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GATE CS Number Representations (Fixed and Floating Point) questions

Practise Number Representations (Fixed and Floating Point) questions for GATE CS. Explore official PYQs and original topic-wise quizzes, check answers and view available solutions. Free, no sign-in.

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Official PYQ1997Digital LogicNumber Representations (Fixed and Floating Point)MCQ · 1 mark
Given (224)r=(13)r\sqrt{(224)_r} =(13)_r. The value of the radix rr is:
Official PYQ1996Digital LogicNumber Representations (Fixed and Floating Point)MCQ · 1 mark
Consider the following floating-point number representation. ExponentMantissa3124230\overset{31 \quad \qquad 24 \quad 23 \qquad\quad 0} {\begin{array}{|l|l|}\hline \text{Exponent} & \text{Mantissa} \\ \hline \end{array}} The exponent is in 2’s2’s complement representation and the mantissa is in the sign-magnitude representation. The range of the magnitude of the …
Official PYQ1995Digital LogicNumber Representations (Fixed and Floating Point)MCQ · 1 mark
The number of 11's in the binary representation of (3∗4096+15∗256+5∗16+3)(3\ast4096 + 15\ast256 + 5\ast16 + 3) are:
Official PYQ1991Digital LogicNumber Representations (Fixed and Floating Point)NAT · 1 mark
Consider the number given by the decimal expression: 163∗9+162∗7+16∗5+316^3*9 + 16^2*7 + 16*5+3 The number of 1’s1’s in the unsigned binary representation of the number is ______
Official PYQ1988Digital LogicNumber Representations (Fixed and Floating Point)NAT · 1 mark
Define the value of rr in the following: (41)r=(7)10\sqrt {(41)_{r}} = (7)_{10}
Official PYQ1987Digital LogicNumber Representations (Fixed and Floating Point)MCQ · 1 mark
The exponent of a floating-point number is represented in excess-N\text{N} code so that: