1
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d_{8}d_{7}d_{6}d_{5}c_{8}d_{4}d_{3}d_{2}c_{4}d_{1}c_{2}c_{1}, where the data bits and the check bits are given in the following tables:
Data bits |
|||||||
d_{8} |
d_{7} |
d_{6} |
d_{5} |
d_{4} |
d_{3} |
d_{2} |
d_{1} |
1 |
1 |
0 |
x |
0 |
1 |
0 |
1 |
c_{8} |
c_{4} |
c_{2} |
c_{1} |
Y |
0 |
1 |
0 |
Which one of the following choices gives the correct values of x and y?
2
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
3
GATE CSE 2021 Set 1
Numerical
+2
-0.67
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 ____
4
GATE CSE 2020
MCQ (Single Correct Answer)
+2
-0.67
Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively.
If R3 = $${{R1} \over {R2}}$$, what is the value stored in R3?
If R3 = $${{R1} \over {R2}}$$, what is the value stored in R3?
Questions Asked from Number Systems (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages