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GATE CS 2018 - Digital Logic Quiz-1 ( Number Systems)

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Question 1

Consider the equation with x and y as unknown. The number of possible solutions is ____

Question 2

Consider the equation (43)_x = (y3)₈ where X and Y are unknown. The number of possible solutions is___________

Question 3

Let X be the number of distinct 16-bit integers in 2’s complement representation. Let Y be the number of distinct 16-bit integers in sign magnitude representation.
Then X − Y is _____.

Question 4

If 73_x (in base-x number system) is equal to 54_y (in base y-number system), the possible values of x and y are

Question 5

Let A = 1111 1010 and B = 0000 1010 be two 8-bit 2’s complement numbers.
Their product in 2’s complement is

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GATE & PSU CS Digital Logic

Apr 16GATE & PSU CS