ECE130 Mark A. Yoder Homework #5 Page 1 of 1
Name _____________________ CM _____ Due date: Thursday, Sept. 18
ECE130-03 Homework #5 Fall 2003
(Boolean algebra)
1 (Problem 4 on page 28 of Dr. Eccles’ book). Use Boolean algebra to simplify
CBABABACBAZ ••+•+•=),,( . Be sure to indicate which theorems you are
applying.
2 (Adapted from Problem 10 on page 29 of Dr. Eccles’ book). Complement each of
the following, using DeMorgan’s theorem so that a sum-of-product expression will
become a product-of-sum one, and visa versa.
(a) CBCBACBAZ •+••=),,(
(b) )()(),,( CACBACBAZ +•++=
3 (Adapted from Problem 11 on page 29 of Dr. Eccles’ book). Convert the following
functions to their minterm canonical form using (a) logic expression and (b) the Σ
notation.
(c) ) CBABACBAZ ••+•=),,(
(d) DBADCBCBADCBAZ ••+••+••=),,,(
4 (Adapted from Problem 19 on page
29 of Dr. Eccles’ book). Write the
maxterm canonical form using the Π
notation for the following truth table.
5 (Adapted from Problem 21 on page
29 of Dr. Eccles’ book). For the truth
table in Problem 4, write the
minterm canonical form using the Σ
notation.
A B C Z(A,B,C)
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 0
1 0 0 0
1 0 1 1
1 1 0 1
1 1 1 0