Problem

Solutions For Digital Design Chapter 5 Problem 8P

Step-by-Step Solution

Solution 1

Refer to the sequential circuit in Figure P5.8 in the textbook.

Draw the circuit for a flip-flop.

Picture 2

If the input is high, then the flip-flop changes its state (“toggles”) whenever the clock input is strobed. If the input is low, the flip-flop holds the previous state.

flipflop operation is illustrated as follows:

Picture 8

Write the characteristic equation.

From the Figure P5.8 in the textbook, write the Boolean expressions for and .

Use flip flop input equations, Construct the excitation table for the circuit.

Picture 5

Recall the Table 2 by ignoring the flip flop inputs.

Picture 7

Draw the state diagram by observing present state and next state in table 2.

Picture 6

Thus, state table and state diagram has been implemented for the sequential circuit.

From Table 2, it is seen that the counter counts and . Therefore, the circuit acts as a mod 2 counter.

Here, the state 11 is unused state. If the circuit enters the unused state, the circuit gets reset that is .

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