Question

What negative Base 10 value does the following Base 2 Two's Complement represent: 10000011 . This is a Base 10 (decimal) answer - not a Base 2 (binary) answer. Be sure to include the negative sign with the Base 10 value.

Answer 1

The negative base 10 value represented by 10000011 in two's complement is -131.

Step-by-step explanation:

In two's complement, the leftmost bit represents the sign of the number. If it is 0, the number is positive and if it is 1, the number is negative. To find the negative value of a two's complement representation, we need to find the decimal value of the positive binary number and then add a negative sign. In this case, the binary number is 10000011, which is 131 in decimal.