8-Bit Two's Complement: Maximum and Minimum Values

In two's complement notation, the leftmost bit represents the sign of the number. For an 8-bit word length, the leftmost bit is the most significant bit (MSB).

The MSB is used to represent the sign of the number. If the MSB is 0, the number is positive, and if the MSB is 1, the number is negative.

For an 8-bit word length, the largest positive number that can be stored is when all the bits, except the MSB, are set to 1. This results in the binary number 01111111, which is equal to +127 in decimal.

The smallest negative number that can be stored is when all the bits, including the MSB, are set to 1. This results in the binary number 10000000, which is equal to -128 in decimal.

Therefore, the largest number that can be stored is +127, and the smallest number that can be stored is -128.