Free Printable Boolean algebra

1.

Match the following

a)

A + A =

1.

A

b)

A + 1 =

2.

1

c)

A . 0 =

3.

0

2.

A . A =

a)

A

b)

1

c)

0

3.

A . 0 =

a)

A

b)

1

c)

0

4.

A . 1 =

a)

A

b)

1

c)

0

5.

a)

= X + Y

b)

= X . Y

c)

=0

d)

=1

6.

a)

= X + Y

b)

= X . Y

c)

=0

d)

=1

7.

a)

= A

b)

= NOT A

c)

=0

d)

=1

8.

a)

= A

b)

= NOT A

c)

=0

d)

=1

9.

a)

A

b)

NOT A

c)

1

d)

0

10.

a)

=NOT(A.B)

b)

=NOT A . B

c)

=1

d)

=0

11.

a)

X + Y

b)

Y . X

c)

1

d)

0

12.

X + X Y =

a)

X

b)

X.Y

c)

(X.Y)

d)

(X+Y)

e)

1

13.

X . (X + Y) =

a)

X

b)

X.Y

c)

(X.Y)

d)

(X+Y)

e)

1

14.

X . X

a)

0

b)

1

c)

X

d)

__
X

15.

__ __
A . B
is the same as

a)

_______
A + B

b)

A . B

c)

B . A

d)

______
A . B

16.

__ __
A . B
is the same as

a)

_______
A + B

b)

A . B

c)

B . A

d)

______
A . B

17.

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 )

18.

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

19.

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

20.

In Boolean expression A+AB simplifies ____

a)

A

b)

B

c)

A+B

d)

1

21.

X . ( Y . Z )
is the same as

a)

X . Y + Z

b)

( X + Y ) + Z

c)

( X . Y ) . Z

d)

( X . Z ) + Y

22.

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 )

23.

_____
A . B

a)

__ __
A + B

b)

__ __
A . B

c)

( A . B )

d)

( A + B )

24.

( 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

25.

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

a)

1

b)

A⁴

c)

4A

d)

A

26.

X + XY = ?

a)

X+ Y

b)

X

c)

Y

d)

None

27.

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

a)

A + DC + AD

b)

A + DC

c)

DC

d)

none

28.

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

29.

In Boolean Algebra A + 1 =?

a)

0

b)

1

c)

A

d)

None

30.

Which law of Boolean algebra emphasizes the elimination of brackets from logical expression along with the re-arrangement of grouping variables ?

a)

Distributive Law

b)

Commutative Law

c)

Associative Law

d)

None

31.

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

32.

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

33.

X . X

a)

0

b)

1

c)

X

d)

__
X

34.

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

a)

Associative

b)

Distributive

c)

Commutative

d)

Bermuda Triangle

35.

B + C ⋅ 1 =

a)

1

b)

B + C

c)

B . C

36.

Which one is a boolean identity?

a)

1.A = A

b)

1 + A = A

c)

A + A' = A

d)

A.A' =A

e)

A' + 1 = A

37.

Which one is a boolean identity?

a)

0 + A = A

b)

1 + A = A

c)

A + A' = A

d)

A.A' =A

e)

A' + 1 = A

38.

Which one is a boolean identity?

a)

0.A = 0

b)

1.A=1

c)

1.A' = A

d)

A.A' =A

e)

A' + 1 = A

39.

Which one is a boolean identity?

a)

A.A =A

b)

A.A'=A

c)

A + A' = A

d)

A.A' =1

e)

A' + 1 = A

40.

Which one is a boolean identity?

a)

A + A = A

b)

1 + A = A

c)

A + A' = A

d)

A.A'=1

e)

A' + 1 = A

41.

Which one is a boolean identity?

a)

A.A'=0

b)

A.A'=A

c)

A + A' = A

d)

A.A'=1

e)

A' + 1 = A

42.

Which one is a boolean identity?

a)

A.B = B.A

b)

A.B = A

c)

A.B = B

d)

A.B = A+ B

43.

Which one is a boolean identity?

a)

A + B = B + A

b)

A + B = A

c)

A + B = A.B

d)

A + B = A' + B'

44.

Which one is a boolean identity?

a)

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

b)

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

c)

A.(B.C) = A'.(B'.C')

d)

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

45.

Which one is a boolean identity?

a)

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

b)

A + B.C = A.B + C

c)

A + B.C = A.B.C

d)

A + B.C = A + B + C

46.

Which one is a boolean identity?

a)

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

b)

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

c)

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

d)

A.(B + C)= 1

47.

Which one is a boolean identity?

a)

A.(A+B) = A

b)

A.(A+B) = B

c)

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

d)

A.(A+B) = A+B

48.

