Boolean Algebra Questions

Determine the values of A, B, C, and D that make the sum term  equal to zero.

A. A = 1, B = 0, C = 0, D = 0
B. A = 1, B = 0, C = 1, D = 0
C. A = 0, B = 1, C = 0, D = 0
D. A = 1, B = 0, C = 1, D = 1

Answer: B

Derive the Boolean expression for the logic circuit shown below:

A. B. C. D. Answer: A One of De Morgan's theorems states that . Simply stated, this means that logically there is no difference between: A. a NOR and an AND gate with inverted inputs B. a NAND and an OR gate with inverted inputs C. an AND and a NOR gate with inverted inputs D. a NOR and a NAND gate with inverted inputs Answer: A The systematic reduction of logic circuits is accomplished by: A. using Boolean algebra B. symbolic reduction C. TTL logic D. using a truth table Answer: A How many gates would be required to implement the following Boolean expression before simplification? XY + X(X + Z) + Y(X + Z) A. 1 B. 2 C. 4 D. 5 Answer: D