5. Design a four-input logic circuit is required to implement the Boolean function F (w,x,y,z)= II (5,6,7,9,10,11,13,14,15)

7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1

Problem 1: Find the dual of a logic function F = (X'Y + Z)W’

Create a truth table that corresponds to the combinational function listed below

Given two Boolean functions T: and T2 with the truth table in Figure 1. B T1 イ2 0. 1 1 1 1 1 1 1 1 1 0. 1 1 1 1 1 1 1 1 1 1 1 Figure 1. The truth table for Problem #2. Simplify these functions

Given the following Boolean Function: F(w,x,y,z) = (8,10,12,14) Show the function in the truth table in column F. 1.

e. Derive the minimal Boolean expression using Boolean algebraic techniques and draw the gate diagram for the canonical representation of the following truth table X 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1 OUT 0 0 0 1 0 1 1 1

Build the logic circuit, using AND and OR gates and INVERTERS. Z = [A + B + C'DE ']' + B'CD ' Also, Evaluate the output of the circuit for A = B = D =0 and C= E = 1 (Hint: Use Z equation and substitute the variables with the numerical inputs given and do your analysis)

Use the laws of Boolean algebra to simplify (A+B)(A'+B')