Q. The Boolean Expression $(p \wedge \sim q) \vee q \vee (\sim p \wedge q)$ is equivalent to :
Solution:
p
q
$\sim p$
$\sim q$
$p \wedge \sim q$
$\sim p \wedge q$
$(p \wedge \sim q) \vee q$
$(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$
$p \vee q$
T
T
F
F
F
F
T
T
T
T
F
F
T
T
F
T
T
T
F
T
T
F
F
T
T
T
T
F
F
T
T
F
F
F
F
F
| p | q | $\sim p$ | $\sim q$ | $p \wedge \sim q$ | $\sim p \wedge q$ | $(p \wedge \sim q) \vee q$ | $(p \wedge \sim q) \vee q \vee(\sim p \wedge q)$ | $p \vee q$ |
|---|---|---|---|---|---|---|---|---|
| T | T | F | F | F | F | T | T | T |
| T | F | F | T | T | F | T | T | T |
| F | T | T | F | F | T | T | T | T |
| F | F | T | T | F | F | F | F | F |