CSC270 Homework 1

(c) --D. Thiebaut 22:01, 28 January 2009 (UTC)
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This assignment is due on Wednesday evening, at the beginning of Lab 2.

Problem 1

Assume that we define a Boolean Algebra where the two values possible are { α, β }, and where the operators are U, T, and NOT.

The U operator has the following truth table:

x	y	x U y
α	α	α
α	α	α
α	α	α
α	α	β

The T operator has the following truth table:

x	y	x T y
α	α	α
α	α	β
α	α	β
α	α	β

1. Which of these assertions is true?

• • α is 1, β is 0, U is the AND operator, and T the OR operator
  • α is 0, β is 1, U is the OR operator, and T is the AND operator

Be sure to explain why one assertion is true, or why it is false!