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# GATE CS 2022: Digital Logic-2

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Question 1

Consider the function :

Find the value of F[F[A+B,B],C]

Question 2

A three bit pseudo random number generator is shown in the figure. Initially the value of output y = y

_{2}y_{1}y_{0}is set to 111. The value of output y after three clock cycles isQuestion 3

If (2.3)

_{base 4}+ (1.2)_{base 4}= (y)_{base 4}; what is the value of y.Question 4

What is the output of the flip-flop in KHz shown in the figure, if the clock frequency is 4KHz?

Question 5

Consider the following circuit

The minimum number of NAND gate (having 2 fan-in) require to implement the same circuit is___. Assume complements of each variable are already available.

Question 6

Consider the following synchronous counter made up of JK, D and T Flip-Flops.

The modulus value of the counter is ____________

The modulus value of the counter is ____________

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Jul 17GATE & PSU CS

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