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Sign-Magnitude Representation:
- The most significant bit (MSB) represents the sign (0 for positive, 1 for negative).
- The remaining bits represent the magnitude of the number.
- Example: In 8-bit representation, +5 is
00000101and -5 is10000101.
In a binary system, 100-38=62, how is the number -38 represented here?
To represent the number -38 in binary, we need to use the concept of two's complement, which is the most common method for encoding negative numbers in binary. Here are the steps:
Example:
Convert the denary number -14 into 8-bit binary number using two’s complement.
Solution：
目标数： -14
第1步: 取正 00001110( 正数14)
第2步: 取反 1 1110001
第3步：加一 1 1110010
- 作者:现代数学启蒙
- 链接:https://www.math1234567.com/article/binarysubtraction
- 声明:本文采用 CC BY-NC-SA 4.0 许可协议，转载请注明出处。
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