Boolean Algebra and Logic Simplification Questions and Answers

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Q1
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: Option B
Q2
Which of the following expressions is in the sum-of-products (SOP) form?
  • A (A + B)(C + D)
  • B (A)B(CD)
  • C AB(CD)
  • D AB + CD
Answer: Option D
Q3
The commutative law of Boolean addition states that A + B = A × B.
  • A TRUE
  • B FALSE
Answer: Option B
Q4
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: Option A
Q5
An AND gate with schematic "bubbles" on its inputs performs the same function as a(n)________ gate.
  • A NOT
  • B OR
  • C NOR
  • D NAND
Answer: Option C
Q6
Determine the values of A, B, C, and D that make the product term equal to
  • A A = 0, B = 1, C = 0, D = 1
  • B A = 0, B = 0, C = 0, D = 1
  • C A = 1, B = 1, C = 1, D = 1
  • D A = 0, B = 0, C = 1, D = 0
Answer: Option A
Q7
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: Option D
Q8
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: Option B
Q9
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: Option B
Q10
When grouping cells within a K-map, the cells must be combined in groups of ________.
  • A 2s
  • B 1, 2, 4, 8, etc.
  • C 4s
  • D 3s
Answer: Option B

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