Verify the following using Boolean Laws.
X + Y' = X.Y+ X.Y'+ X'.Y'
L.H.S
=X + Y'
=X.(Y+Y')+ (X + X').Y'
=X.Y + X.Y' + X.Y' +X'.Y'
=X.Y + X.Y' + X'.Y'
=R.H.S
Write the Boolean Expression for the result of the Logic Circuit as shown below:
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 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |
Reduce the following Boolean Expression to its simplest form using K-Map:
F(X,Y,Z,W)= (2,6,7,8,9,10,11,13,14,15)
Verify the following using Boolean Laws.
X + Y' = X.Y+ X.Y'+ X'.Y'
Derive a Canonical SOP expression for a Boolean function F, represented by the following truth table :
| A | B | C | F(A,B,C) |
| 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 |
Draw the Logic Circuit for the following Boolean Expression :
(U + V').W' + Z
Reduce the following Boolean Expression to its simplest form using Kâ€Map :
F(X,Y,Z,W) = ∑(0,1,6,8,9,l0,11,12,15)
Mock Test Series
