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Consider a combination of T and D flip-flops connected as shown below. The output of the D flip-flop is connected to the T flip-flop and the output of the T flip-flop is connected to the input of the D flip-flop. Initially, both Q0 and Q1 are set to 1 (before the 1st clock cycle). The outputs

Consider a combination of T and D flip-flops connected as shown below. The output of the D flip-flop is connected to the T flip-flop and the output of the T flip-flop is connected to the input of the D flip-flop. Initially, both Q0 and Q1 are set to 1 (before the 1st clock cycle). The outputs Correct Answer Q<sub>1 </sub>Q<sub>0</sub> after the 3<sup>rd</sup> cycle are 11 and after the 4<sup>th</sup> cycle are 01 respectively

Output of one flip- flop becomes the input of another flip- flop. Two flip flops are given T and D flip flop. We can solve it using the characteristic equation of D and T flip flop and then calculate the next states Q1N and Q0N.

Explanation:

Here, T flip flop output is denoted by Q1 and D flip flop output by Q0.

Output of D flip flop i.e. Q0 is coming at the T flip flop and Q1 is going to D flip flop as input.

So, Q1N = Q1 EXOR T = Q1 EXOR Q0

       Q0N = D = Q1

Initially, Q0 = Q1 = 1

Next State Table:

Clock Cycle

Q1

Q0

Q1N

Q0N

1

1

1

0

1

2

0

1

1

0

3

1

0

1

1

4

1

1

0

1

 

So, Q1Q0 after 3rd clock cycle is 11 and Q1Q0 after 4th clock cycle is 01.

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