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GATE 2023 Digital logic Rank Booster Quiz 36

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Question 1

The Boolean expression of the logic circuit shown in figure is

Question 2

Consider the following boolean function of four variables,

f (w, x, y,z) = Σ(1, 3, 4, 6, 9, 11, 12, 14], the function is?

Question 3

Minimize the following expression into their minimal form f(A,B,C,D)=∑(1,3,4,5,6,7,9,12,13)

Question 4

With 3 Boolean variables, how many Boolean expressions can be formed.

Question 5

Consider the function f(A, B, C) = M(1, 4, 5, 6). Simplify the function f to a product of two sums.

Question 6

If the value of X + Y = 1, then the value of X ⊕ Y is equal to

Question 7

Consider the minterm list form of a Boolean function F given below:

F(A, B, C, D) = ∑ m(1, 2, 4, 7, 8, 11, 13, 14) where m denotes the minterm.

Find the difference between the prime implicants and the essential prime implicants of the given function F.

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Jan 16GATE & PSU CS