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1.1. 개요

불(Boolean)대수의 기본정리
참고 영상

1.2. AND : x AND y = F

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

1.3. OR : x OR y = F

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

1.3.1. OR의 교환법칙

x OR y = y OR x

1.3.2. OR의 결합법칙

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

1.4. NOT(Inverter) : !x = F

!0 = 1
!1 = 0

1.5. Buffer : x = F

0 = 0
1 = 1

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

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

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

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

1.8. 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

1.9. 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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