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
2
Q
an input OR ( + ) its complement is always ( X + X’ )
A
true ( 1 )
3
Q
X + 0 =
A
X
4
Q
X * 1 =
A
X
5
Q
X + 1 =
A
1
6
Q
X * 0 =
A
0
7
Q
X + X =
A
X
8
Q
X * X =
A
X
9
Q
X + X’ =
A
1
10
Q
X * X’ =
A
0
11
Q
what does + represent
A
or
12
Q
what does * represent
A
and
13
Q
X ‘ ‘ =
A
X
14
Q
X + Y =
A
Y + X
15
Q
X * Y =
A
Y * X
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’
