ij! f'j.tlr B.),4, B,+ 4{"nG E)(*,s,*fr,E] U<4 = ' 4' B, t tnzett fi s h+nl tr Xa, )(,q, g, +n;a, ) +" Fl $$148._ t(h h te rib,t,i$1\ t rf,fl ),n,e,+f,l) i, r. g,, LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

69 -'), tl?a A = As AtA, Ao B. ts:8 rb,8o Loj;lc Q LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM -A' bc- 6, A>B,fr A 'Br 1,rr{ k-) At 8l ) A_R,40 B, Rr' i 4<B E B.E A, LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

70 frl;,,b H= AiArA,n. rc R = BrE2l'!' 5 t it-'al'+ 4;'1 Lif/:L' LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM T,-r,,ril'r,'), u''^'*i' t' ;L' s'!' b"' "'"r/<- 2n''7'to1finl,rsl"faoh '' A> E,r-<- A - 13 is lu^; 4 +B i7l<mi A< B is- A + lolol)"ir lq"; l ap'la''al,trtr' 4 '- E ise ' t t'ri t i*poca L Li,.r,'l o'il"p:a'l- F u"'' ol. n dt^/'z! i Ko,5, l" 1l' r *" v<r.>,nje- Li. ',:z;"t L t.l 1"so.lo5'P d!''^ " ' 6o'-'")htt A/l\;se- A-B) A+B+l Az- A. t3, lr" l& ' Bo #:?l (2 ( 'l ' c,oup {'t,v1t^- '1 qhi+t'la' 47B A=' A<B,l&, l. Ar Ao!'s, Br c 4 btl)'tl A>B A.E *<B \ -J ta>= AJJJl1 ol1 /ol,o D-- A1 A1 B2 6l B co b$nl l sz,i_ 5}.f- s'- urci_ * _J o LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

71 lq t 'f2 (6.e{alloe',''l,r) 6 - D>" 3'*l.it"- (g" sec.''i hr) _,2\ /utux ( A'tulliplr*,.s) Y (rlarp L;;L 4t LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM t' -.L*t,' Jl.J o L z (i-t) (-"+-t :^,"kj T" - T. 51 Y: oo lo ll. Tr T- ;--- =--.at --r 5,5. Jo+ 5,J.1, f ),Jo lz'fj,)o Jl 'to -t t- tr 4 ttux 1= s-'si.br tsz-s,30 & Sz-S, S"f, 1 3y5, i J't + s?-s, s. r? s1s, s, Te. sr 9 -i -T, ' S" tll"lt LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

72 MULTPLEXER As a standard combinational component, the multiplexer, abbreviated MUX, allows the selection of one input signal among n signals, where n > 1, and is a power of two. Select lines connected to the multiplexer determine which input signal is selected and passed to the output of the multiplexer. As can be seen from Figure 1, in general, an n-to-1 multiplexer has n data input lines, m select lines where m = log2 n, i.e. 2 m = n, and one output line. Although, not shown in Figure 1, in addition to the other inputs, the multiplexer may have an enable line, E, for enabling it. When the multiplexer is disabled with E set to 0 (for active-high enable input E), no input signal is selected and passed to the output. n input signals... d 0 d d 1 2 d n-1 s m-1 y 0 s s 1 output line... m select inputs Figure 1. The general form of a n-to-1 multiplexer, where n = 2 m. mux_2_1: its symbol and the truth table. Symbol Truth table d d 0 1 s 0 y

73 mux_2_1_e: its symbol and the truth table. Symbol Truth table d d 0 1 E s 0 y mux_4_1: its symbol and the truth table. Symbol Truth table d d d d s 1 s 0 y mux_4_1_e: its symbol and the truth table. Symbol Truth table d d d d E s 1 s 0 y

74 mux_8_1: its symbol and the truth table. Symbol Truth table d 0 d d d d d d d s 2 s s 1 y 0 mux_8_1_e: its symbol and the truth table. Symbol Truth table d 0 d d d d d d d E 6 7 s 2 s s 1 y 0

