Number System

A Number system is a group of structures that contain and define mathematical values. Numbers are values in arithmetic. Various types of number systems are decimal, binary, octal, and hexadecimal. There are plenty of categories that define these values such as prime numbers, co-prime numbers, whole numbers, even and odd numbers. Each of these numbers has been incorporated into different systems which have their own sets of properties. The number system is a fundamental part of mathematics and statistics. They provide different value systems for different kinds of numbers. Sets of numbers from 0-1 and 0-9 represent different number systems and values.

Number System

The number system is unique in this regard in that it can be both universal and regional. It is a form of writing system where mathematical values are expressed through symbols and mathematical notations. It is done consistently and logically. There is a noticeable trend in the value of the numbers as they move towards the left of 0. Examples of such numbers are:

• -1
• -2
• -3
• -4
• -5

Positive numbers are those numbers that fall on the right-hand side of the number line after 0. These numbers are used for addition. The value in this case increases as it moves right. Examples of such numbers are:

• 1
• 2
• 3
• 4
• 5

There are many kinds of the number system. Most commonly used are 7 types which include Radix, Binary, decimal, Octal, Binary coded decimal, complex number, hexadecimal, and integer. Here are some elements of a few of the number systems:

Binary	Octal	Decimal	Integer	Hexadecimal
Only has 2 digits which are 0 and 1	It has 8 digits and the base is 8	It is a number system that is mostly used by machines and the base is 10	These are rational numbers and it is denoted by z	This is a type of binary system whose base is 16

Number System Aptitude

Number system aptitude is important in understanding the numbers, their values, their types, and their places. Under number system aptitude the following elements can be studied:

• Numbers- 0,1,2 …9
• Place Values- Number value multiplied by 10n
• Number types- Even, Odd, Whole, Prime, Natural, Integers, Composites, and Co-prime

Number System Question

Here are some number system questions which might be useful for examinations and self-learning practices:

1. What is a positive number?

Anwer : Positive numbers are those numbers that fall on the right-hand side of the number line after 0. These numbers are used for addition. The value in this case increases as it moves right.

2. What is an integer?

Anwer : An integer is a number that can have either positive or negative values. It is a fraction. It is denoted by z.

3. What is a number line?

Anwer : A number line can be expressed as a line upon which digits starting from 0-9 are mapped. 0 is in the middle. Negative numbers are charted on the left of 0 and positive numbers are charted on the right of 0.

4. What is the result of small numbers which are 15?

Anwer : 0

5. State the difference between 5 greatest digits and small 5 digits.

Anwer : 89999

MCQ on Number System

The following are some MCQs on the number system:

1. The product of 10 perfect cubes is:
2. 1225
3. 3025
4. 5765

(Answer: b. 3025)

2. Which is not a rational number?
3. 7
4. 0.444
5. √3

(Answer: c. √3)

3. If y and w are two numbers that belong to 653yq and it can be divided by 80 then what would be the y+q value?
4. 3
5. 2
6. 5

(Answer: b. 2)

Conclusion

This mathematical number system is useful for carrying out the most basic calculations. It can also be used for performing complex reasoning and calculations. There are two broad categories of numbers that have to be understood:

• Negative Numbers
• Positive Numbers

Negative numbers are those which are represented on the left side of a number life before 0. These kinds of numbers are used to perform subtraction. Number system aptitude can be defined as how numbers are valued and grouped in a given set. It is also the basis of a number system.