representation of number system by mind map

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The pursuit of performance excellence, mind mapping, mind mapping.

A mind map is a visual representation or diagram of information that has a central idea surrounded by connected branches of associated topics.

A mind map is a visual representation or diagram used to;

• display connections between concepts
• generate ideas, or
• classify information

Inventor of Mind Mapping

Tony Buzan, the inventor of the Mind Map, asserts that Mind Mapping is a powerful graphic technique which provides a universal key to unlock the potential of the brain . He believes it harnesses the full range of cortical skills – word, image, number, logic, rhythm, color and spatial awareness – allowing you the freedom to roam the infinite expanses of your brain.

About Mind Mapping

A mind map or concept map is usually a multi-colored diagram displayed on a large sheet of paper, containing words and images that are connected in various ways.  The information on a mind map is arranged intuitively according to the importance of the concepts. 

• It organizes ideas and information around a central theme or topic.
• Additional ideas or concepts radiate in the form of branches from that central theme or topic.
• The branches are created to represent connections and relationships between portions of information.
• Branches are a reflection of the way the human brain thinks, creating associations and connection to improve memory .
• Each branch holds a key word and/or image that are connected to the central theme. Additional ideas radiate from those branches forming a “nodal” structure.

Benefits of Mind Mapping

Mind mapping is beneficial in that it helps individuals to practice harmonious whole brain thinking that brings together left and right brain thinking. Mind Maps utilizes the left brain's analytical functions such as words, sequencing, and association as well as the holistic and spatial right brain functions like symbols, color, and creativity.

Other Benefits

• Helps brainstorm new ideas
• Helps explore concepts or problems
• Make it easy to organize ideas and concepts
• Helps in the understanding of relationships and connections between concepts
• Make it easy to communicate new ideas and thought processes
• Helps in recall of information

Applications for Mind Mapping

Mind mapping is mainly a method for organizing information and generating ideas, but can be applied to various applications in daily life including:

• Note taking
• brainstorming
• Problem solving
• Organizing and presenting information

Note Taking

Mind maps can be used as a very effective visual method of taking notes.  Mind maps allow for greater creativity when writing down information, as well as allowing the note-taker to associate both words and visual images with concepts.  The mind map flow allows the note-taker to write down information where it best connects to the other topics, versus the traditional linear way which forces the note-taker to record information in a linear sequential way. 

Mind maps approach and visual design also helps to enhance ideas and increase mental retention through the use of colors and symbols.  The maps have a multi-branch format, with secondary ideas branching off the main idea into sub-sections.  A mind map will have key topic lines radiating in all directions from the main topic, with sub-topics and facts branching out from them.  The visual design is similar to the way limbs, branches, and twigs extend from the trunk of a tree.

The human brain works with all five senses which help form the basis of memory.  It can be more difficult to remember information obtained through traditional note taking, since it relies solely on words and ideas to be presented in a linear fashion.  Mind maps, on the other hand, are more of a visual pictorial, thus helping associations to be made easier.  the brain makes associations in order to learn new concepts and connect them to known concepts or facts, thus using lines to connect ideas can enhance memory.  Also, since traditional note taking is typically done only in a single color, it is harder to remember information that is recorded.  Essentially, color, symbols, images, key words, associative links, and visual depiction all make a mind map much more memorable than traditional linear notes.

Brainstorming

The creative potential of mind mapping can be very useful for brainstorming.  Mind maps encourage people to generate new ideas and create connections between different ideas or concepts by presenting new ideas in a natural, spontaneous, graphical, and non-linear manner.  To use the Mind Mapping approach to brain storming, start with the basic problem as the center of the paper, and then generate ideas/options to obtain at number of different possible solutions.

The Mind Map approach allows individuals to connect concepts without forcing them into a specific conceptual framework.  The ideas often naturally flow in different directions, hence generating a multiplied of options.  Using color, symbols, and images can help to stimulate imagination and generate more creative solutions.

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Number System

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• Math Article

Number System

The number system or the numeral system is the system of naming or representing numbers. We know that a number is a mathematical value that helps to count or measure objects and it helps in performing various mathematical calculations. There are different types of number systems in Maths like decimal number system, binary number system, octal number system, and hexadecimal number system. In this article, we are going to learn what is a number system in Maths, different types, and conversion procedures with many number system examples in detail .  Also, check mathematics for grade 12 here.

