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Problem 1. Use S-R flip-flops to design a 3-bit counter (C, B, A) with the repeating binary counting sequence: 1, 3, 2, 6, 7,

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The sequence is 1,3,2, 6, 7,5,4, 1,3,2,.. State transition diagram 1 2 Excitation table for SR + On S R O X 0 - 0 о

(a)

Excitation table for counter present state (t) Next state (t+1) Frip-Flop inputs С В B ISRcSB/RB/SARA A A C 0 X Oxto O OXO 0(b)

K-map for sc BA 0 O 0 1 Sea Am (0, 1,3,4) x 10 X X Sc = (€ + B + A) (C+B+A) (C+B+A) (C+B TA) only those sum terms are selecteK-map for RB BA 0 1 10 0 x ! X - RB= TM (1, 2, 3,6) RB= (C++A) (C+B+A) (C+B+A) (C+B tà K-map for SA BA 10 x O XO SA=Tm (2,3,5

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