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Worksheets

Boolean Algebra

Total questions: 39

Worksheet time: 20mins

Name
Class
Date
1.
X . X
a)
0
b)
1
c)
X
d)
__
 X
2.
X + X
a)
0
b)
1
c)
X
d)
__
X
3.
X + 0
a)
X
b)
__
X
c)
0
d)
1
4.
       __
X . X
a)
0
b)
1
c)
X
d)
__
X
5.
A . B 
is the same as
a)
B . A
b)
A . A
c)
B . B
d)
A + B
6.
__     __
A  .   B
is the same as
a)
_______
A + B
b)
A . B
c)
B . A
d)
______
A . B
7.
X . ( Y . Z )
is the same as 
a)
X . Y + Z
b)
( X + Y ) + Z
c)
( X . Y ) . Z
d)
( X . Z ) + Y
8.
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 )
9.
_____
A . B
a)
__    __
A + B
b)
__   __
A . B
c)
( A . B )
d)
( A + B )
10.

How many different combinations of 1 and 0 are possible with 3 bits?

a)

2

b)

4

c)

6

d)

8

11.

A NAND gate is called a universal logic element because

a)

All digital computers use NAND gates

b)

All the minimisation techniques are applicable for optimum NAND gate realisation

c)

Everybody use this gate

d)

Any logic function can be realized by NAND gates alone

12.

Which of the following is equivalent to a NOT gate?

a)
b)
c)
13.

If a input signal a=11100 is applicable to a NOT gate ,its output signal is

a)

00011

b)

01001

c)

00011

d)

1000

14.

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

a)

1

b)

2

c)

3

d)

4

15.

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

a)

1

b)

A4

c)

4A

d)

A

16.

In Boolean algebra AND is represented by

a)

/

b)

-

c)

×

d)

+

17.

Boolean algebra can be used to

a)

simplify any algebraic expression

b)

Minimize number of switches in a circuit

c)

Solve the mathematical problem

d)

perform arithmetic calculation

18.

NAND gate means

a)

Inversion followed by AND gates

b)

AND gates followed by an inverter

c)

AND gate followed by an OR Gate

d)

None

19.

In Boolean Algebra A + 1 =?

a)

0

b)

1

c)

A

d)

None

20.

According to the associative law of addition,

a)

A + B = B + A

b)

A = A + A

c)

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

d)

A + 0 = A

21.

Indempotence Law states that (write both laws)

(a)  

22.

X'' = ?

a)

X'

b)

X

c)

X + X

23.

Commutative Law related to OR operator states that

(a)  

24.

Associative Law states that

a)

X + (Y+Z)= (X+Y ) + Z

b)

X.(YZ) =(XY).Z

c)

X + Y = Y +X

d)

XYZ.XYZ = XYZ

25.

One Property of 0 is

(a)  

26.

In a boolean expression if X is not 0,it will be

a)

X

b)

1

c)

X'

27.

Which property: A+B = B+A or A * B = B*A

a)

Associative

b)

Distributive

c)

Commutative

d)

Bermuda Triangle

28.

A + 0 =

a)

A

b)

1

c)

0

d)

My little pony

e)

~A

29.

A + 1 =

a)

1

b)

0

c)

A

d)

A pair of smelly sneakers

e)

~A

30.

A + ~A =

a)

A

b)

1

c)

0

d)

A purple rock

31.

A + A =

a)

0

b)

A

c)

1

d)

A poisonous dart frog

32.

~A + ~A =

a)

A

b)

~A

c)

1

d)

0

e)

Tinkerbell

33.

~ (~A) =

a)

A

b)

~A

c)

1

d)

0

e)

Ugly muffins

34.

(1 + A + A) =

a)

A

b)

~A

c)

1

d)

0

e)

Dirty dishes

35.

(1 + A + B) =

a)

A

b)

~A

c)

B

d)

~B

e)

1

36.

A * 0 =

a)

A

b)

~A

c)

1

d)

0

e)

LA Dodgers

37.

~A + 1 =

a)

A

b)

~A

c)

1

d)

0

e)

Silly string

38.

A * A

a)

A

b)

~A

c)

1

d)

0

e)

Dirty diapers

39.

A * (B + C) = A* B + A * C

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

No one's property