Truth Table
Q. Construct a truth-table for the following logical expressions:
1. (B à A) & (~B
Ú ~A) (Dec. 02)
2. ~(C à D) Ú
(C Ù D) (June 02)
3. ~(P Ú Q) à
(P Ù Q) (Dec. 01)
4. (C Ú ~D) à
(D à C) (Jan. 01)
1.
| A |
B |
~A |
~B |
B à A |
~B Ú
~A |
(B à A) &
(~B Ú ~A)
|
| T |
T |
F |
F |
T |
F |
F |
| T |
F |
F |
T |
T |
T |
T |
| F |
T |
T |
F |
F |
T |
F |
| F |
F |
T |
T |
T |
T |
T |
2.
| C |
D |
~C |
~D |
~(C à
D) |
C Ù D |
~(C à
D) Ú (C Ù
D) |
| T |
T |
F |
F |
F |
T |
T |
| T |
F |
F |
T |
T |
F |
T |
| F |
T |
T |
F |
F |
F |
F |
| F |
F |
T |
T |
F |
F |
F |
3.
| P |
Q |
~P |
~Q |
~(P Ú
Q) |
P Ù Q |
~(P Ú
Q) à (P Ù
Q) |
| T |
T |
F |
F |
F |
T |
T |
| T |
F |
F |
T |
F |
F |
T |
| F |
T |
T |
F |
F |
F |
T |
| F |
F |
T |
T |
T |
F |
F |
4.
| C |
D |
~C |
~D |
C Ú ~D
|
D à C |
(C Ú ~D)
à (D à
C) |
| T |
T |
F |
F |
T |
T |
T |
| T |
F |
F |
T |
T |
T |
T |
| F |
T |
T |
F |
F |
F |
T |
| F |
F |
T |
T |
T |
T |
T |
|
AI
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