Exercise: Boolean Algebra And Logic Simplification

Questions for: Boolean Algebra And Logic Simplification

Which Boolean algebra property allows us to group operands in an expression in any order without affecting the results of the operation [for example, A + B = B + A]?
A:
associative
B:
commutative
C:
Boolean
D:
distributive
Answer: B
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When are the inputs to a NAND gate, according to De Morgan's theorem, the output expression could be:
A:
X = A + B
B:
C:
X = (A)(B)
D:
Answer: A
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AC + ABC = AC
A:
True
B:
False
C:
D:
Answer: A
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How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)
A:
1
B:
2
C:
4
D:
5
Answer: B
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What is the primary motivation for using Boolean algebra to simplify logic expressions?
A:
It may make it easier to understand the overall function of the circuit.
B:
It may reduce the number of gates.
C:
It may reduce the number of inputs required.
D:
all of the above
Answer: D
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