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Boolean Logic Truth Tables
First fill out all the possible inputs for a table (to the left of the dark
line), then fill in the other columns.
Remember:
p and q is True only if both p and q are True.
p or q is True if either p or q are True.
p xor q is True is either p or q are True, but not both.
p
F
F
T
T
q
F
T
F
T
¬p
p
q
¬p
¬p and q
¬q
¬p or ¬q
p
q
¬q
p
q
¬q
p xor ¬q
p xor ¬q
(p xor ¬q) and p
p
q
r
q and r
p or r
¬(p or r)
(q and r) or ¬(p or r)
p
q
r
p xor q
p xor r
¬(p xor q)
¬(p xor q) and (p xor r)