Question

ECE 260 HW 7 NAME 1. A sequential circuit has two JK flip-flops A and B, two inputs X and Y, and one output Z. The flip-flop input equations and circuit output equation are: (a) Draw the sequential circuit (b) Derive the state equations for Q and Q (c) Construct the state/output table (d) Draw the state diagram Note, for JK flip-flop: Q1O+KQ Design a sequential circuit with two JK flip-flops A and B and two inputs E and F. If E = 0, the circuit remains in the same state regardless of the value of F. When E-1 and F = 1, the circuit goes through the state transitions from 00 to 01, to 10, to 11, back to 00, and repeats. When E 1 and F o, the circuit goes through the state transitions from 00 to 11, to 10, to 01, back to 00 and repeats. 2. 3. Design a sequential circuit with two D flip-flops A and B and one input X. When x o, the state of the circuit remains the same. When X 1, the circuit goes through the state transitions from 00, to 11, to 01, to 10, back to 00, and repeats

Answer 1

1(a)

(c)

Q^+_A = Q_A Q_B Y + Q_A X + Q_A Y + Q_B X Q^+_B = Q_A XY + Q_A Q_B X Z = Q_B XY + Q_A XY

PRESENT STATE		INPUT		NEXT STATE		OUTPUT
QA	QB	X	Y	QA+	QB+	Z
0	0	0	0	1	0	0
0	0	0	1	0	0	0
0	0	1	0	1	1	0
0	0	1	1	0	1	0
0	1	0	0	0	1	1
0	1	0	1	0	1	0
0	1	1	0	1	0	0
0	1	1	1	1	1	0
1	0	0	0	1	0	1
1	0	0	1	1	0	0
1	0	1	0	0	0	0
1	0	1	1	1	0	0
1	1	0	0	1	0	1
1	1	0	1	1	0	0
1	1	1	0	1	0	0
1	1	1	1	1	0	0

(b)

(d)