3. A logic circuit has three inputs (x,x,x,) representing an unsigned binary number. The output D is required to be 1 if the input number is divisible by 2 or by 3 (i.e. if the quotient is an integer). Design the required logic.

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

- For the following logic functions find their minimal SOP using Karnaugh maps. (a) F =Σx,y,z(1,3,5,6,7) (c) F=Пwxy(1,4,5, 6, 7) (e) F = ПIA.B.C.D(4, 5, 6, 13,15) (b) F=Σw.X.YZ(1,4,5,6,7,9,14,15) (d) FΣw.x.Y.z(0,1,6,7,8,9,14,15) (f) FΣA.B.C.D(4,5,6, 11, 13,14,15)

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

Answer must be correct and proper and must fast as possible

Provide the Boolean expression for X and simplify it. A O BO

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.

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)