Boolesche Algebra Flashcards

1
Q

Was sagt das Kommutativgesetz

A

ab = ba

a+b = b+a

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2
Q

Was sagt das Assoziativgesetz

A

a(bc)=ab(c)

a+(b+c) = (a+b)+c

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3
Q

Was sagt das Distributivgesetz

A

a(b+c) = ab+ac

a+(bc) = (a+b)(a+c)

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4
Q

Was ist die Priorität von und, oder, nicht

A
  1. nicht
  2. und
  3. oder
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5
Q

Was sagt das Identitätsgesetz

A

1a = a

a+0 = a

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6
Q

Was sagt das Kompelementärgesetz

A

a · ¬a = 0

a + ¬a = 1

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7
Q

Was sagt das Idempotenzgesetze

A

aa = a

a+a=a

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8
Q

Was sagt das Verschmelzungsgesetz

A

a(a+b)=a

a+ab=a

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9
Q

Was sagt das De Morgan’sche Gesetz

A

¬(ab) = ¬a+¬b

¬(a+b) = ¬a · ¬b

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10
Q

Formel von XOR

A

(a¬b)+(¬ab)

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11
Q

ANSI Bild Negation

A
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12
Q

Ansi Bild Treiber

A
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13
Q

Ansi Bild And

A
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14
Q

Ansi Bild Or

A
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15
Q

Ansi Bild NAND

A
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16
Q

Ansi Bild Nor

A
17
Q

Ansi Bild Xor

A
18
Q

Ansi Bild Xnor

A
19
Q

Formel Xnor (Äquivalenz)

A

(¬a¬b)+(ab)

20
Q
A