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Understanding Number Systems in IT

Authored by S Uwadiae

Information Technology (IT)

11th Grade

Used 1+ times

Understanding Number Systems in IT
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12 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the binary equivalent of the decimal number 10?

1000

1010

1100

1110

Answer explanation

The binary equivalent of the decimal number 10 is 1010. This is derived by converting 10 into binary, where 8 (2^3) + 2 (2^1) = 10, resulting in the binary representation 1010.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a characteristic of the binary number system?

It uses digits 0 to 9.

It is base 8.

It uses digits 0 and 1.

It is base 16.

Answer explanation

The binary number system is characterized by using only two digits: 0 and 1. This distinguishes it from other systems like decimal (0-9), octal (base 8), and hexadecimal (base 16). Thus, the correct choice is 'It uses digits 0 and 1.'.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the decimal number 25 to binary.

11001

10101

11100

10011

Answer explanation

To convert 25 to binary, divide by 2 and record the remainders. 25 ÷ 2 = 12 R1, 12 ÷ 2 = 6 R0, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1. Reading the remainders from bottom to top gives 11001, which is the correct binary representation.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the hexadecimal equivalent of the binary number 1011?

9

A

B

C

Answer explanation

The binary number 1011 converts to decimal 11. In hexadecimal, 11 is represented as B. Therefore, the correct answer is B.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many bits are there in a byte?

4

8

16

32

Answer explanation

A byte consists of 8 bits. This is a standard unit of digital information storage, making 8 the correct answer.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Convert the decimal number 255 to hexadecimal.

FF

1F

F0

0F

Answer explanation

To convert 255 to hexadecimal, divide by 16. 255 ÷ 16 = 15 remainder 15. The quotient (15) is F and the remainder (15) is also F. Thus, 255 in hexadecimal is FF.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal equivalent of the binary number 1111?

14

15

16

17

Answer explanation

To convert the binary number 1111 to decimal, calculate: 1*2^3 + 1*2^2 + 1*2^1 + 1*2^0 = 8 + 4 + 2 + 1 = 15. Thus, the decimal equivalent of 1111 is 15.

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