1
GATE CSE 2021 Set 2
Numerical
+1
-0
If x and y are two decimal digits and (0.1101)2 = (0.8xy5)10, the decimal value of x + y is ______
Your input ____
2
GATE CSE 2021 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:

sign

exponent

mantissa


Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?
A
exponent = 00000000 and mantissa = 00000000000000000000001
B
exponent = 00000001 and mantissa = 00000000000000000000000
C
exponent = 00000001 and mantissa = 00000000000000000000001
D
​exponent = 00000001 and mantissa = 000000000000000000000001
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 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
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