What is the maximum decimal 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

The most positive, 6-bit signed, 3-decimal fixed-point number looks like this:

011111 (binary)

and is interpreted like this:

+11.111 (binary)

In decimal (base 10), then, the value is 3.875, or 3 + 7/8, or completely broken down: 2 + 1 + 1/2 + 1/4 + 1/8).