Home Common Problem How to calculate the complement of negative numbers

How to calculate the complement of negative numbers

Dec 22, 2023 am 10:41 AM
Negative complement

Calculation method for the complement of a negative number: 1. Find the positive number corresponding to the negative number; 2. Invert the positive number bitwise; 3. Add 1 to the end of the obtained complement.

How to calculate the complement of negative numbers

The complement calculation method of a negative number is as follows:

  1. Find the positive number corresponding to the negative number.
  2. Reverse the positive number bit by bit.
  3. Add 1 to the end of the obtained complement code.

For example, find the complement of -5: The positive number corresponding to

  1. -5 is 5.
  2. Invert 5 bitwise to get 0101.
  3. Add 1 to the end of 0101 to get 01011, which is the complement of -5.

Note that the two's complement representation of negative numbers uses double sign bits in computers. The first sign bit is 1 to represent a negative number, and the second sign bit is 0 to represent a positive number or zero. Therefore, the complement of -5 is actually 1011000 (an 8-bit binary number).

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