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Worksheets

Binary Systems, Boolean Algebra and Logic Gates

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

The binary equivalent of decimal number 13 is:

a)

1100

b)

1110

c)

1101

d)

1011

2.

Which of the following represents the hexadecimal number ‘A’?

a)

10

b)

11

c)

12

d)

13

3.

Convert (1011)_2 to decimal:

a)

10

b)

11

c)

13

d)

15

4.

Which is the 1’s complement of (01011001)_2?

a)

10100111

b)

01011000

c)

10100110

d)

11111111

5.

Which of the following is an example of a non-weighted code?

a)

BCD

b)

Excess-3

c)

Gray code

d)

Octal code

6.

Which code is used for error detection in digital systems?

a)

Gray code

b)

Parity bit

c)

ASCII code

d)

BCD

7.

In Binary Coded Decimal (BCD), decimal 9 is represented as:

a)

1001

b)

1001

c)

1010

d)

1100

8.

Which of the following is NOT a basic logic gate?

a)

AND

b)

OR

c)

NOT

d)

XNOR

9.

The NOT gate is also known as a:

a)

Buffer

b)

Inverter

c)

Repeater

d)

Adder

10.

Which gate gives a HIGH output only when all inputs are LOW?

a)

AND

b)

OR

c)

XOR

d)

NOR

11.

Which of the following is the Identity Law in Boolean Algebra?

a)

A + 0 = A

b)

A + A = A

c)

A + A’ = 1

d)

A · 1 = 1

12.

De Morgan’s Theorem: (A·B)’ = ?

a)

A + B

b)

A’ + B’

c)

A’ + B’

d)

A’·B’

13.

Which of the following expressions is in canonical SOP form?

a)

A + BC

b)

A’B’C + AB’C’

c)

A(A + B)

d)

AB + C

14.

Which of the following is a minterm of three variables A, B, C?

a)

A + B + C

b)

A · B

c)

A’B’C

d)

AB + C

15.

How many minterms are possible with 4 variables?

a)

8

b)

16

c)

32

d)

64

16.

The logic gate that outputs 1 only if an odd number of inputs are 1 is:

a)

NOR

b)

NAND

c)

XOR

d)

AND

17.

Which of the following gates is universal?

a)

OR

b)

NAND

c)

XOR

d)

NOT

18.

The output of an OR gate is LOW when all inputs are:

a)

0

b)

1

c)

Equal

d)

Don’t care

19.

In Boolean algebra, the operation A + A is equal to:

a)

0

b)

A

c)

A’

d)

1

20.

Boolean algebra is primarily used in:

a)

Arithmetic computation

b)

Programming languages

c)

Digital circuits

d)

Statistical analysis