1
GATE CSE 2023
+2
-0.67

Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4.

Which one of the following corresponds to the product of these numbers (i.e., P $$\times$$ Q), represented in the IEEE-754 single precision format?

A
0x404C2EF4
B
0x405C2EF4
C
0xC15C2EF4
D
0xC14C2EF4
2
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.
3
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
4
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 ______