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Boolean Algebra 2

Total questions: 25

Worksheet time: 16mins

Name
Class
Date
1.
A . ( B + C )
is the same as
a)
___________
A + B + C
b)
( A + B ) ( A + C)
c)
A . B . C
d)
( A . B ) + ( A . C )
2.
_____
A . B
a)
__    __
A + B
b)
__   __
A . B
c)
( A . B )
d)
( A + B )
3.

( A + B ) ( C + D )

is the same as

a)

AC + BD

b)

(A . B ) + ( C . D )

c)

A + B + C + D

d)

AC + AD + BC + BD

4.
X . X
a)
0
b)
1
c)
X
d)
__
 X
5.
X + X
a)
0
b)
1
c)
X
d)
__
X
6.

Which law is this an example of:

A(B+C) = (A.B)+(A.C)

A+(B.C) = (A+B).(A+C)

a)

Associative

b)

Commutative

c)

Absorption

d)

Distributive

7.

What is the Logic Expression for this circuit?

a)

Z = NOT (A AND B)

b)

Z = NOT (A OR B)

c)

Z = (NOT A) AND B

d)

Z = (NOT A) OR B

8.
What kind of gate does this Truth Table represent?
a)
NOR
b)
NOT
c)
OR
d)
XOR
9.

What will the circuit's output be?

a)

1

b)

0

10.

In Boolean expression A+AB simplifies ____

a)

A

b)

B

c)

A+B

d)

1

11.

In Boolean algebra A.A.A.A is equal to

a)

1

b)

A4

c)

4A

d)

A

12.

In the Boolean algebra, a variable has ________ different state(s)/value(s).

a)

1

b)

2

c)

3

d)

4

13.

X + XY = ?

a)

X+ Y

b)

X

c)

Y

d)

None

14.

In Boolean Algebra A + A + A + A =?

a)

A

b)

4A

c)

2A

d)

None

15.

In Boolean Algebra A + 1 =?

a)

0

b)

1

c)

A

d)

None

16.

(1 + A + A) =

a)

A

b)

AA

c)

1

d)

0

17.

(1 + A + B) =

a)

A

b)

~A

c)

B

d)

~B

e)

1

18.

A + (B * A) =

a)

A

b)

NOT A

c)

B

d)

1

19.

A * 0 =

a)

A

b)

NOT A

c)

1

d)

0

20.

( A + D ) ( A + C) = ?

a)

A + DC + AD

b)

A + DC

c)

DC

d)

none

21.

What is the expression for Y?

a)

(A+B).C

b)

A+B+C

c)

(A.B)+C

d)

A.B.C

22.

(A+B)(A+C)\left(A+B\right)\left(A+C\right)  



Simplify the expression

a)

A+BCA+BC  

b)

AC+ABAC+AB  

c)

A+B(A+C)A+B\left(A+C\right)  

23.

What is the output Y of this logic cricuit if A = 1, B = 1, and C = 1

a)

0

b)

1

24.

What is the output Y of this logic circuit if A = 1, B =0, and C = 1

a)

0

b)

1

25.

What is the output Z of this logic circuit if A = 1 and B = 1

a)

0

b)

1