overflow
GATE CSE & IT · Number Representation · 2002-2026
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Rosen — Discrete Mathematics and Its Applications
Discrete structures, counting, relations, graph theory
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All concepts →Consider the 8-bit signed integers $X, Y$ and $Z$ represented using the sign-magnitude form. The binary representations of $X$ and $Y$ are as follows: $$ X: 10110100 \quad Y: 01001...
In a system, numbers are represented using 4-bit two's complement form. Consider four numbers $N 1=1011, N 2=1101, N 3=1010$ and $N 4=1001$ in the system. Which of the following op...
Consider a system that uses 5 bits for representing signed integers in 2's complement format. In this system, two integers A and B are represented as A=01010 and B=11010. Which one...
Consider a system that uses 5 bits for representing signed integers in 2’s complement format. In this system, two integers A and B are represented as A =01010 and B =11010. Which o...
Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1 + R2, which one of the following values of R1 and R2 gives an arithmetic overfl...
Consider Z = X - Y, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z would require a minimum of :
In $$2’s$$ complement addition, the overflow