MCQ Questions

Question No. 1

Write each of the following numbers in expanded notation, using powers of 10.

Answer :

a) 169

b) 9 028

c) 28 003

d) 405 291

Question No. 2

Write each of the following expanded numbers in decimal form.

Answer :

a) 6 × 10³ + 4 × 10² + 7 × 10¹ + 3 × 10⁰

b) 4 × 10⁴ + 3 × 10³ + 2 × 10² + 1 × 10¹

c) 9 × 10⁵ + 2 × 10⁴ + 6 × 10³ + 8 × 10¹ + 5 × 10⁰

d) 7 × 10⁴ + 2 × 10⁶ + 8 × 10²

Question No. 3

Convert each of the following base 4 numbers to base 10.

Answer :

a) 23₄

b) 120₄

c) 2103₄

d) 31211₄

Question No. 4

Convert each of the following base 10 numbers to base 4.

Answer :

a) 15

b) 64

c) 396

d) 2781

Question No. 5

Convert each of the following base 5 numbers to base 10.

Answer :

a) 42₅

b) 130₅

c) 432₅

d) 3103₅

Question No. 6

Convert each of the following base 10 numbers to base 5.

Answer :

a) 25

b) 60

c) 492

d) 9028

Question No. 7

Convert each of the following base 8 numbers to base 10.

Answer :

a) 63₈

b) 215₈

c) 774₈

d) 3560₈

Question No. 8

Convert each of the following base 10 numbers to base 8.

Answer :

a) 64

b) 189

c) 3802

d) 12983

Question No. 9

Convert each of the following base 16 numbers to base 10.

Answer :

a) 39₁₆

b) 2A6₁₆

c) D8E₁₆

d) BC04₁₆

Question No. 10

Convert each of the following base 10 numbers to base 16.

Answer :

a) 17

b) 529

c) 4444

d) 11626

Question No. 11

Convert each of the following base 2 numbers to base 10.

Answer :

a) 111₂

b) 1 110₂

c) 10 111₂

d) 101 101₂

e) 110 001₂

f) 1 001 010₂

g) 11 011 111₂

h) 1 001 110 011₂

Question No. 12

Convert each of the following bicimals to decimals.

Answer :

a) 0.1₂

b) 1.01₂

c) 10.011₂

d) 11.1011₂

e) 101.00001₂

f) 111.01011₂

g) 1010.01101₂

h) 1011.110011₂

Question No. 13

Convert each of the following fractions to decimals. Round your answers off to four decimal places, where necessary.

Answer :

a) 3.2₄

b) 12.03₄

c) 4.21₅

d) 31.413₅

e) 5.73₈

f) 24.064₈

g) 9.E8₁₆

h) 1C.8A₁₆

Question No. 14

Convert 32 310₄ to:

Answer :

a) base 5

b) base 8

c) base 16

Question No. 15

Convert 2 041₅ to:

Answer :

a) base 4

b) base 8

c) base 16

Question No. 16

Convert 5 720₈ to:

Answer :

a) base 4

b) base 5

c) base 16

Question No. 17

Convert CE8₁₆ to:

Answer :

a) base 4

b) base 5

c) base 8

Question No. 18

Do the following additions.

Answer :

b) 233₄ + 102₄

c) 234₅ + 210₅

d) 1043₅ + 324₅

e) 571₈ + 104₈

a) 201₄ + 131₄

f) 1205₈ + 736₈

g) 27D₁₆ + 421₁₆

h) 3AC₁₆ + 546₁₆

Question No. 19

Do the following subtractions.

Answer :

a) 333₄ − 132₄

b) 311₄ − 123₄

c) 2413₅ − 1303₅

d) 342₅ − 230₅

e) 764₈ − 324₈

f) 5107₈ − 264₈

g) 1E9₁₆ − 1D8₁₆

h) C23₁₆ − A0C₁₆

Question No. 20

Do the following multiplications.

Answer :

a) 321₄ × 20₄

b) 230₄ × 101₄

c) 342₅ × 4₅

d) 1423₅ × 12₅

e) 65₈ × 14₈

f) 501₈ × 33₈

g) 20B₁₆ × C₁₆

h) 1DF₁₆ × 21₁₆

Question No. 21

Do the following divisions.

Answer :

a) 123₄ ÷ 3₄

b) 231₄ ÷ 21₄

c) 341₅ ÷ 4₅

d) 510₅ ÷ 111₅

e) 102₈ ÷ 20₈

f) 245₈ ÷ 17₈

g) 8C₁₆ ÷ 4₁₆

h) 58D₁₆ ÷ 31₁₆

Question No. 22

Translate each of the 16 bit strings below into octal (base 8).

Answer :

a) 0110100011001111

b) 1101110000010001

c) 1010011001111011

Question No. 23

Why do you think it can be more convenient to represent data in octal or hexadecimal than in binary?

Answer :

Question No. 24

Use this table of ASCII code to find the missing words in the sentences below

Answer :

a) Computer equipment is called 110101122104127101122105 (base 8).

b) Programs and data are called 534F465457415245 (base 16).

c) Information stored on a computer is called 104101124101 (base 8).

d) To enter data into a computer, you can use a 4B4559424F415244 (base 16).

e) To display data that is in a computer, you can use a 123103122105105116 (base 8) or a 5052494E544552 (base 16).

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