Parity of Convolution

Correct Answer

D — Both statements 1 and 2 are true

Statement-wise Analysis

Statement 1: True

Statement 2: True

Concept and Reasoning

Convolution preserves parity according to the same even/odd combination rules: even*even is even, odd*odd is even, and odd*even is odd. Therefore both statements are true, giving option D.

Calculation / Key Relation

E*E→E

O*O→E

E*O→O

Exam Takeaway

Two same parities give even; mixed parities give odd.

Common Mistake

Do not assume odd convolved with odd remains odd.