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Cards (15)
Boolean algebra
How computers use binary for
calculations
and
logic
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Binary values
Can represent whether a
statement
is either true or
false
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Computers use
binary
because it's easy to build electronic
circuits
with just
two
states, and it's easier to store data of two states
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Boolean logic symbols
Not
And
Or
Xor
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Not
Reverses
the input, so if a is 0 the output is 1, and if a is 1 the output is
0
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And (
conjunction
)
If both inputs a and b are
1
or true, the output is
1
or true, otherwise the output is 0 or false
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Or (
disjunction
)
If either a or b are
1
or true, the output is 1 or true, otherwise the output is
0
or false
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Xor (
exclusive
/ disjunction)
If either a or b are 1 or true, but not both, the output is 1 or true, otherwise the output is 0 or false
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Equivalence
Means the same as, represented by a
triple
equals or double-headed arrow
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NOT gate
Reverses
the input, so if the input is
0
(false/off), the output is
1
(true/on), and vice versa
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AND gate
Output is
true
if both inputs are true, otherwise the output is
false
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OR gate
Output is true if at least one of the inputs is
true
, otherwise the output is
false
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XOR gate
Output is
true
if one and only one of the inputs is
true
, otherwise the output is false
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NAND gate
Reverses
the output of an
AND
gate
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NOR gate
Reverses
the output of an
OR
gate
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