Digital Logic
Boolean Algebra
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Combinational Circuits
Marks 1Marks 2
Number Systems
Marks 1Marks 2
Sequential Circuits
Marks 1Marks 2Marks 5
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
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization