Question

Obtain simple logical expression for the following.
$[p\wedge (q\wedge r\left)\right]\vee [\sim r\vee \sim q\wedge p]$

• A. $p$
• B. $q$
• C. $t$
• D. $c$

Answer 1

The correct option is A $p$

$[p\wedge (q\wedge r\left)\right]\vee [\sim r\vee \sim q\wedge p]$

$[p\wedge (q\wedge r\left)\right]\vee [\sim (r\wedge q)\wedge p]$

$[p\wedge (k\vee \sim k\left)\right]$......where $k=(p\wedge q)$

$p\wedge t$

$p$