Solved Examples on Conversion of Flip-Flops

Here, we are going to discuss some examples based on the concept, we have studied in our last article named conversion of flip-flops.
Submitted by Saurabh Gupta, on February 03, 2021

Prerequisite: Conversion of flip-flops

Example 1: Conversion of SR flip-flop to D flip-flop

Solution:

Step 1: Truth Table of the required flip-flop (D flip-flop) is given as:

Conversion of Flip-Flops | Examples (1)

Step 2: Using the excitation of given SR flip-flop, find the SR values, and complete the conversion table as:

Conversion of Flip-Flops | Examples (2)

Step 3: Solving K-Map for S and R values separately to get the Boolean expression.

Conversion of Flip-Flops | Examples (3)

Step 4: Making the logic circuit to implement the Combinational circuit using obtained Boolean expressions from K-Map.

Conversion of Flip-Flops | Examples (4)

Example 2: Conversion of D flip-flop to T flip-flop

Solution:

Step 1: Truth Table of the required flip-flop (T flip-flop) is given as:

Conversion of Flip-Flops | Examples (5)

Step 2: Using the excitation of a given D flip-flop, find the D values, and complete the conversion table as:

Conversion of Flip-Flops | Examples (6)

Step 3: Solving K-Map for D value to get the Boolean expression.

Conversion of Flip-Flops | Examples (7)

Step 4: Making the logic circuit to implement the Combinational circuit using obtained Boolean expressions from K-Map.

Conversion of Flip-Flops | Examples (8)

Example 3: Conversion of JK flip-flop to SR flip-flop

Solution:

Step 1: Truth Table of the required flip-flop (SR flip-flop) is given as:

Conversion of Flip-Flops | Examples (9)

Step 2: Using the excitation of given JK flip-flop, find the J and K values and complete the conversion table as:

Conversion of Flip-Flops | Examples (10)

Step 3: Solving K-Map for J and K values separately to get the Boolean expression.

Conversion of Flip-Flops | Examples (11)

Step 4: Making the logic circuit to implement the Combinational circuit using obtained Boolean expressions from K-Map.

Conversion of Flip-Flops | Examples (12)





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