Question:
Consider the Boolean function :
\[
F=A+\bar{B}C
\]
Choose the correct minterm of given function :
A. \(1,4 \text{ and } 6\)
B. \(5 \text{ and } 7\)
C. \(2,3 \text{ and } 7\)
D. \(1,2,3 \text{ and } 4\)
Choose the correct answer from the options given below :
Consider the Boolean function :
\[
F=A+\bar{B}C
\]
Choose the correct minterm of given function :
A. \(1,4 \text{ and } 6\)
B. \(5 \text{ and } 7\)
C. \(2,3 \text{ and } 7\)
D. \(1,2,3 \text{ and } 4\)
Choose the correct answer from the options given below :
Show Hint
To find minterms:
• Prepare truth table
• Find rows where output is 1
• Convert binary inputs into decimal indices
• Prepare truth table
• Find rows where output is 1
• Convert binary inputs into decimal indices
Updated On: May 22, 2026
- A only
- A and B only
- A and C only
- B and D only
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Determine minterms of the Boolean function F=A+¬BC.
| Step | Explanation |
|---|---|
| 1. Construct truth table | A B C F 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 |
| 2. Identify minterms where F=1 | Binary: 001, 100, 101, 110, 111 Decimal: 1,4,5,6,7 F=∑m(1,4,5,6,7) |
| 3. Analyze statements | A: 1,4,6 ✓ B: 5,7 ✓ C: 2,3,7 ✗ D: 1,2,3,4 ✗ |
| 4. Final Answer | A and B only → (B) |
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