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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 | |