Given a four state system with an input \"X\" and output \"Z\" determined by the

Question

Given a four state system with an input "X" and output "Z" determined by the state table below and the state assignments Draw the Design truth Table (Fill in Below) Find the logical expressions for q1 times, q2 times and Z as a function of X.q1 and q2 by placing each one on a k-map and simplifying. We will use 2 JK flip flops to implement the design. Based on the behavioral table of the JK flip flop fill in the Flip Flop Input table Find the logical expressions for J1, K1, J2 and K2 as a function of X.q1,q2 to implement the next states by placing each one a K-map and simplifying. Build the circuit to implement the sequential logic.

Explanation / Answer

a) & b)

X

Q1

Q2

Q1*

Q2*

z

0

0

0

0

0

0

0

0

1

0

1

1

0

1

0

1

0

0

0

1

1

1

1

0

1

0

0

0

0

0

1

0

1

0

1

1

1

1

0

1

0

0

1

1

1

1

1

0

Q1 Q2

00

01

11

10

X

0

1

0

0

0

1

0

0

Optimized expression : x q1

X

Q1

Q2

Q1*

Q2*

z

0

0

0

0

0

0

0

0

1

0

1

1

0

1

0

1

0

0

0

1

1

1

1

0

1

0

0

0

0

0

1

0

1

0

1

1

1

1

0

1

0

0

1

1

1

1

1

0

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