Boolean Identities Flashcards

1
Q

Which is unique out of the three and why: Binary Circuit, Binary Expression, or Truth Table

A

Truth table because there can only be one representation

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2
Q

an input OR ( + ) its complement is always ( X + X’ )

A

true ( 1 )

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3
Q

X + 0 =

A

X

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4
Q

X * 1 =

A

X

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5
Q

X + 1 =

A

1

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6
Q

X * 0 =

A

0

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7
Q

X + X =

A

X

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8
Q

X * X =

A

X

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9
Q

X + X’ =

A

1

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10
Q

X * X’ =

A

0

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11
Q

what does + represent

A

or

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12
Q

what does * represent

A

and

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13
Q

X ‘ ‘ =

A

X

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14
Q

X + Y =

A

Y + X

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15
Q

X * Y =

A

Y * X

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16
Q

X + ( Y + Z ) =

A

( X + Y ) + Z

17
Q

X * ( Y * Z ) =

A

( X * Y ) * Z

18
Q

( X + Y ) ‘

A

X ‘ Y’

19
Q

( XY ) ‘

A

X’ + Y’

20
Q

De Morgans Law

A

( X + Y ) ‘ = X’ * Y’
( X Y )’ = X’ + Y’