DUKE UNIVERSITY
Department of Electrical and Computer Engineering
ECE 52 Assignment 1

Due in class

1) Finish reading chapter 2.

2) [5 points] Consider the function f(x,z) = xz+x'z'.
a) Draw a logic diagram using AND, OR, and NOT gates for this function. 
b) Construct a truth table for this function.

3) [5 points] Consider the function f(w,x,y,z) = w'xz + wxyz + wx'yz'.
a) Draw a logic diagram using AND, OR, and NOT gates for this function. 
b) Construct a truth table for this function.

4) [5 points] Discuss the relationship, if any, between the functions described in problems 2 and 3
(hint: consider the function in (2) to be f(w,x,y,z) = xz+x'z').