Binary Number System

Sign-Magnitude Signed Binary Integer

BITS

33222222222211111111110000000000 10987654321098765432109876543210 SBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

where

S = 1 for negative number, 0 for non-negative

The remaining bits in position n represents 2ⁿ place.

EXAMPLE

What is the 32-bit sign-magnitude binary integer representation for the decimal integer -47?

SOLUTION

1. S = 1, for negative number.

2. Solve as for an unsigned integer for the remaining 31 bits.

47₁₀ = 101111₂

3. Organize the bits, padding with zeroes between the sign and the magnitude:

1 0000000000000000000000000 101111

4. Convert to hex:

1000 0000 0000 0000 0000 0000 0010 1111
8000002F