python if needed

1 Show The number n255 is odd. (Proof by Induction) 1.2 Prove that the product of two odd natural numbers must be odd (Direct Proof) 1.3 Prove that if n is an even natural number and if m is any natural number then n * m must be even. (Direct Proof) 1.4 Prove that the cube of an odd number must be odd. (Direct Proof 2 Circuits Problem 2.1 Design one circuit which matches the following output: Y= A * B * C * D. 3 Logic Show that this (-q and (p--P n is a tautology