DLD Lecture 1

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A\l:A AGlAkUl0l1AL L00lC UL3l0NlN1R0UuC1l0NCourse 0bjeotiveO Io iua:t t|o:ou-| u:cc:sta:ci:- oi Di-ital ouutc: a:c l:io:uatio:. ou|i:atio:al lo-ic i:cuits. ou|i:atio:al lo-ic Dcsi-:. cquc:tial i:cuits. kc-istc:s. ou:tc:s a:c \cuo:v l:o-:auua|lc lo-ic Dcviccs. Course ContentWIIK cGuRsI 1GPIcs l:t:ocuctio:. li:a:v vstcus! li:a:v vstcus. loolca: Al-c|:a a:c lo-ic Gatcs! loolca: Al-c|:a a:c lo-ic Gatcs+ iuliiicatio: oi loolca: lu:ctio:s. iuliiicatio: oi loolca: lu:ctio:so ou|i:atio:al lo-ic ou|i:atio:al lo-ic \ictc:u lxau9 ou|i:atio:al lo-ic wit| \l a:c ll ou|i:atio:al lo-ic wit| \l a:c ll cquc:tial lo-ic! cquc:tial lo-ic! cquc:tial lo-ic wit| \l+ cquc:tial lo-ic wit| \l. l:csc:tatio:so li:al lxauooksO Di-ital lo-ic a:c ouutc: Dcsi-: |v \. \o::is \a:o. l:c:ticc lall l:tc::atio:al lcitio:.O Di-ital lu:cauc:tals |v llovc. ci-|t| ccitio:.Course ProblemsO latc |oucwo:| c:altv c: cav u to uaxiuuu oi ! cavs :aitc: t|at loucwo:| will :ot |c accctccO Guicc to coulcti:- assi-:uc:tsO studying together in groups is encouragedO Discussion (oniyjO Work submitted must be your ovnCourse PhilosophvO "uizzcs O Assi-:uc:ts O cucstc: l:ojcct O \ictc:u !O li:al lac: .hat are mv expeotations?O stay Positive and Injoy. Commitment: Regular study and homework submission:... ).o o ..o1 /..| . |o. o /... o-1..o-1.-o . /..o..l:IkDuIl: l:IkDuIl:Uieital 3vstems Di-ital vstcus cxist cvc:vw|c:c ouuu:icatio:. |a:|s. |ositals. l:tc::ct ctc. ouutc:s a:c ci-ital svstcus l:o-:auua|lc. ilcxi|lcUieital RevolutionO Di-ital svstcus sta:tcc |ac| i: 9+s.O Di-ital svstcus covc: all a:cas oi liic.O still ictu:csO ci-ital viccoO ci-ital aucioO tclc|o:cO t:aiiic li-|tsO A:iuatio:Uieital vs. AnaloeAnaIog: vaIues vary over a broad rangecontinuousIyDigitaI: onIy assumes discrete vaIues+5 V 5 T ime +5 V 5 1 0 1 T ime Uieital vs. AnaloeO A:alo- svstcus :occss tiucva:vi:- si-:als t|at ca: ta|c o: a:vvaluc ac:oss a co:ti:uous :a:-c oi volta-cs :i:clcct:icalclcct:o:ics svstcus.O Di-ital svstcus :occss tiucva:vi:- si-:als t|at ca: ta|c o: o:lv o:c oi two cisc:ctc valucs oi volta-cs :i: clcct:icalclcct:o:ics svstcus.O Disc:ctc valucs a:c callcc a:c :: a:c ll. llGl a:c lW.Ikul a:c lAll. ctc.hv is it named 'dieital'?O la:lv couutc:s wc:c uscc uai:lv to c:io:u :uuc:ic couutatio:sO I|cv uscc /8.709000203984131472,943. ci-its O DlGlIAl YIl\. ua:iulatc /8.7090 clcuc:ts oi i:io:uatio: :ii:itc sctsO l.-. t|c ccciual ci-its. t|c !o lcttc:s oi t|c al|a|ct. o+ squa:cs oi c|css |oa:cUieital Computer:uu|c: vstcus :uu|c: vstcus0eneral Radix(ase) RepresentationO decimaI number such as 7392 represents7392 = 7x103+ 3x102+ 9x101+ 2x100O t is practical to write only coefficients and deduce power of 10s from position as followsO a5 a4 a3 a2 a1 a0 a-1 a-2 a-3105a5 + 104a4 + 103a3 + 102a2 + 101a1 + 100a0 + 10-1a-1+ 10-2a-2 + 10-3a-3Contd.O n case of binary numbers , each coefficient aj is multiplied by 2j O For example decimal equivalent of binary number 11010.11 is 26.75Contd.O n general, any radix (base) can be usedO Define coefficients ai in radix rO 0