010_2007_midterm

010_2007_midterm - CS3234 Logic and Formal Systems Midterm...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: CS3234 Logic and Formal Systems Midterm Examination Questions 20/09/2007 This examination question booklet has 6 pages, including this cover page, and contains 17 questions. Answer all questions. All questions have equal weight. You have 45 minutes to complete the examination. Use a B2 pencil to fill up the provided MCQ form. Leave Section A blank. Fill up Sections B and C. After finishing, place the MCQ sheet on top of the question sheet and leave both on the table, when you exit the room. 1 Question 1 : In ternary logic, there are three truth values instead of the usual two values T and F as in boolean logic. How many different binary relations exist in ternary logic? 1 a3 a2 a0 a1 A 2 2 3 = 256 1 a3 a2 a0 a1 B 2 3 2 = 512 1 a3 a2 a0 a1 C 3 2 3 = 6561 1 a3 a2 a0 a1 D 3 3 2 = 19683 1 a3 a2 a0 a1 E None of the above Answer 1 : 1 a3 a2 a0 a1 D There are 3 2 rows in each truth table. For each row in each truth table, there are 3 values to pick from. Thus there are 3 3 2 truth tables. Question 2 : Is there a formula in the propositional calculus A = A 1 op A 2 where op is a boolean operator and A 1 and A 2 are valid formulas, such that A is unsatisfiable? 2 a3 a2 a0 a1 A Yes 2 a3 a2 a0 a1 B No Answer 2 : 2 a3 a2 a0 a1 A Example: A 1 A 2 Question 3 : Is there a formula in the propositional calculus A = A 1 op A 2 where op is a boolean operator and A 1 and A 2 are valid formulas, such that A is satisfiable and falsifiable?...
View Full Document

This note was uploaded on 02/23/2010 for the course CS CS5209 taught by Professor Jay during the Three '10 term at Bond College.

Page1 / 8

010_2007_midterm - CS3234 Logic and Formal Systems Midterm...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online