Q.1
Exam - CBSE12D-2017/C06D/3
Reduce the following Boolean Expression to its simplest form using K-Map:
F(X,Y,Z,W)= Σ (0,1,2,3,4,5,10,11,14)
Question Typewise Collection-"Derivations" Questions - Exam Papers (Python) 
No. of Q.12
No. of Q.12
Q.2
Exam - CBSE12D-2017/C06C/1
Derive a Canonical SOP expression for a Boolean function F, represented by the following truth table:
| U | V | W | F(U,V,W) |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 0 |
Q.3
Exam - CBSE12A-2015/C06D/3
Reduce the following Boolean Expression to its simplest form using K-Map :
F(X,Y,Z,W) = ∑(0,1,4,5,6,7,8,9,11,15)
Q.4
Exam - CBSE12A-2015/C06C/1
Derive a Canonical POS expression for a Boolean function F, represented by the following truth table:
| P | Q | R | F(P,Q,R) |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Q.6
Exam - CBSE12A-2017/C06D/3
Reduce the following Boolean expression to its simplest form using K-Map:
E(U,V,Z,W)= Ó (2,3,6,8,9,10,11,12,13)
Q.7
Exam - CBSE12A-2017/C06C/1
Derive a Canonical POS expression for a Boolean function G, represented by the following truth table:
| X | Y | Z | G(X,Y,Z) |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Q.8
Exam - CBSE12A-2018/C06D/3
Reduce the following Boolean Expression to its simplest form using K-Map:
G(U,V,W,Z) = Σ (3,5,6,7,11,12,13,15)
Q.9
Exam - CBSE12A-2018/C06C/1
Derive a Canonical POS expression for a Boolean function FN, represented by the following truth table:
| X | Y | Z | FN(X,Y,Z) |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Q.10
Exam - CBSE12A-2016/C06D/3
Reduce the following Boolean Expression to its simplest form using K-Map:
F(P,Q,R,S)= Σ(0,4,5,8,9,10,11,12,13,15)
Q.11
Exam - CBSE12A-2016/C06C/1
Derive a Canonical SOP expression for a Boolean function G, represented by the following truth table:
| A | B | C | G(A,B,C) |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |
Q.12
Exam - CBSE12A-2016/C06A/2
Verify the following using Boolean Laws.
X’+ Y’Z = X’.Y’.Z’+ X’.Y.Z’+ X’Y.Z+ X’.Y’.Z+ X.Y’.Z
LHS X’ + Y’.Z = X’.(Y + Y’).(Z + Z’) + (X + X’).Y’.Z