75 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM go. /e f''" l'a'6 n "l orrnt n Ao /.r kqi.i i /e. 6 uq ctr-h1'lri ln -r L"j;1,, 17 F(48,c)=5(r,;,le) t' Lx 1 t. A BC o,, o,o'ro 7 s.c l. r \ o ' o : \ PiJ; i l r o1' 't\,tlp 7lli, ' o "y f- (A',f3,c,b) z Z (0,1,?, t,t,7l re.,ici i/c 3atc,a,Lltg'h'ria tr) {, ^/t*rjonv,tv Li, Aotr'q o 8xl t Mvx 3L T, 1 Jr Jr JL Jl lq rj JL J7 rt rq@ A\CA,F {',:i t- \',iit, 'o' l'": t'i i,"1l\: 1, p' t"- JL'rl :2-- ^ - r cdl-l-qz-- idsorood t,t, oo \o rr 'o l! l] r r 11 +JzJ,5o LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

76 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 7- DJ" (V,'i) b,.g,hc,lo. (Denaulh'pkxo') Lej"L fo Veh'?irili!t B, ' t Bn-, sec;q', gi 'it ltn So Nr ba D3 -^-.'^ 0{ lo ll 4- E )Mi/x b3 N,b, ' -^ N n ; -?- wvv- 0 0 t0 o0e r0 00 Posi*{ v- 7"ulil l"iil H('sA)--.1 J-(q"') = A. t "r -'t 5'-51 N t1 an t L-oJt rt- Ngch'f l-1'tl Hcgul -' o LUt) - t p0{ 1"7,s, lha,tin--l"- gtriyli Adl\ l.ap,r, '^ 4 ---{-'...- Y \ \, '1,/- c 4/./.- V: AtBtc - NoB-- \= 4.9 C NAND l"^ p,s, ue A.iivs -l-a"' A -1-- Y LP--_ C-l -t, Alzc \l- A+B+' t- l^t=*>-y=nt[+f )" "-{ Na,h'f - AN) l-?'s,? le 0 R laep,1' 4:5-\-Y=A+B+a z '-- LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

77 DEMULTPLEXER A demultiplexer, abbreviated DMUX, is used when a circuit is to send a signal to one of many devices. This description sounds similar to the description given for a decoder, but a decoder is used to select among many devices while a demultiplexer is used to send a signal among many devices. However, any decoder having an enable line can function as a demultiplexer. f the enable line of a decoder is used as a data input, then the data can be routed to any one of the outputs and thus in that case the decoder can be used as a demultiplexer. As the name infers, a demultiplexer performs the opposite function to that of a multiplexer. A single input signal can be connected to any one of the output lines provided by the choice of an appropriate select signal. The general form of a 1-to-n demultiplexer can be seen from Figure 1. f there are m select inputs then the number of output lines to which the data can be routed is n = 2 m. Although, not shown in Figure 1, in addition to the other inputs, the demultiplexer may have an enable line, E, for enabling it. When the demultiplexer is disabled with E set to 0 (for active-high enable input E), no output line is selected and therefore the input signal is not passed to any output line. y 0 y 1 input signal i y s 0 s 1 s n-1 m-1... n output lines... m select inputs Figure 1. The general form of a 1-to-n demultiplexer, where n = 2 m. Dmux_1_2: its symbol and the truth table. Symbol Truth table i s 0 y 0 y 1

78 Dmux_1_2_E: its symbol and the truth table. Symbol Truth table i E s 0 y 0 y 1 Dmux_1_4: with its symbol and the truth table. Symbol Truth table i y y y y s 1 s Dmux_1_4_E: its symbol and the truth table. Symbol Truth table i E y y y y s 1 s

79 Dmux_1_8: its symbol and the truth table. Symbol Truth table i s 2 s 1 s y 0 y y y y y y y Dmux_1_8_E: its symbol and the truth table. Symbol Truth table i s y 0 E y y y y y y s 1 y s