Which one is a boolean identity?

a)

A + A.B = A

b)

A.(A+B) = B

c)

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

d)

A.(A+B) = A+B

49.

Which one is De Morgan's law?

a)

(A+B)' = A'.B'

b)

(A + B)' = (A.B)'

c)

(A + B)' = A' + B'

d)

(A.B)' = A'.B'

50.

Which one is De Morgan's law?

a)

(A.B)'= A'+ B'

b)

(A + B)' = (A.B)'

c)

(A + B)' = A' + B'

d)

(A.B)' = A'.B'

51.

X . X

a)

0

b)

1

c)

X

d)

__
X

52.

X + X

a)

0

b)

1

c)

X

d)

__
X

53.

X + 0

a)

X

b)

__
X

c)

0

d)

1

54.

__
X . X

a)

0

b)

1

c)

X

d)

__
X

55.

A . B
is the same as

a)

B . A

b)

A . A

c)

B . B

d)

A + B

56.

__ __
A . B
is the same as

a)

_______
A + B

b)

A . B

c)

B . A

d)

______
A . B

57.

X . ( Y . Z )
is the same as

a)

X . Y + Z

b)

( X + Y ) + Z

c)

( X . Y ) . Z

d)

( X . Z ) + Y

58.

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 )

59.

_____
A . B

a)

__ __
A + B

b)

__ __
A . B

c)

( A . B )

d)

( A + B )

60.

( 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

61.

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

62.

What kind of gate does this Truth Table represent?

a)

NOR

b)

NOT

c)

OR

d)

XOR

63.

What will the circuit's output be?

a)

1

b)

0

64.

What logic gate is this?

a)

AND

b)

OR

c)

NOT

d)

TO

65.

What logic gate is this?

a)

AND

b)

OR

c)

NOT

d)

THE

66.

What logic gate is this?

a)

OR

b)

NOT

c)

AND

d)

THE

67.

What gate is this truth table for?

a)

AND

b)

OR

c)

NOT

d)

THE

68.

What gate is this table for?

a)

AND

b)

OR

c)

NOT

d)

NOR

69.

What gate is this table for?

a)

AND

b)

XOR

c)

OR

d)

NOT

70.

Which logic gate is this?

a)

AND

b)

NOR

c)

NOT

d)

OR

71.

Which logic gate is this?

a)

AND

b)

OR

c)

XOR

d)

NOT

72.

AND Gate:
IF A and B are ON, the output would be...

a)

ON

b)

OFF

73.

How many inputs of an AND gate need to be 1 to output 1?

a)

3

b)

1

c)

2

d)

none

74.

A truth table lists every possible combination of input and the resulting output

a)

True

b)

False

75.

NOT A = Q, if A equals 1 what does Q equal?

a)

0

b)

1

76.

If A (top switch) and B (bottom switch) are the inputs In this circuit, what combo would cause the bulb to be on?

a)

A and B both off

b)

A on B off

c)

B on A off

d)

A and B both on

77.

If A (top switch) and B (bottom switch) are the inputs In this circuit, what combo would cause the bulb to be off?

a)

A and B both off

b)

A on B off

c)

B on A off

d)

A and B both on

78.

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

79.

Match the following

a)

1.

AND gate

b)

2.

OR gate

c)

3.

NOT gate

d)

4.

NAND gate

e)

5.

NOT gate

80.

Which logic gate is commonly represented by a "triangle with a dot"?

a)

NOT

b)

AND

c)

OR

d)

XOR

81.

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

82.

¬¬A =

a)

A

b)

1

c)

0

d)

¬A

83.

A ∧ A =

a)

A

b)

1

c)

0

d)

¬A

84.

Which of these diagrams is correct for an OR gate?

a)

b)

c)

85.

Which of the following scenarios is the only one where R would be 0 in this circuit?

a)

If all of the switches were on

b)

If all of the switches were off

c)

If half of the switches were on

d)

If only one of the switches were on

86.

In this circuit, if A and B were both 0, what would R be?

a)

0

b)

1

87.

Match the following gate symbols to their names.

a)

1.

AND

b)

2.

OR

c)

3.

NOT

d)

4.

XOR

88.

Match the following descriptions to the correct logic gate.

a)

NOT

1.

Output is True if the input is False.

b)

AND

2.

Output is True if both of the inputs are True.

c)

OR

3.

Output is True if at least one input is True.

d)

XOR

4.

Output is True if both of the inputs are different.

89.

If A was 1 and B was 0 in this circuit, what would Q be?

a)

0

b)

1

90.

A not gate accepts two inputs.

a)

true

b)

false

91.

The AND and OR gates produce opposite results for the same input.

a)

true

b)

false

92.

What will the circuit's output be?

a)

1

b)

0

Boolean algebra

Total questions: 92

Worksheet time: 50mins

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