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How to express negative numbers in binary

Nov 23, 2023 pm 04:11 PM
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Negative numbers are represented by two's complement in computers, that is, negative numbers are represented by the two's complement of positive numbers.

How to express negative numbers in binary

#The binary representation of negative numbers depends on the computer system or programming language used. Generally speaking, negative numbers are represented in computers using complement codes, that is, negative numbers are represented by the two's complement of positive numbers.

Complementary notation is to invert the binary representation of a number and then add 1. For example, the binary representation of -5 is 101 (binary). After inversion, we get 010, and adding 1 to get 011. That is, -5 is represented as 1111 1011 in two's complement in the computer.

In most computer systems, negative numbers are stored and operated using two's complement representation. The advantage of this is that the computer's internal circuits can directly add and subtract complements without requiring additional processing logic.

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