GATE EC || DIGITAL LOGIC || NUMBER SYSTEM || PYQ (2000-25)

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Question 1

The 2’s complement of–17 is:


(GATE 2001 || EC || MCQ || 1 MARK)

  • 101110

  • 110001

  • 111110

  • 101111

Question 2

The 4-bit 2’s complement representation of a decimal number is 1000. The number is:

(GATE 2002 || EC || MCQ || 1 MARK)

  • +8

  • 0

  • -7

  • -8

Question 3

The range of signed decimal numbers that can be represented by a 6-bit 1’s complement number is:

(GATE 2004 || EC || MCQ || 1 MARK)

  • -31 to +31

  • -63 to +63

  • -64 to +63

  • -32 to +31

Question 4

X = 01110 and Y = 11001 are two 5-bit binary numbers represented in 2’s complement format. The sum of X and Y represented in 2’s complement format using 6 bits is:

(GATE 2007 || EC || MCQ ||1 MARK)

  • 100111

  • 001000

  • 000111

  • 101001

Question 5

11001, 1001 and 111001 are 2’s complement representations of which of the following sets of numbers?

(GATE 2004 || EC || MCQ || 1 MARK)

  • 25, 9 and 57 respectively

  • -6, -6 and -6 respectively

  • -7, -7 and -7 respectively

  • -25, -9 and -57 respectively

Question 6

For the logic circuit shown in the figure, the required input conditions (A, B, C) to make the output X = 1 are:

Screenshot-2025-09-19-125315


(GATE 2000 || EC || MCQ || 1 MARK)

  • 1, 0, 1

  • 0, 0, 1

  • 1, 1, 1

  • 0, 1, 1

There are 6 questions to complete.

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