Question

Write the dual of following:
$\sim p\wedge (q\wedge c)$
where $t$ stands for tautology and $c$ stands for contradiction

• A. $\sim p\vee (q\wedge c)$
• B. $p\wedge (q\wedge t)$
• C. $\sim p\wedge (q\wedge c)$
• D. $\sim p\vee (q\vee t)$

Answer 1

Answer: (D)

$\sim p\vee (q\vee t)$

To obtain the dual of a formula , replace ∧ with V vice versa

Also, "and" is replaced with "or" and vice versa.