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Home › Blogs › JADELottery's Blog › Boolean Math with Common Math

Boolean Math with Common Math

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Using only 0 and 1 as a number.

A = {0, 1} ; B = {0, 1}

(Not A) = 1 - A

A Not A
0 1
1 0

 

(A And B) = A × B

A B A And B
0 0 0
0 1 0
1 0 0
1 1 1

 

(A Or B) = A - (A × B) + B

A B A Or B
0 0 0
0 1 1
1 0 1
1 1 1

 

(A Xor B) = A - (A × B) - (A × B) + B

A B A Xor B
0 0 0
0 1 1
1 0 1
1 1 0

 

(A Xnor B) = 1 - A + (A × B) + (A × B) - B

A B A Xnor B
0 0 1
0 1 0
1 0 0
1 1 1
Entry #3,166

Comments

Avatar JADELottery -
#1
A And B And C ?
Avatar JADELottery -
#2
(A And B And C) = A x B x C
Avatar JADELottery -
#3
A Or B Or C ?
Avatar JADELottery -
#4
(A Or B Or C) = A - (A x B) + B - (B x C) + C - (A x C) + (A x B x C)
Avatar onlymoney -
#5
I say it's (AB) = B + A (C) - B (C) + (BC) x A - B= ?

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