MCQOPTIONS
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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. |
Minimize the following Boolean expression using Boolean identities.F(A,B,C) = (A+BC’)(AB’+C) |
| A. | A + B + C’ |
| B. | AC’ + B |
| C. | B + AC |
| D. | A(B’ + C) |
| Answer» E. | |
| 2. |
Minimize the Boolean expression using Boolean identities: A′B+ABC′+BC’+AB′C′. |
| A. | B(AC)’ + AC’ |
| B. | AC’ + B’ |
| C. | ABC + B’ + C |
| D. | BC’ + A’B |
| Answer» B. AC’ + B’ | |
| 3. |
Simplify the expression: XY’ + X’ + Y’X’. |
| A. | X’ + Y |
| B. | XY’ |
| C. | (XY)’ |
| D. | Y’ + X |
| Answer» D. Y’ + X | |
| 4. |
If an expression is given that x+x’y’z=x+y’z, find the minimal expression of the function F(x,y,z) = x+x’y’z+yz? |
| A. | y’ + z |
| B. | xz + y’ |
| C. | x + z |
| D. | x’ + y |
| Answer» D. x’ + y | |
| 5. |
Find the simplified term Y’ (X’ + Y’) (X + X’Y)? |
| A. | XY’ |
| B. | X’Y |
| C. | X + Y |
| D. | X’Y’ |
| Answer» B. X’Y | |
| 6. |
Simplify the expression XZ’ + (Y + Y’Z) + XY. |
| A. | (1+XY’) |
| B. | YZ + XY’ + Z’ |
| C. | (X + Y +Z) |
| D. | XY’+ Z’ |
| Answer» D. XY’+ Z’ | |
| 7. |
What is the simplification value of MN(M + N’) + M(N + N’)? |
| A. | M |
| B. | MN+M’N’ |
| C. | (1+M) |
| D. | M+N’ |
| Answer» C. (1+M) | |
| 8. |
Simplify the expression: A’(A + BC) + (AC + B’C). |
| A. | (AB’C+BC’) |
| B. | (A’B+C’) |
| C. | (A+ BC) |
| D. | AC |
| Answer» C. (A+ BC) | |
| 9. |
Evaluate the expression: (X + Z)(X + XZ’) + XY + Y. |
| A. | XY+Z’ |
| B. | Y+XZ’+Y’Z |
| C. | X’Z+Y |
| D. | X+Y |
| Answer» E. | |
| 10. |
Find the simplified expression A’BC’+AC’. |
| A. | B |
| B. | A+C |
| C. | (A+B)C’ |
| D. | B’C |
| Answer» D. B’C | |