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1 esign ogic L 3 C3 age P 4 6 ni U -7 Circu equenial Asnchronous nchronous esign. 7 I YNCHRONOU EUEN L NEWOR A efi ion eernal presen sae presen funcion are oupus he neworks, sequenial In pus eg circui. hor pas or saes as called simpl sae Presen pus. sae ne deermes circui sequenial for sae resen p. neworks f o Nework equenial odel M Nework equenial pes. Nework equenial snchronous A changes on depends circui changes no sae memor change he Bu sae. presen on dependg npus i given a pu. on dependg bu ime nsan i. Nework equenial nchronous presen sae presen on depends Oupu memor o required. sequence img o ime. san given a a pus san given a changes he sore llowed o a. me i. 7 Circui equenial Clocked nchronous Operaion rucure san specific a defed behavior nework he circui, sequenial snchronous In h FFs all o common which clock maser re img. special wih associaed ime f o a sequenial snchronous clocked as called are circu uch elemen. memor used ircui. c lock C durg edge negaive one edge posiive one waveform wih periodic Clock ach period. e Combaional Circui ogic L emor M upus O npus i P N gechsudenszone.wordpress.com HABANA HAIH
2 HABANA HAIH L ogic esign C33 h clock used for new ork snchronizaion 7.3 B asic Operaion Clocked nchronous equenial Circui i ndicaes all presen sae FF. + i ndicaes ne sae FF nework. X i ndicaes all eernal pus. + = f(,) h ne sae o f nework. i ndicaes oupu signal sequenial neworks. = g(x,) + ve edge - v e edge he srucure shown given figure called as M eal Model or Meal Mache. gechsudenszone.wordpress.com 65
3 HABANA HAIH L ogic esign C33 ifference beween Meal Model Moore Model nchronous equenial Circui M eal Model In Meal Model he ne sae funcion eernal pus presen sae. oupu also funcion eernal pus presen sae. memor sae changes w ih maser clock. + = f(x,) = g(x,) Moore Model I n Moore Model he ne sae funcion eernal pus presen sae. Bu he oupu funcion presen sae. I no dependen on eernal pus. n o. FFs required o implemen circui more compared wih Meal Model, + = f(x,) = g() L ogic iagram for Meal Nework gechsudenszone.wordpress.com 66
4 HABANA HAIH L ogic esign C ransiion Equaions o conver eciaion epression o characeric equaions flip- f lops. L ogic iagram for Moore Nework ne sae epression, he characeric equaions FF depends on pes FF used. E F or FF + = F or FF For FF + = B subsiug he eciaion epressions for a lg ebraic descripion ne sae FF obaed. he a FF o i necessar characeric o use equaion, epression for ne sae erms FF pus are referred as ransiion equaions. gechsudenszone.wordpress.com he an 67
5 esign ogic L 3 C3 age P = + = nework Moore or F s ne ge we & pus values he subsiug B sae presen FF erms ae pu. ernal e ransiion ables nework, sequenial oupus sae ne for equaions algebraic usg Insead form. abular formaion he epress o useful convenien more i he ransiion e bl a r o e abl ransiion ae r o e abl ae f o represenaion abular he eernal ae, Ne ae, Presen cons able h equaions. oupu ransiion he prese are rows n hen variables sae n are here If variables. oupu npus i sae n able. noaions mache ae pus. as mache sequenial o variables pu Eernal Variables npu I oupu are mache sequenial he from ei ha variables All Variables Oupu ariables. v s i mache sequenial ae ae when memor, conen he b defed FFs. usg b realized emor m f o san given for FF conen i.e. variable sae all saus ae Presen sae. presen called as ime s Ne called as + a memor sae ae e N. ae s variable sae represenaion graphical diagram ae iagram ae wih lives b represened saes wo beween connecion circle. b represened relaed oupus. pu eciaion he also dicaes rrows a A Variables upu O oupu are mache sequenial he from ei ha variables ll ariables. v gechsudenszone.wordpress.com HABANA HAIH
6 HABANA HAIH L ogic esign C33 / A B / ae diagram - FF ae diagram R FF ae diagram FF A pplicaion able P N F F pu + X X X X P N F F i/ p + R X X P N + F F A pplicaion able F F F F i/ p i/ p gechsudenszone.wordpress.com 69
7 HABANA HAIH L ogic esign C33 ae diagram FF ransiion able for Meal Nework ransiion able for Moore Nework P () N e ae (++) I npus () Oupu ( ) P N + F F i/ p i/ p,, gechsudenszone.wordpress.com 7
8 HABANA HAIH L ogic esign C33,,,,, nchronous equenial Circui ae ables ae able cons P, N oupu secion. P N sae ables are obaed b replacg he bar code for each he ransiion able b newl defed s mbol. oupu secion idenical o oupu secion ransiion a ble. mbols for sae can be,, 3, n or A, B, C,, E. ae able for Meal Mache P,,, = N = = O /p = A C B B C C A A A gechsudenszone.wordpress.com 7
9 esign ogic L 3 C3 age P 7 iagram ae repres graphical I labeled b represened nework sae Each ables. sae enaion ode. n direced saes. beween ransiion dicae o nodes he connec branches ireced ran permi ha variable pu eernal values he o accordg labeled are ranches b siion. Nework Moore case In diagram. sae enered also nework sequenial oupu wrien. no oupu for pu values he diagram, ae s Meal Nework diagram for ae Nework Moore diagram for ae gechsudenszone.wordpress.com HABANA HAIH
10 HABANA HAIH L ogic esign C33 N ework ermal Behavior h he ime response a nework o a sequence pus. L ogic diagram b racg signals. h can be done from he F or given eample Meal Nework, A ssume FFs are sae i iall, o =. I npu equence Now based on pu, he sae FF oupu changes also correspondg nework oupu c hanges. I npu sequence = ae sequence = ACCABABAB O upu equence = img diagram for Moore Nework A B C gechsudenszone.wordpress.com 73
11 esign ogic L 3 C3 age P 4 7 Circui nchronous nals A pu funcion oupu he Nework Meal figure above circui given circu above anals FF. P ariable v follows. as i Funcion Eciaion Oupu he obaed FF sae ne he equaion, characeric pus FF he subsiug B pu. FF eernal P erms FF equaion characeric he Eciaion able he P ) ( pu ciaion E =, =, upu O = =,,,,,,,,, z When z When gechsudenszone.wordpress.com HABANA HAIH
12 HABANA HAIH L ogic esign C33 ae able ( ) P ( ) N = = O /p s ae + + s ae + + s ae X = X = A A C B A C C B B + + = = = ae iagram Meal Nework if if,, z z gechsudenszone.wordpress.com 75
13 HABANA HAIH L ogic esign C33 / / / A C / / / / / B A, B, C, are P resen saes. gechsudenszone.wordpress.com 76
14 HABANA HAIH L ogic esign C33 A nals Moore Nework if if ae ab le / ransiion able P,,, & & N = = ae + + ae + + s ae O /p A A B B A C A A C A + = + = = + gechsudenszone.wordpress.com if if,, & & 77
15 HABANA HAIH L ogic esign C33 ae iagram Moore Nework Anals equenial Nework ae able A P B A A C A B, B, B B A A B N = = O /p s ae A+ B+ s ae A+ B+ s ae = = 3 B A, B, C, are Presen s aes. gechsudenszone.wordpress.com 78
16 HABANA HAIH L ogic esign C33 3 / / / / / 3 / / /,,, 3 are Presen s aes. gechsudenszone.wordpress.com 79
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