About Number System

Question 1

What is a number system?

Answer 1

A number system is a writing system for expressing numbers; it is a mathematical notation for representing numbers of a given set, or a system of symbols for encoding numerical values.

Question 2

True or False: The decimal system is base 10.

Answer 2

True

Question 3

Fill in the blank: The binary number system is base __.

Answer 3

2

Question 4

What are the two symbols used in the binary system?

Answer 4

0 and 1

Question 5

What is the hexadecimal number system?

Answer 5

A number system that uses base 16, utilizing the digits 0-9 and the letters A-F.

Question 6

Which number system is commonly used in computer science?

Answer 6

Binary number system

Question 7

Convert the binary number 1010 to decimal.

Answer 7

10

Question 8

True or False: The octal number system is base 8.

Answer 8

True

Question 9

What is the main advantage of using the decimal system?

Answer 9

It is intuitive and widely used in everyday life.

Question 10

What is the range of digits in the decimal number system?

Answer 10

0 to 9

Question 11

Multiple Choice: Which of the following is NOT a number system? A) Decimal B) Binary C) Alphabet D) Hexadecimal

Answer 11

C) Alphabet

Question 12

What is the largest single digit in the hexadecimal system?

Answer 12

F

Question 13

Fill in the blank: In the binary system, the number 1101 represents the decimal number __.

Answer 13

13

Question 14

What does the term ‘base’ refer to in number systems?

Answer 14

The number of unique digits, including zero, used to represent numbers in a given system.

Question 15

True or False: The octal system uses the digits 0-7.

Answer 15

True

Question 16

What is the purpose of number systems in mathematics?

Answer 16

To provide a way to represent and manipulate numerical values.

Question 17

Multiple Choice: Which base is used in the decimal system? A) 2 B) 8 C) 10 D) 16

Answer 17

C) 10

Question 18

What is a positional number system?

Answer 18

A system where the position of a digit in a number determines its value.

Question 19

Fill in the blank: The decimal number system is also known as the __ system.

Answer 19

base 10

Question 20

What is the value of the hexadecimal number ‘A’ in decimal?

Answer 20

10

Question 21

True or False: The binary number system can only represent two values.

Answer 21

True

Question 22

What is a common application of the hexadecimal system?

Answer 22

Used in computer programming and digital electronics.

Question 23

Multiple Choice: How many digits are in the binary system? A) 2 B) 8 C) 10 D) 16

Answer 23

A) 2

Question 24

What is the decimal equivalent of the octal number 17?

Answer 24

15

Question 25

Fill in the blank: The hexadecimal number system uses __ unique symbols.

Answer 25

16

Question 26

What is the significance of zero in number systems?

Answer 26

It serves as a placeholder and represents the absence of a value.