Boolean Algebra and Logic Simplification Questions and Answers
Boolean Algebra and Logic Simplification Questions with Answers form the foundation of digital electronics. These problems focus on simplifying logical expressions using laws of Boolean algebra, Karnaugh maps, and logic gates. Mastering these questions is essential for students appearing in GATE, ISRO, ECIL, and DRDO exams. Practicing these digital electronics MCQs with step-by-step solutions improves circuit optimization skills and enhances overall exam performance.
Boolean Algebra and Logic Simplification
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41 questions
1. Determine the values of A, B, C, and D that make the sum term equal to zero.
- A = 1, B = 0, C = 0, D = 0
- A = 1, B = 0, C = 1, D = 0
- A = 0, B = 1, C = 0, D = 0
- A = 1, B = 0, C = 1, D = 1
2. Which of the following expressions is in the sum-of-products (SOP) form?
- (A + B)(C + D)
- (A)B(CD)
- AB(CD)
- AB + CD
3. The commutative law of Boolean addition states that A + B = A × B.
- TRUE
- FALSE
4. The systematic reduction of logic circuits is accomplished by:
- using Boolean algebra
- symbolic reduction
- TTL logic
- using a truth table
5. An AND gate with schematic "bubbles" on its inputs performs the same function as a(n)________ gate.
- NOT
- OR
- NOR
- NAND
6. Determine the values of A, B, C, and D that make the product term equal to
- A = 0, B = 1, C = 0, D = 1
- A = 0, B = 0, C = 0, D = 1
- A = 1, B = 1, C = 1, D = 1
- A = 0, B = 0, C = 1, D = 0
7. What is the primary motivation for using Boolean algebra to simplify logic expressions?
- It may make it easier to understand the overall function of the circuit.
- It may reduce the number of gates.
- It may reduce the number of inputs required.
- all of the above
8. How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)
- 1
- 2
- 4
- 5
9. 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]?
- associative
- commutative
- Boolean
- distributive
10. When grouping cells within a K-map, the cells must be combined in groups of ________.
- 2s
- 1, 2, 4, 8, etc.
- 4s
- 3s