80 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM t1j,'l s4 L- Ap-btFtk LoiiK_ 14 o^o slatola Mu /h v, L..li. ( 7.2, -'2 LzrarS D hzavn /.-a.../t L4a"* sa/"'f ) ufr.q 1241L p",..t -. {<s,a AaE/1 2- EisJ!.Lle_/u" //iv i Lra y'$ r l1 t T. v.lrttu U.rrrYA B- A sh ,' l{i,zi L,z.l'. ( ( /k4 t.d.t.tl /aa.q.s t1 Ln"v,n sol'/ )'. f /y- f bpl.. - 1,.+.^ a"-^ul\ - l,4,,sr +.+.'Llt *,Jt FF. - e,b t,jr l.- '.su,! ) L-^u.n 5"t,,'f ol" n\ Eu e, ht l-rcr l,.irdttada qltr'i.a&a al<iis ir. c- oc-le( zs,n^a"l a"'<) s ; ag"a ) ltt k BiSrAE L / act.ir. \ (t.w Japof s-a ta.l^ f L;. l^o""^ snh,'p Q4,'lair. /L l,s,...r,t /*,* e s*ll.,n,, /h.,t;l,-lsr L,^.^1,-,- q.,,d<thlq t.ilq*otl i zl,?z b,> osilq.l.;. a la"cl,. lt-'/lor,l,t. wl rtlttyi(p"g7ii2_ R 1 o tl l0 o,l ol >l 11 R (P'4\ : s$t h SG.J ) : Lor a h, r,lgoc A.q""n a:: l4.l; 6; L 10 lo lo Lrj l. s,". bo l; LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

81 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM k s ( AcF,rc hig t^, SB FF 4^Pvr ) a &,l rk to,l 10 o0 L{,'/<_ t2 5A QC C on,4. )o 2\ lr ",r.- 0 orr,tt' a q (s"qhi ) ldlpannts ot, c1 s-r L"l.L (1,'t"^Jel) uz*i"* s- Q - l- '<r.,h. - -, -ta 4t- t-f 4 o o O 5,< XX 1 00,l o\ 10 l1{ ras4 s.t. LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

82 @"t1,') (.orp r lonmr; FF LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM D L"t.J, ( na-."jal, ) ox,t o 41 Lo1'"1<- 53 e Ka^/fA Tert:pLeMe (etfe t "''\/- c s eflo _J.L o -i-1 q e t rj( (.'t --D.- ;, [ '4r -J_Loo -J1z- 4 -.% 1o e"g o1 to -{b <. sr sq- --{s--a}- -A}- -4";lqT- + iol t-k Fli FhP brllo"'.^ f l'p f t", ha cftz- oo o\ lo l'l QA &Q. 1o \.{o ryo J4i'r,-9ol^,<t c-lsc-l hssl" LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

83 -T F/tp-FloP LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM r3 a []a4;r;-yr{ uuj O? s FF ^ )'.D Qq E-r 9s94- ^ ee ) 5 -K T ' ^ cf ----) DFF * c? " rl L JptF ',.., 7 to D 5- F. FT,-F -T rr i N -) T-F (o G LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

84 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM A sc^ L." L!,'L- s4 CLA c cr. P?6 CA P.r-v-f * \* C,'lg, g,',,i lnn' s";fifjls' A"- - ug&i ft\ rkl d a K4^,. l4h llla_,lj d.j:/l,.l/, =l l- - tl cvl' EiLe-erc,ni1);;it}r.E *\ q. a P9t aj+ -n T-1 _J1 5R A 5t /,tel( p atl p..a4 ourylr 5r4b4/ OO a4 l0 c Rt o A 4.'' h d^h*m,-. --rlg :1 R ri-s LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM -*_)

85 @atju' -fi,r ston.) :ugdaj T-11 Ftr. LojiL LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM tji -L1- o o lq" S, No clsz s-t.[ 14 Q"Qo fogjtc.- Prj-l- pl (AA"#u-sh"z) [ rp ---l" r"-r -1fQ -- '--.dc O L - \,_.ral_ r-/ t-1 -!r '-.J L- L- JJ_ -7 ol D,.54 S?+ LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

86 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

87 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

88 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

89 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM 'bp L.j:L s( y3 ct\ Qr Q? {rs 6 r rlq O olqo o,lq oll r rld; a A'-" LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

90 ' (bu\ ^9" LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM L.j"h--Etfc tt) h G.4q Qu O3 o\ QE o! Ol lo ll 'lyw{ffl*) LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

