Design the Arithmetic Unit (7 points) and Logic Unit (3 points) of a 4-bit Arithmetic Logic Unit (ALU) based on the following truth table. You must show the K-Map minimization wherever applicable (may show the minimization for only one output bit).

The symbol and truth table of Ex-NOR gate is as below:

Grading Rubrics:

Arithmetic Unit

Three truth tables 3 points

K-map minimization 2 points

Internal Circuit diagram 2 points

Logic Unit

Truth table 1 point

Internal circuit diagram 2 points

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Hints:

If the truth table is given as below:

Derive the three truth table for the Arithmetic Unit:

Using K-map minimization, find the minimized circuit to implement the above truth table. You can show the K-map minimization for only one output bit.

Final Outcome 1:

Derive the truth table for Logic Unit:

Final outcome 2: