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MATH 1630 - Outline for 3.3
3.3 - The Conditional Statement and Circuits
Definition:
Conditional Statement - If p, then q
(p = antecedent, q = consequent)
I. Truth Table for p fi q
p q p fiq
T T T
T F F
F T T
F F T
II. Determine the truth value of a compound statement using all 4 connectives (And,
Or, Not, If.then)
a.) qrp fi )~(
b.) )()( qprq fifi
III. Build truth tables for compound statements using all 4 connectives and be able
to determine a tautology
a.) pqp fifi )~ (
b.) )()( qpqp fi
IV. Negation of p fi q (this is the third type of negation that we will cover)
qpqp ~)(~ "fi
Note: the negation of If p, then q becomes p AND not q
V. Circuits
Key: Determine all of the paths through which electricity can flow, combine them
into a compound statement, and then simplify (see table on p.119).
...

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