Whether the given statement is true or false.

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Chapter 11, Problem 8TFQ

To determine

Whether the given statement is true or false.

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Design a counter to count-up from 2 to 7 using three of D Flip Flops (3) 3-Bit Count up (3 to 5) Using D Flip-Flop: The State Equation of D Flip-Flop: Q(t+1)=D(t) => Dn=Qn Present State D Flip-Flop Next State n Q2p Q1p Q0p 3 0 1 1 1 Q2n Q1n Q0n D2 D1 D0 0 0 1 0 0 4 1 0 0 1 0 1 1 0 1 5 1 0 1 0 1 1 01 1 D2-Sum(3,4) and don't care X-Sum(0,1,2,6,7) D1=Sum(5) and don't care X=Sum(0,1,2,6,7) D0=Sum(4,5) and don't care X=Sum(0,1,2,6,7) Using K-map to simplify the functions: D2=Q1+Q0' D1=Q1'QO DO=Q1' XOX XOX Q2 10 Q2 01 Q2 1xx Q0 QO Qo D2 Q2 >CK Q2 D1 Q1 BCD CK Q1 DO QF ►CK Q0 ☐ Present State Next State D Flip-Flop n Q2p Q1p Q0p Q2n Q1n Q0n D2 D1 D0 2 0 1 0 0 1 1 0 1 1 3 0 1 1 1 0 0 1 00 4 1 0 0 1 0 1 1 0 1 5 1 0 1 1 1 0 1 1 0 6 1 1 0 0 1 0 0 1 0 D2 D2=Sum(3,4,5), X=Sum(0,1,7) D1 Q2 1 Q1 1 0 ☑ 0 Qo D2=Q0+Q1' ✗ 0 Q1

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