3-Input Logic Optimization

Question

Problem: 3-Input Logic Optimization. Solve this hands-on electronics task on EWskills.

Accepted Answer

To optimize the circuit, we map the output values onto a 3-variable Karnaugh map:

	BC=00	BC=01	BC=11	BC=10
A=0	0	1	1	0
A=1	0	0	1	1

By grouping the adjacent 1s in the K-map, we derive two prime implicants:

Output Equation:

Output = ((NOT A) AND C) OR (A AND B)

Calculation breakdown:

(NOT A) AND C: This term accounts for the inputs where A is 0 and C is 1.
A AND B: This term accounts for the inputs where A is 1 and B is 1.
OR Operation: The OR gate combines these two terms to produce the final output.

Circuit Implementation:

Inversion: Connect input A to a NOT gate to obtain NOT A.
Product Terms: Connect NOT A and C to the first AND gate. Connect A and B to the second AND gate.
Summation: Connect the outputs of the two AND gates to the inputs of an OR gate.

Connect: Map the output of the OR gate to the Output probe.

8. 3-Input Logic Optimization