Derive the Boolean expression for the logic circuit shown below:
2023
Derive the Boolean expression for the logic circuit shown below:
- A.
C(A + B)DE
- B.
[C(A + B)D + E′]
- C.
[[C(A + B)D]E′]
- D.
More than one of the above
- E.
None of the above
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Show answer & explanation
Correct answer: A
Step 1: The inputs A and B are fed into an OR gate. The output of the OR gate is (A + B). Step 2: The output (A + B) is combined with inputs C and D in an AND gate. The output of this AND gate is C(A + B)D. Step 3: The output C(A + B)D and input E are fed into the final AND gate. The final output of the circuit is C(A + B)DE.