# answers1 - EECS 203 Fall 2010 Midterm Exam 1 (70 points)...

This preview shows pages 1–4. Sign up to view the full content.

1 EECS 203 Fall 2010 Midterm Exam 1 (70 points) Closed Book Closed Electronic Devices Closed Neighbor One side of one sheet of an 8.5 x 11 paper is allowed as a cheat sheet. Name: Sample Solution UM unique name: @umich.edu Discussion section: (circle) Benjamin(Fri 1:30-2:30) Pradeep(Mon 3:30-4:30) Michael(Mon 12:30-1:30) Benjamin(Fri 2:30-3:30) Pradeep(Fri 3:30-4:30) Michael(Mon 1:30-2:30) Kuldeep(Fri 12:30-1:30) Instructions: 1. Write clearly. If we cannot read your writing then it will be marked wrong. 2. You may use the blank pages as spillover space or for scratch work. 3. This course operates under the rules of the College of Engineering Honor Code. Your signature endorses the pledge below. After you finish your exam, please sign below: I have neither given nor received aid on this examination, nor have I concealed any violations of the Honor Code. Q 1 /10 Q 5 /10 Q 2 /10 Q 6 /10 Q 3 /10 Q 7 /10 Q 4 /10 Total /70

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

View Full Document
2 1) (10 points) Prove without using truth tables that the following proposition is a tautology: ( p q ) ( p ( q p )) ( p q ) ( p ( q p )) ≡ ( p q ) p ( q p )) because p q ≡ ¬ p q ≡ ( p q ) p q p )) because p q ≡ ¬ p q ≡ ( p q ) p ( p ¬ q )) by commutative laws ≡ ( p q ) ((¬ p p ) ¬ q ) by associative laws ≡ ( p q ) ( T ¬ q ) by negation laws ≡ ( p q ) T by domination laws ≡ ¬ ( p q ) T because p q ≡ ¬ p q T by domination laws Q.E.D.

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 02/12/2012 for the course EECS 203 taught by Professor Yaoyunshi during the Spring '07 term at University of Michigan.

### Page1 / 18

answers1 - EECS 203 Fall 2010 Midterm Exam 1 (70 points)...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online