# hw1solv2 - b NOR a a NOR NOR b NOR b NOR NOR a a NOR b NOR...

This preview shows pages 1–2. Sign up to view the full content.

1 ECE 2030F: Introduction to Computer Engineering Fall 2007 Homework 1 Solution (Total 40 Points) 1. (10 points) a) f1 = (a AND b) or (NOT b AND c) b) f2 = (a NAND b) NAND c = ab+ c b = c b a a b c ab c b f1 a b c ab c ab f2 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 2. (10 points) a) (NOT a AND NOT b) OR (NOT a OR b) ) ( ) 1 ( ) ( b NOT AND a NOT b OR a NOT b a b b a b a b a = = + = + + = + + = b) a AND (NOT b OR NOT c OR NOT a) ) ( ) ( ) ( ) ( ) ( ) ( c AND b NOT AND a c NOT OR b NOT AND a c NOT AND a OR b NOT AND a c b a c a b a a a c a b a a c b a = = = + = + = + + = + + = 3. (10 points) a) a OR NOT b b NAND b NAND a b NAND NAND a b NAND a NAND a b NAND a NOT b NAND a b a b a ) ( ) 1 ( ) ( ) ( = = = = = = + =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
2 b) a XOR b ) ) (( )) ( ( ) ) 1 (( )) 1 ( ( ) ) (( )) ( ( ) ( ) ( b NAND b NAND a NAND b NAND a NAND a b NAND NAND a NAND NAND b NAND a b NAND a NAND a NAND b NAND b NAND a b NAND a NAND b NAND a b a NAND b a b a b a b a b a = = = = = = + = 4. (10 points) a) a XNOR b ) )) (( ) ) (( ) )) 0 (( ) ) 0 (( ) )) (( ) ) (( b XNOR a , 0 )) ( )) 0 ( ) 0 ((( )) ( )) ( ) ((( )) ( )) ( ) ((( )) ( )) ( ) ((( )) ( ) (( ) ( ) ( a NOR b NOR a NOR b NOR
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: b NOR a a NOR NOR b NOR b NOR NOR a a NOR b NOR b NOR b NOR a NOR a ely Alternativ NOR b NOR a NOR NOR b NOR NOR a b NOR a NOR b NOR b NOR a NOR a NOR b NOR a NOR b NOR b NOR a NOR a b NOR a NOR b NOR b NOR a NOR a NOT b NOR a NOR b NOR a NOT b a NOR b a NOT b a NOR ab NOT b a NOR ab b a ab b a ab = = = = = = = + + = = = + = + = b) (a AND NOT b) OR (b AND NOT c) )) ) (( ) ) (( )) ) (( ) ) ((( )) ) (( ) ) ((( )) ) (( ) ) ((( )) ( ) (( ) ( ) ( NOR c NOR NOR b NOR b NOR NOR a c NOR b NOR b NOR b NOR a NOR a NOR c NOR b NOR b NOR b NOR a NOR a c NOR b NOR b NOR b NOR a NOR a NOT c NOR b NOR b NOR a NOT c b NOR b a NOT c b NOR b a NOT c b NOR b a c b b a c b b a = = = = + + = = = + = + =...
View Full Document

## This note was uploaded on 06/17/2008 for the course ECE 2030 taught by Professor Wolf during the Fall '07 term at Georgia Institute of Technology.

### Page1 / 2

hw1solv2 - b NOR a a NOR NOR b NOR b NOR NOR a a NOR b NOR...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online