1
GATE CSE 2021 Set 1
Numerical
+1
-0

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 : 11110000000000000000000

Here S, E and F denote the sign, exponent and fraction components of the floating point representation.

The decimal value corresponding to the above representation (rounded to 2 decimal places) is ______

Your input ____
2
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
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 would require a minimum of :
A
n + 1 bits
B
n – 1 bits
C
n + 2 bits
D
n bits
3
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
In 16-bit 2's complement representation, the decimal number -28 is :
A
1000 0000 1110 0100
B
0000 0000 1110 0100
C
1111 1111 1110 0100
D
1111 1111 0001 1100
4
GATE CSE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.33

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 $X$ in this representation is

A
$2^{-f}$ to $2^i$
B
$2^{-f}$ to $\left(2^i-2^{-f}\right)$
C
0 to $2^i$
D
0 to $\left(2^i-2^{-f}\right)$
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP