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This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
How many minimal forms are there in the function F(A, B, C) = ∑(1, 3, 2, 5, 6, 7) if it is having cyclic prime implicants k-map? |
A. | 216 |
B. | 2 |
C. | 14 |
D. | 82 |
Answer» C. 14 | |
2. |
How many false essential prime implicants for the given Boolean functions f(A, B, C) = ∑m(2, 5, 6)? |
A. | 1024 |
B. | 2 |
C. | 16 |
D. | 435 |
Answer» C. 16 | |
3. |
For an 18-variable k-map determine the number of prime implicants? |
A. | 218 |
B. | 35 |
C. | 253 |
D. | 721 |
Answer» B. 35 | |
4. |
Determine the number of prime implicants of the following function F?F(a, b, c, d) = Σm(1, 3, 7, 9, 10, 11, 13, 15) |
A. | 621 |
B. | 187 |
C. | 35 |
D. | = Σm(1, 3, 7, 9, 10, 11, 13, 15)a) 621b) 187c) 35d) 5 |
Answer» E. | |
5. |
How many essential prime implicants are there in the K-Map of the function F = Σ(0, 1, 2, 4, 7, 11, 12, 13, 15)? |
A. | 4 |
B. | 1 |
C. | 3 |
D. | 7 |
Answer» C. 3 | |
6. |
f(x, y, z) = xy’+yz’+xyz, what are essential prime implicants of this switching function? |
A. | 8 |
B. | 0 |
C. | 4 |
D. | 3 |
Answer» C. 4 | |
7. |
How many number of prime implicants are there in the expression F(x, y, z) = y’z’ + xy + x’z. |
A. | 7 |
B. | 19 |
C. | 3 |
D. | 53 |
Answer» D. 53 | |
8. |
Determine the number of essential prime implicants of the function f(a, b, c, d) = Σm(1, 3, 4, 8, 10, 13) + d(2, 5, 7, 12), where m denote the minterm and d denotes the don’t care condition. |
A. | 23 |
B. | 3 |
C. | 643 |
D. | = Σm(1, 3, 4, 8, 10, 13) + d(2, 5, 7, 12), where m denote the minterm and d denotes the don’t care condition.a) 23b) 3c) 643d) 128 |
Answer» C. 643 | |
9. |
How many cells are there for an 8-variable K-Map? |
A. | 421 |
B. | 1048 |
C. | 256 |
D. | 375 |
Answer» D. 375 | |
10. |
What is the maximum number of prime implicants with 34-variable minimized expression? |
A. | 34 |
B. | 764 |
C. | 233 |
D. | 231 |
Answer» D. 231 | |