Consider the T flip-flop counter following the sequence 0-2-3-1-0
Consider the T flip-flop counter following the sequence 0-2-3-1-0 as shown below.
Which of the following statements is/are true?
A. The logic gate is XNOR and the input X is Q<sub style="">1</sub> ⊕ Q<sub style="">2</sub>
B. The logic gate is XOR and the input X is <span class="math-tex">\(\overline {{Q_1}}\odot \;{Q_2}\)</span>
C. The logic gate is XNOR and the input X is <span class="math-tex">\(\overline {{Q_1}}\odot \;{Q_2}\)</span>
D. The logic gate is XOR and the input X is Q<sub style="">1</sub> ⊕ Q<sub style="">2</sub>
Please scroll down to see the correct answer and solution guide.
Right Answer is:
SOLUTION
For a T flip flop with clock = 1,
the output toggles if T = 1 and the output holds the previous state if T = 0.
Logic gate output = T2
∴ Logic gate will be XNOR
X = T1
∴ X = Q1 ⊕ Q2
\( = \overline {{Q_1}} {Q_2} + \overline {{Q_2}} {Q_1}\)
X = \(\overline {{Q_1}}\odot \;Q2\)
= \(\overline{\overline {{Q_1}}} \;\overline {{Q_2}} + {Q_2}\overline {{Q_1}} \)
= \({Q_1}\overline {{Q_2}} + {Q_2}\overline {{Q_1}} \)
= Q2 ⊕ Q1
= Q1 ⊕ Q2