What is Number System in Maths?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures. It also allows us to operate arithmetic operations like addition, subtraction, multiplication and division.

The value of any digit in a number can be determined by:

• Its position in the number
• The base of the number system

Before discussing the different types of number system examples, first, let us discuss what is a number?

What is a Number?

A number is a mathematical value used for counting or measuring or labelling objects. Numbers are used to performing arithmetic calculations.  Examples of numbers are natural numbers, whole numbers, rational and irrational numbers, etc. 0 is also a number that represents a null value. 

A number has many other variations such as even and odd numbers, prime and composite numbers. Even and odd terms are used when a number is divisible by 2 or not, whereas prime and composite differentiate between the numbers that have only two factors and more than two factors, respectively.

In a number system, these numbers are used as digits. 0 and 1 are the most common digits in the number system, that are used to represent binary numbers. On the other hand, 0 to 9 digits are also used for other number systems. Let us learn here the types of number systems.

Types of Number Systems

There are various types of number systems in mathematics. The four most common number system types are:

• Decimal number system (Base- 10)
• Binary number system (Base- 2)
• Octal number system (Base-8)
• Hexadecimal number system (Base- 16)

Now, let us discuss the different types of number systems with examples.

Decimal Number System (Base 10 Number System)

The decimal number system has a base of 10 because it uses ten digits from 0 to 9. In the decimal number system, the positions successive to the left of the decimal point represent units, tens, hundreds, thousands and so on. This system is expressed in decimal numbers . Every position shows a particular power of the base (10).

Example of Decimal Number System:

The decimal number 1457 consists of the digit 7 in the units position, 5 in the tens place, 4 in the hundreds position, and 1 in the thousands place whose value can be written as:

(1×10 3 ) + (4×10 2 ) + (5×10 1 ) + (7×10 0 )

(1×1000) + (4×100) + (5×10) + (7×1)

1000 + 400 + 50 + 7

Binary Number System (Base 2 Number System)

The base 2 number system is also known as the Binary number system wherein, only two binary digits exist, i.e., 0 and 1. Specifically, the usual base-2 is a radix of 2. The figures described under this system are known as binary numbers which are the combination of 0 and 1. For example, 110101 is a binary number.

We can convert any system into binary and vice versa.

Write (14) 10 as a binary number.

Base 2 Number System Example

∴ (14) 10 = 1110 2

Octal Number System (Base 8 Number System)

In the octal number system , the base is 8 and it uses numbers from 0 to 7 to represent numbers. Octal numbers are commonly used in computer applications. Converting an octal number to decimal is the same as decimal conversion and is explained below using an example.

Example: Convert 215 8 into decimal.

215 8 = 2 × 8 2 + 1 × 8 1 + 5 × 8 0

= 2 × 64 + 1 × 8 + 5 × 1

= 128 + 8 + 5

Hexadecimal Number System (Base 16 Number System)

In the hexadecimal system, numbers are written or represented with base 16. In the hexadecimal system, the numbers are first represented just like in the decimal system, i.e. from 0 to 9. Then, the numbers are represented using the alphabet from A to F. The below-given table shows the representation of numbers in the hexadecimal number system .

Number System Chart

In the number system chart, the base values and the digits of different number systems can be found. Below is the chart of the numeral system.

Number System Conversion

Numbers can be represented in any of the number system categories like binary, decimal, hexadecimal, etc. Also, any number which is represented in any of the number system types can be easily converted to another. Check the detailed lesson on the conversions of number systems to learn how to convert numbers in decimal to binary and vice versa, hexadecimal to binary and vice versa, and octal to binary and vice versa using various examples.

With the help of the different conversion procedures explained above, now let us discuss in brief about the conversion of one number system to the other number system by taking a random number.

Assume the number 349. Thus, the number 349 in different number systems is as follows:

The number 349 in the binary number system is 101011101

The number 349 in the decimal number system is 349.

The number 349 in the octal number system is 535.

