For the circuits shown below, the Boolean polynomial is

Question

For the circuits shown below, the Boolean polynomial is (A)  (∼ p ∨ q) ∨ (p ∨ ∼ q)  (B)  (∼ p ∧ q) ∧ (p ∧ q)  (C)  (∼ p ∧ ∼ q) ∧ (q ∧ q)  (D)  (∼ p ∧ q) ∨(p ∧ ∼ q)

Tardigrade Admin · Accepted Answer

For the given circuit, Boolean polynomial is (∼ p ∧ q) ∨(p ∧ ∼ q)

Q. For the circuits shown below, the Boolean polynomial is

$(\sim p \lor q) \lor (p \lor \sim q)$

$(\sim p \land q) \land (p \land q)$

$(\sim p \land \sim q) \land (q \land q)$

$(\sim p \land q) \lor (p \land \sim q)$

For the given circuit, Boolean polynomial is $(\sim p \land q) \lor (p \land \sim q)$

Q. For the circuits shown below, the Boolean polynomial is

(∼p∨q)∨(p∨∼q)

(∼p∧q)∧(p∧q)

(∼p∧∼q)∧(q∧q)

(∼p∧q)∨(p∧∼q)

For the given circuit, Boolean polynomial is (∼p∧q)∨(p∧∼q)

$(\sim p \lor q) \lor (p \lor \sim q)$

$(\sim p \land q) \land (p \land q)$

$(\sim p \land \sim q) \land (q \land q)$

$(\sim p \land q) \lor (p \land \sim q)$

For the given circuit, Boolean polynomial is $(\sim p \land q) \lor (p \land \sim q)$