Digital Systems Binary Algebra Theorems

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19 Terms

1
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X+0

X

2
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X+1

1

3
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X.1

X

4
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X.0

0

5
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X.X

X

6
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X+X

X

7
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(X’)’

X

8
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X.X’

0

9
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X+X’

1

10
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X + YZ

(X+Y).(X+Z)

11
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XY + XY’

X

12
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X + XY

X

13
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X(1+Y)

X

14
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XY + Y’

X + Y’

15
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DeMorgan’s 1st Law

(A+B)’ = A’B’

16
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DeMorgan’s 2nd Law

(AB)’ = A’ + B’

17
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XOR

AB’ + A’B

18
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(X+Y).(X’+Z)

19
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X + YZW

(X+Y)(X+Z)(X+W)