In Boolean Algebra B, for all x , y in B , x + (x . y ) =
y
x
1
0
A NOT gate is the Boolean function defined by
f(x) = x, x ∈ {0, 1}
f (x) = x', x ∈ {0, 1}
f (x) = x + x', x ∈ {0, 1}
None of these
In Boolean Algebra unit element 1
has two values
is unique
has atleast two values
If a, b, c are elements of a Boolean Algebra, then a . b + c (a' + b' ) = ___________.
a . b + c
a + b . c
a'. b + c
a + b + c
An OR gate is the Boolean function defined by
f (x1, x2) =x1, x2, x1, x2 ∈ {0, 1}
f (x1, x2) = x1 + x2, x1, x2 ∈ {0, 1}
f (x1, x2) = x1 x1, x2 ∈ {0,1}
f (x1 x2) = x2 x1 x2 ∈ {0,1}
For any element a , b in a Boolean Algebra (a + b)' = ___________.
a + b
al + bl
a'b'
ab
For any element a, b in a Boolean Algebra, (a b)'=
a'+ b'
a' b'
a b
In a Boolean Algebra , a ∨ (a' ∧ b ) = _________.
a ∨ b
a ∧ b
a' ∨ b
Assuming aa'= 0 and a + a' =1for any element a in Boolean Algebra, then a + a = ___________.
a
In a Boolean Algebra ,for all x in B , (x' )' =
x'
