What is the complement of a negative number?

The complement of negative numbers is a binary encoding method that represents negative numbers. The following is the calculation method of the complement of negative numbers: 1. Convert the absolute value of the negative number into binary form; 2. Convert each binary number Bit inversion; 3. Add 1 to the result.

# Operating system for this tutorial: Windows 10 system, Dell G3 computer.

The complement of negative numbers is a binary encoding method for representing negative numbers. In computers, complement representation is commonly used. Here's how the two's complement of a negative number is calculated:

1. First, convert the absolute value of the negative number into binary form.

2. Next, negate each bit of the binary number. That is, change 0 to 1 and 1 to 0.

3. Then, add 1 to the result.

The binary number obtained in this way is the complement representation of a negative number.

For example, suppose you need to calculate the complement of -5:

1. Convert 5 to binary: 101 (because |-5| = 5, and the binary of 5 is 101).

2. Negate and get: 010.

3. Add 1 to get: 011.

Therefore, the complement representation of -5 is 011.

The advantage of using complement is that the addition and subtraction of negative and positive numbers can be processed uniformly without additional logic. In computers, most computers use a fixed number of complements to represent integers. The highest bit is the sign bit, 0 represents a positive number, and 1 represents a negative number. Through the complement code, the representation of negative numbers in the computer is more concise and convenient.

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