In C, the two’s complement representation is commonly used to represent signed integers. To obtain the two’s complement of a number, you can follow these steps:
- Start with the binary representation of the number.
- If the number is positive (i.e., its most significant bit is 0), then its two’s complement is the same as its binary representation.
- If the number is negative (i.e., its most significant bit is 1), you need to perform the following steps: a. Invert all the bits (change 1s to 0s and 0s to 1s). b. Add 1 to the inverted result.
Here’s an example to illustrate the process:
Let’s say we want to find the two’s complement of -7.
- Start with the binary representation of 7: 00000111
- Invert all the bits: 11111000
- Add 1 to the inverted result: 11111001
So, the two’s complement representation of -7 in C is 11111001.
In C programming, when you declare a signed integer variable and assign a negative value to it, the compiler automatically represents that value using two’s complement notation.
2s complement in C example:
Certainly! Let’s take an example to find the two’s complement of a negative number in C.
#include <stdio.h> int main() { int num = -10; int two_s_complement; two_s_complement = ~num + 1; printf("Number: %d\n", num); printf("Two's complement: %d\n", two_s_complement); return 0; }
In this example, we have a variable num
initialized with the value -10. We want to find the two’s complement of this number.
The two’s complement is obtained by performing the following steps:
- Invert all the bits of the number (
~num
). - Add 1 to the inverted result (
~num + 1
).
The resulting two’s complement is then stored in the variable two_s_complement
.
When we run this program, the output will be:
Number: -10 Two's complement: 10
Therefore, the two’s complement of -10 in C is 10.