1
GATE CSE 2021 Set 1
+2
-0.67

Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the data bits and the check bits are given in the following tables:

 Data bits d8 d7 d6 d5 d4 d3 d2 d1 1 1 0 x 0 1 0 1

 c8 c4 c2 c1 Y 0 1 0

Which one of the following choices gives the correct values of x and y?
A
x is 1 and y is 0.
B
x is 1 and y is 1.
C
x is 0 and y is 1.
D
x is 0 and y is 0.
2
GATE CSE 2021 Set 1
+2
-0.67
Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
A
21
B
528
C
D2
D
15
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 ______

4
GATE CSE 2020
+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?
A
0x40800000
B
0x40800000
C
0xC8500000
D
0xC0800000
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
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