(Solved): For the design problems given below, draw the truth table, simplify the function using algebraic m ...

For the design problems given below, draw the truth table, simplify the function using algebraic manipulation and draw the logic circuits. a. Consider a logic function f with four variables. The function f is equal to 1 if any odd number of variables is equal to 1; otherwise, the function f is equal to zero. b. Consider a logic function f with four variables. The function f is equal to 1 if any even number of variables is equal to 1; otherwise, the function f is equal to zero. c. Consider a logic function f with three variables xl, x2 and x3. The function f is equal to 1 if xl = 1 and x2 = x3 or if xl = 0 and x2 x3; otherwise, the function f is equal to zero. d. Consider a logic function f with four variables. The function f is equal to 1 if two or more variables are equal to 1; otherwise, the function f is equal to zero. e. Consider a logic function f with four variables x1, x2, x3 and x4. The function fis equal to 1 if any two or more variables are equal to 1; otherwise, the function fis equal to zero with the following exception: the function f is also equal to zero, if xl is equal to zero and any other two variables are equal to 1.