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x OR y = y OR x


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x OR y OR z = (x OR y) OR z = x OR (y OR z)


AND : x AND y = F

0 AND 0 = 0
0 AND 1 = 0
1 AND 0 = 0
1 AND 1 = 1


OR : x OR y = F

0 OR 0 = 0
0 OR 1 = 1
1 OR 0 = 1
1 OR 1 = 1


Inverter : !x = F

!0 = 1
!1 = 0


Buffer : x = F

0 = 0
1 = 1


NAND : x NAND y = !(x AND y) = F

0 NAND 0 = 1
0 NAND 1 = 1
1 NAND 0 = 1
1 NAND 1 = 0


NOR : x NOR y = !(x OR y) = F

0 NOR 0 = 1
0 NOR 1 = 0
1 NOR 0 = 0
1 NOR 1 = 0


XOR(Exclusive-OR) : x XOR y = (x AND !y) OR (!x AND y) = F

0 XOR 0 = 0
0 XOR 1 = 1
1 XOR 0 = 1
1 XOR 1 = 0


Exclusive-NOR : x XNOR y = !(x XOR y) = (x AND y) OR (!x AND !y) = F

0 XNOR 0 = 1
0 XNOR 1 = 0
1 XNOR 0 = 0
1 XNOR 1 = 1

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