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hw1_soln_Sp2010

# hw1_soln_Sp2010 - ′ The characteristic equation for the T...

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ECE561: Digital Circuit Design Spring 2010 Homework #1 - Solution Problems: 1. Problem 7.11. 2. Problem 7.18. Excitation equations D1 = Q2 D2 = Q3 D3 = (Q2 + Q1) + (Q3’ ڄ Q2’) State/Output Table Table Current State (CS). Next State Q3 Q2 Q1 Q3* Q2* Q1* 000 100 001 000 010 101 011 001 100 010 101 110 110 111 111 011 State Table Using Symbols (see next page) J K Q Q D S R

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2 c.s. n.s A (000) E B (001) A C (010) F D (011) B E (100) C F (101) G G (110) H H (111) D 3. Problem 7.20 Excitation Equations: EN1 = Y EN2 = X ڄ Y ڄ Q1 Z = X ڄ Q2
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Unformatted text preview: ′ The characteristic equation for the T flip-flop: Q כ = EN ڄ Q ′ + EN ′ ڄ Q Transition equations: Q1 כ = Y ڄ Q1 ′ + Y1 ′ ڄ Q1 Q2 כ = X ′ ڄ Y ڄ Q1 ڄ Q2 ′ +(X+Y ′ +Q1 ′ ) ڄ Q2 State/Output Table XY Q1 Q2 00 01 10 11 00 00, 1 10, 1 00, 0 10, 0 01 01, 0 11, 0 01, 0 11, 0 10 10, 1 01, 1 10, 0 00, 0 11 11, 0 00, 0 11, 0 01, 0 Q1* Q2*, Z State/Output Table Using Symbols XY S 00 01 10 11 A A, 1 C, 1 A, 0 C, 0 B B, 0 D, 0 B, 0 D, 0 C C, 1 B, 1 C, 0 A, 0 D D, 0 A, 0 D, 0 B, 0 S*, Z...
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hw1_soln_Sp2010 - ′ The characteristic equation for the T...

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