Chapter 14, Problem 14.1P

1. For the following logic gates: a. Write a Truth Table and logic equation? A Y A A. Y A Y "0" A A neotoof "0"> Day Y "1" A ADY DY A B DD A B b. What each of these gates represent? 2. Connect and draw the following digital logic equations: a. Y=X+1 b. Y=X+X' = \ c. Y=X X' d. Y=X 0 e. Y=XX' f. Y=XOX 3. Prove that: a. X(Y+Z)=XY+XZ b. X+YZ=(X+Y)(X+Z) c. (X+Y)'=X'Y' d. (XY)'=X'+Y e. X+XY=X f. X(X+Y)=X

I need help with this problem and an step by step explanation of the solution from the image described below. (Introduction to Signals and Systems: Spectrum Representation)

I need help with this problem and an step by step explanation of the solution from the image described below. (Introduction to Signals and Systems: A complex Numbers)