GATE Digital Logic: Number Representation and Arithmetic – Previous Year Questions
11 GATE previous year questions on Number Representation and Arithmetic (Digital Logic, Computer Science) with answers and explanations, from every paper.
- GATE 2017 CS Q17 – The n-bit fixed-point representation of an unsigned real number X uses f bits for the fraction part. Let i = n - f. The range of decimal values for X…
- GATE 2017 CS Q19 – When two 8-bit numbers A 7 A 0 and B 7 B 0 in 2's complement representation (with A 0 and B 0 as the least significant bits) are added using a…
- GATE 2016 CS Q17 – The 16-bit 2's complement representation of an integer is 1111 1111 1111 0101; its decimal representation is .
- GATE 2019 CS Q14 – In 16-bit 2's complement representation, the decimal number -28 is:
- GATE 2019 CS Q18 – Consider Z=X-Y, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z…
- GATE 2025 CS (CS1) Q25 – The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement…
- GATE 2024 CS (CS2) Q49 – Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?
- GATE 2023 CS Q32 – A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is .
- GATE 2022 CS Q18 – Let R1 and R2 be two 4-bit registers that store numbers in 2’s complement form. For the operation R1+R2, which one of the following values of R1 and…
- GATE 2021 CS Q16 – Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
- GATE 2021 CS Q34 – Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127. S: 1 E: 10000001 F:…