Laboratory 3:                                          Fall, 2008

 

Given the following two functions in 4 binary variables:

 

Equation 1:  F1(WXYZ) = WX’Y + WX’Z + W’X’ + YZ’ + Y’Z’ + WX’Z’

 

Equation 2:  F2(WXYZ) = WYZ + WX’Y + WXYZ + W’XYZ + X’YZ

 

Use Boolean Identities to algebraically reduce each equation to its simplest form.

Design a logic circuit, using a minimum number of AND, NOT and OR gates,

which will implement each function.

 

10% Additional Credit:

Implement each equation in a single type of gate logic. Choices are NAND or NOR.  Show both

Functions operating simultaneously.

 

 

Note that in the lab, the binary variables are labeled: X3, X2, X1 and X0.

 

 

 

Number of AND,OR,NOT Gates: ________                        

 

 Number of NAND, NOR Gates: __________

 

 

Signature:  _____________________________