Question

What is the 8-bit two's complement for the following integer?

Answer 1

To find the 8-bit two's complement for an integer, write the binary representation of its absolute value, invert the bits, and add one to the inverted number.

Step-by-step explanation:

The 8-bit two's complement representation of an integer involves inverting all the bits of the binary representation of its absolute value and then adding one to this inverted number. Here's a step-by-step guide to convert an integer to its 8-bit two's complement form:

1. Write down the binary representation of the absolute value of the integer, ensuring it fits in 7 bits for a total of 8 bits including the sign bit.
2. Invert all 7 bits (flip 0s to 1s and 1s to 0s).
3. Add one to this inverted number.
4. If the original integer was negative, this result is the two's complement; if it was positive, the two's complement is the same as the original binary number.

Remember, all digits are significant when considering binary numbers.