91 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ) JAYCLA( L- As ",.,L-,'o.. S-r1, (lipple C-"'f.'\ 2-5 "... Lzo"r S q3"rcrlar (P",",U c.**-) i L"j,'L sv A s"nl" - n Srj,.-^lo.\ Herbi. FF' 2'y" b5l.- J^ & 2'.1. r4!c^ 2" =-il" *> 2", i\ --> r c K Qt n:{ n=- 6 ' Ftr s nj,s, 39,-- tn 'r=f, 3i)n:b;fru Lc.qr^ +".l, t nr,t-!r. +3 t..* \ \.+ o,1 1 3 a, ol lo tl AO D es,",a \ o ( J 3 0 CP a\ 3 B,'/1,'l- B iaa.7 nasal-n O,,1" i''r' g.u'ill1l*{l'ri )"'r,.,. cf 'l a tqt3 3 \ tn+g, 'rhl+ 4lQ.Q, 0o o oo l. O 0t l0x to rlt ll o T L 3 T v qt q3 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

92 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

93 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

94 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

95 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

96 Bz[''. /'' 8,7 be5 c'.- kat/ar 5.y otl, *,".'t, 14 Loj;L 58 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM ;^ >( ({ ) \-/ )<- cr- d 1Qe Qt Q' 40 t0 a-41,,l t' e. L"J". E g"u' o-'t4olsogll Qq Qr 11 1o u ---- Qz-" cp qzr'ryc-.j'tj/cl \9- Qg \*,.1 al i,!'0''*r 1"1ot4 4'l oo ti0 a0 4,'*'i O l: 1 t0,0i, 0l,.r tar 4 tur! t*\ 3i 0 \l a ri, 6!l vlt o\,,.toi 0 orl o / Dl 0 t,10 Qr.Q, o OO t O, o0i o4ji.4r, 7' 2 o o\ Qt Qr LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

97 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

98 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM o dl,ni ' 1, k^ 3-t' Ss^lE^ sa7t( t 13 ' '* l"-^ f 9zr! *a'xen tqld' c, 0 'Jat n ( S /o ih-r,' v'7a,9*' ' t '' >:7' c 7 4l' ilu'i *ag * $e+f,'tl, o,r& LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM

99 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

100 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

101 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM Q0 (L S B) Q1 Q2 Q3 (M S B) HGH J S Q J S Q J S Q J S Q + V CLK C FF0 K Q R C FF1 K Q R C FF2 K Q R C FF3 K Q R R C Q0 (L S B) Q1 Q2 Q3 (M S B) HGH J S Q J S Q J S Q J S Q + V CLK C FF0 K Q R C FF1 K Q R C FF2 K Q R C FF3 K Q R R C

102 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM Q0(L S B) Q1 Q2 Q3 (M S B) HGH J S Q J S Q J S Q J S Q + V CLK K C FF0 Q R C FF1 K Q R C FF2 K Q R C FF3 K Q R R C Q0(L S B) Q1 Q2 Q3 (M S B) HGH J S Q J S Q J S Q J S Q + V CLK K C FF0 Q R K C FF1 Q R C FF2 K Q R C FF3 K Q R R C

103 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM + V R RESET C HGH Q0(L S B) Q1 Q2 Q3 (M S B) J S Q J S Q J S Q J S Q + V CLK C FF0 K Q R C FF1 K Q R C FF2 K Q R C FF3 K Q R R SETUP + V R RESET C HGH Q0(L S B) Q1 Q2 Q3 (M S B) J S Q J S Q J S Q J S Q + V CLK C FF0 K Q R C FF1 K Q R C FF2 K Q R C FF3 K Q R R SETUP

104 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM + V R RESET C HGH Q0(L S B) Q1 Q2 Q3 (M S B) J S Q J S Q J S Q J S Q + V CLK C FF0 K Q R C FF1 K Q R C FF2 K Q R C FF3 K Q R R SETUP

105 LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM

106 t'let'; - Ca.'.-; Ya"ot gv* flt".t/<,oa Scgtct Loj LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 Doç. Dr.Murat UZAM s7 &"lol Ko " /-rt k-o ^h'o :4 --> = o ---5 ";: Ss's'^e vovleul i;e," o- 4< 3 't,t '=---l b -u \--' a bl,- -;df o AEP je;l? ' -P.! ^/KA o V saitltear u, yt^ s'ff':,"- o '' Lr's n Jol,!, "t{rr-,2.u' "nlc!a,vaflonal. ly", "" Ja OD o4 4o 41 t qo O ---> o o->,l 4 ---s 1 --> O 1 ;.,tx x'l xo LOJİK DEVRELER DERSİ --- DERS NOTLAR KSM 1 / Doç. Dr. Murat UZAM