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GATE 2023 Digital Circuits Evaluation Quiz 9

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Question 1

If (199)12 + (199)11 = (N)5, Then the value of ‘N’ is __________.

Question 2

The minimum number of NOR gates required to implement is equal to __________.

Question 3

Let the function f given as f(A, B, C, D) = Σm(0, 1, 3, 5, 6, 10, 11, 14, 15). Find the number of reduced prime implicants?

Question 4

The minimum number of two input NAND gates required to implement the following Boolean function  with all variables available in uncomplimented form only are?

Question 5

Consider the Logic circuit given below which uses a 3 to 8 decoder with active low outputs.

If the boolean function F3 can be expressed as F3 (A, B, C) = ∑m (0, 1, 2, 3, 6, 7). Then the appropriate Logic gate G1 is _____.

Question 6

For the given state diagram, Q is the output. The logic gate is:

Question 7

For the ring counter shown in below, find the steady state sequence if the initial state of the counters is 1110 (i.e., Q3, Q2, Q1, Q0 =1110). Determine the MOD number of the counter.

Question 8

For the figure shown, the expression for the output S and next state Qn+1 is:

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