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Consider three floating points numbers A, B and C stored in registers RA, RB and RC, respectively as per IEEE-754 single...
GATE CSE 2022
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 ...
GATE CSE 2022
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 ov...
GATE CSE 2019
In 16-bit 2's complement representation, the decimal number -28 is :
GATE CSE 2019
Let $$X$$ be the number of distinct $$16$$-bit integers in $$2’s$$ complement representation. Let $$Y$$ be the number of...
GATE CSE 2016 Set 2
Consider an eight-bit ripple-carry adder for computing the sum of $$A$$ and $$B,$$ where $$A$$ and $$B$$ are integers re...
GATE CSE 2016 Set 2
The $$16$$-bit $$2’s$$ complement representation of an integer is $$1111$$ $$1111$$ $$1111$$ $$0101;$$ its decimal repre...
GATE CSE 2016 Set 1
Consider the equation $${\left( {123} \right)_5} = {\left( {x8} \right)_y}$$ with $$x$$ and $$y$$ as unknown. The number...
GATE CSE 2014 Set 2
The base (or radix) of the number system such that the following equation holds is __________ $${{312} \over {20}} = 13.... GATE CSE 2014 Set 1 The smallest integer that can be represented by an$$8$$-bit number in$$2's$$complement form is GATE CSE 2013$$P$$is a$$16$$-bit signed integer. The$$2's$$complement representtation of$$P$$is$${\left( {F87B} \right)_{16}}$... GATE CSE 2010 $${\left( {1217} \right)_8}$$ is equivalent to GATE CSE 2009 $${73_x}$$ (in base $$-$$ $$x$$ number system) is equal to $${54_y}$$ (in base $$-y$$ number system), the possible value... GATE CSE 2004 Assuming all numbers are in $$2's$$ complement representation, which of the following numbers is divisible by $$11111011... GATE CSE 2003 Sign extension is the step in GATE CSE 2002 The$$2's$$compliment representation of the decimal value$$-15$$is GATE CSE 2002 The decimal value$$0.25$$GATE CSE 2002 The number$$43$$in$$2's$$complement representation is GATE CSE 2000 Marks 2 More Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.... GATE CSE 2021 Set 1 Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number? GATE CSE 2021 Set 1 Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the d... GATE CSE 2021 Set 1 Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume tha... GATE CSE 2020 Consider the unsigned$$8$$-bit fixed point binary number representation below$$${b_7}\,\,{b_6}\,\,{b_5}\,\,{b_4}\,\,{...
GATE CSE 2018
Consider the equation $${\left( {43} \right)_x} = {\left( {y3} \right)_8}$$ where $$x$$ and $$y$$ are unknown. The numbe...
GATE CSE 2015 Set 3
Let $$A=1111$$ $$1010$$ and $$B=0000$$ $$1010$$ be two $$8$$-bit $$2's$$ complement numbers. Their product in $$2's$$ co...
GATE CSE 2004
The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is
GATE CSE 2001
Zero has two representations in:
GATE CSE 1999
Given $$\sqrt {\left( {224} \right),} = {\left( {13} \right)_r},$$ The value of the radix' $$r$$ is:
GATE CSE 1997
Consider the number given by the decimal expression. $${16^3} \times 9 + {16^2} \times 7 + 16 \times 5 + 3$$ The number...
GATE CSE 1990

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