WGU C959 Unit 3

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Boolean algebra

Last updated 10:39 PM on 9/1/26
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18 Terms

1
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Idempotent law

x + x = x; x*x = x

2
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Identity law

x + 0 = x; x*1 = x. (p v F = p; p ∧ T = p)

3
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Domination law

x + 1 = 1; x * 0 = 0. (p v T = T; p ∧ F = F)

4
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Complement law

x + x’ = 1; xx’ = 0. (p v p’ = T; p ∧ p’ = F)

5
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Absorption law

x = (xy) = x; x(x+y) = x. (p∧ pvq = p; p v p∧q = p)

6
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CNF

AND of ORs

7
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DNF

OR of ANDs

8
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↑

NAND

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↓

NOR

10
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x + x

x

11
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x * x

x

12
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x + 0

x

13
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x + 1

1

14
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x * 0

0

15
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x + x’

1

16
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xx’

0

17
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x + (xy)

x

18
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x(x+y)

x