Design a combinational logic circuit with inputs A, B, C, D. The output Y goes high only if A and C are high. Draw the truth table and Boolean function using K-map. Draw the circuit diagram.

Answer:

The first step in designing a combinational logic circuit is to define the problem. In this case, the output Y should go high only if inputs A and C are high, regardless of the states of B and D.

The next step is to create a truth table that represents this logic. The truth table for this logic would look like this:

A	B	C	D	Y
0	0	0	0	0
0	0	0	1	0
0	0	1	0	0
0	0	1	1	0
0	1	0	0	0
0	1	0	1	0
0	1	1	0	0
0	1	1	1	0
1	0	0	0	0
1	0	0	1	0
1	0	1	0	1
1	0	1	1	1
1	1	0	0	0
1	1	0	1	0
1	1	1	0	1
1	1	1	1	1

From the truth table, we can derive the Boolean function using Karnaugh map (K-map) simplification.

The K-map for this function would look like this:

			1	1
			1	1
			0	0
			0	0

From the K-map, we can see that the simplified Boolean function for the output Y is:

Y = A.C

This means that the output Y is high (1) only when both A and C are high (1).

The final step is to draw the circuit diagram. The circuit diagram for this function would consist of two inputs A and C connected to an AND gate, with the output Y connected to the output of the AND gate.

Here is a simple representation of the circuit diagram:

A ----\
       AND ----> Y
C ----/

In this circuit diagram, the AND gate represents the Boolean function Y = A.C. The inputs A and C are connected to the inputs of the AND gate, and the output Y is connected to the output of the AND gate. When both A and C are high (1), the output Y goes high (1). Otherwise, the output Y stays low (0).