Number System GATE Previous Years Questions Solved

Ques 1: Consider the equation (43)x = (y3)8 where x and y are unknown. The number of possible solutions is ________. GATE 2015 Set 3 Ans: 5 Solution: 4x+3=8y+3 4x=8y x=2y Also 4<x i.e x>4 y<8 So possible combinations are: x=6, y=3 x=8,y=4 x=10,y=5 x=12,y=6 x=14,y=7 So total 5 possibilities Ques 2: The 16-bit 2’s complement representation …

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