1
GATE CSE 2019
+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
2
GATE CSE 2019
+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 2016 Set 2
Numerical
+1
-0
Consider an eight-bit ripple-carry adder for computing the sum of $$A$$ and $$B,$$ where $$A$$ and $$B$$ are integers represented in $$2’s$$ complement form. If the decimal value of $$A$$ is one, the decimal value of $$B$$ that leads to the longest latency for the sum to stabilize is __________ .
4
GATE CSE 2016 Set 2
Numerical
+1
-0
Let $$X$$ be the number of distinct $$16$$-bit integers in $$2’s$$ complement representation. Let $$Y$$ be the number of distinct $$16$$-bit integers in sign magnitude representation.
Then $$X −Y$$ is ____________.