The number 349 in the hexadecimal number system is 15D

Number System Solved Examples

Convert (1056) 16 to an octal number.

Given, 1056 16 is a hex number.

First we need to convert the given hexadecimal number into decimal number

= 1 × 16 3 + 0 × 16 2 + 5 × 16 1 + 6 × 16 0

= 4096 + 0 + 80 + 6

= (4182) 10

Now we will convert this decimal number to the required octal number by repetitively dividing by 8.

Therefore, taking the value of the remainder from bottom to top, we get;

(4182) 10 = (10126) 8

Therefore, 

(1056) 16 = (10126) 8

Convert (1001001100) 2 to a decimal number.

(1001001100) 2

= 1 × 2 9 + 0 × 2 8 + 0 × 2 7 + 1 × 2 6 + 0 × 2 5 + 0 × 2 4 + 1 × 2 3 + 1 × 2 2 + 0 × 2 1 + 0 × 2 0

= 512 + 64 + 8 + 4

Convert 10101 2 into an octal number.

 10101 2 is the binary number

We can write the given binary number as,

Now as we know, in the octal number system,

Therefore, the required octal number is (25) 8

Convert hexadecimal 2C to decimal number.

We need to convert 2C 16  into binary numbers first.

2C → 00101100

Now convert 00101100 2 into a decimal number.

101100 = 1 × 2 5  + 0 × 2 4 + 1 × 2 3  + 1 × 2 2  + 0 × 2 1 + 0 × 2 0

= 32 + 8 + 4

Video Lesson on Numeral System

Number System Questions

• Convert (242) 10 into hexadecimal. [ Answer: (F2) 16 ]
• Convert 0.52 into an octal number. [ Answer: 4121]
• Subtract 1101 2 and 1010 2 . [ Answer: 0010]
• Represent 5C6 in decimal. [ Answer:  1478]
• Represent binary number 1.1 in decimal. [ Answer: 1.5]

Also Check: Binary Operations

Computer Numeral System (Number System in Computers)

When we type any letter or word, the computer translates them into numbers since computers can understand only numbers. A computer can understand only a few symbols called digits and these symbols describe different values depending on the position they hold in the number. In general, the binary number system is used in computers. However, the octal, decimal and hexadecimal systems are also used sometimes.

More Topics Related to Number Systems

Frequently asked questions on number system, what is number system and its types.

The number system is simply a system to represent or express numbers. There are various types of number systems and the most commonly used ones are decimal number system, binary number system, octal number system, and hexadecimal number system.

Why is the Number System Important?

The number system helps to represent numbers in a small symbol set. Computers, in general, use binary numbers 0 and 1 to keep the calculations simple and to keep the amount of necessary circuitry less, which results in the least amount of space, energy consumption and cost.

What is Base 1 Number System Called?

The base 1 number system is called the unary numeral system and is the simplest numeral system to represent natural numbers.

What is the equivalent binary number for the decimal number 43?

How to convert 30 8 into a decimal number.

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Mind Map Gallery Number System

Number System

This is a mind map that contains information about the number system.

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Imaginary Numbers

- Square Root of (-1) = i

Real Numbers

- Irrational Numbers

- Numbers which cannot be written as adecimal that ends or repeats

- π, square root of 2, 22/7

- Rational Numbers

- Numbers that can be written as arepeating or finite decimal

- .75, 2, -3

- Numbers that can be written as fractions

- 2/3, 1/2, 0, -7/6, 4/2

- Natural Numbers = Whole Numbers

- Counting Numbers

- -2, -1, 0, 1, 2, 3....

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Nervous system – A Visual Representation using Mind Map

What is a Mind Map?

Steps to create Mind Maps

• Begin with the main concept in the center
• Select keywords and concepts related to the main topic and enter these as child items.
• Keep the mind map clear using hierarchy, numerical order, etc. to indicate the branches.
• The central lines should be thicker and flowing. It becomes progressively thinner as it spreads out from the center.

Benefits of mind mapping

• Helps meaningful learning
• It’s a more engaging form of learning
• Makes complex issues easier to understand
• Helps in memorizing and retaining data
• It improves creativity
• Improves writing skills
• Improves productivity

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