What is the maximum decimal value (positive value) represented by a 6-bit signed binary number with a 3-bit fraction.

Question

What is the maximum decimal value (positive value) represented by a 6-bit signed binary number with a 3-bit fraction.

Answer 1

Since the bit combination is to be interpreted as a signed positive number,

the leading bit must be 0.

The maximum value will be achieved by setting the remaining bits to 1.

That is, the maximum value is 11.111 in binary.

That is 3.875 in decimal.