How are negative numbers typically represented in fixed-point number representation?

In fixed-point number representation, negative values are typically represented using the two’s complement format.

Here’s a quick overview of how two’s complement works:

Negative numbers are created by taking the complement of a positive number and adding 1.

For example, to represent -5 in an 8-bit system:

  • Begin with the binary representation of 5: 00000101
  • Consider the one’s complement (invert all bits): 11111010
  • Add 1 to the one’s complement: 11111010+1=11111011.
  • -5 is denoted as 11111011 in two’s complement.

This method eliminates the need for a separate sign bit for representing negative numbers and simplifies arithmetic operations by allowing addition and subtraction to be performed using the same hardware circuits as positive numbers.