Question

Give the truth table of logic which converts three-bit signed magnitude number code to three-bit two’s complement number code.

Answer 1

The truth table of logic which converts three-bit signed magnitude number code to three-bit two’s complement number code can be obtained by following certain steps and rules.

Step-by-step explanation:

The truth table of logic which converts three-bit signed magnitude number code to three-bit two’s complement number code can be obtained by following these steps:

1. Create a table with three columns for the input bits (A, B, and C) and three columns for the output bits (X, Y, and Z).
2. Fill in all possible combinations of the input bits (000, 001, 010, 011, 100, 101, 110, 111).
3. For each combination, determine the corresponding output bits based on the signed magnitude to two’s complement conversion rules.
4. Repeat step 3 for all combinations.

Here's an example of a truth table for the conversion:

A B C X Y Z

0 0 0 0 0 0

0 0 1 0 0 1

0 1 0 0 1 0

0 1 1 0 1 1

1 0 0 1 0 0

1 0 1 1 0 1

1 1 0 1 1 0

1 1 1 1 1 1