2s-complement
GATE CSE & IT · Number Representation · 2000-2025
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Rosen — Discrete Mathematics and Its Applications
Discrete structures, counting, relations, graph theory
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All concepts →The number -6 can be represented as 1010 in 4-bit 2's complement representation. Which of the following is/are CORRECT 2's complement representation(s) of $-6$ ?
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...
In 16-bit 2's complement representation, the decimal number -28 is :
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 representati...
The $$16$$-bit $$2’s$$ complement representation of an integer is $$1111$$ $$1111$$ $$1111$$ $$0101;$$ its decimal representation is ____________.
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 o...
The smallest integer that can be represented by an $$8$$-bit number in $$2's$$ complement form is
$$P$$ is a $$16$$-bit signed integer. The $$2's$$ complement representtation of $$P$$ is $${\left( {F87B} \right)_{16}}$$ . The $$2's$$ complement representation of $$8{}^ * \,P$$...
Let $$A=1111$$ $$1010$$ and $$B=0000$$ $$1010$$ be two $$8$$-bit $$2's$$ complement numbers. Their product in $$2's$$ complement is
Assuming all numbers are in $$2's$$ complement representation, which of the following numbers is divisible by $$11111011?$$
In $$2’s$$ complement addition, the overflow
The $$2's$$ compliment representation of the decimal value $$-15$$ is
The $$2's$$ complement representation of $${\left( { - 539} \right)_{10}}$$ in hexadecimal is
The number $$43$$ in $$2's$$ complement representation is