How to represent negative numbers in binary

The binary representation of negative numbers usually uses complement notation. The steps are: 1. Convert the negative number into the binary representation of its corresponding absolute value. For example, the absolute value of -5 is 5, and its binary representation is 101; 2. Convert this binary number to its complement. The complement number is calculated by inverting the binary representation of the corresponding positive number (0 becomes 1, 1 becomes 0), and then adds 1. For the above example, after inverting, we get 010, and adding 1 to get 011; 3. The binary number obtained is the complement representation of the negative number. Therefore, the two's complement representation of -5 is 011.

The binary representation of negative numbers usually uses complement notation. In two's complement representation, the binary representation of a positive number is the same as the original representation, while the binary representation of a negative number is the complement of its corresponding positive number.

Here are the steps for using the two's complement binary representation of a negative number:

• First, convert the negative number to the binary representation of its corresponding absolute value. For example, the absolute value of -5 is 5, and its binary representation is 101.
• Then, convert this binary number to its complement. The complement number is calculated by inverting the binary representation of the corresponding positive number (0 becomes 1, 1 becomes 0), and then adds 1. For the above example, negating the value results in 010, and adding 1 results in 011.
• The final binary number is the complement representation of the negative number. Therefore, the two's complement representation of -5 is 011.

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