## Understanding Number Systems

If you are a student of mathematics and have done masters in this subject, then you must be very aware of numbering systems. There will be no difficulty at all to understand the complete numbering system if you are a fresh graduate in mathematics. Math is no doubt a technical subject, even boring for many students who are weak in doing simple calculations. Those who find it tough will never be able to solve easy queries as compared to those having a sharp mind. They can handle easy and tough calculations no matter the question belongs to converting decimal into binary or it belongs to algebra query. For a genius person, nothing is difficult at all. Despite looking at the expertise of mathematics, some of the math questions are common that might belong to any individual where number systems play an essential role.

The number system in mathematics is a common term that we have been hearing since childhood, not necessarily we studied math, though everyone studied math once in a lifetime. The decimal number system comes to be the most important term whenever we discuss the number system. Further, it covers so many aspects other than the decimal number system, where binary, octal, and hexadecimal are some common number systems.

### Decimal Number System

A decimal number system is the only number system that we people deal on a regular basis, especially the businessmen. Generally speaking, the base of this particular number system is 10 that everyone knows. If we look at the position of the values, then we will come to know about the importance of ones, tens, hundreds, thousands, etc. This is all decimal number is about! It is easy to understand, but when it comes to calculations it becomes little technical for those who don’t belong to mathematics. To know about the basics, the experts look at the left value to proceed with the calculation. This is how things take place in the decimal number system.

### Binary Number System

A binary number system is another important numbering system that we can’t underestimate in our calculations. The binary numbering system is based on two digits, 0 and 1. In this binary numbering system, 0 represents nothing and has no value, while 1 has value and represents all numbers. 0 takes place when 1 is properly used and that’s how the binary system works.

### Applications of Decimal Numbers

### Why are Decimals Used?

Why are decimals used? It’s an important question to know for all businessmen or common people. The most common example of using decimal is money. Yes, money is the most common example of using decimals e.g. if we take an amount such as seven and one-fourth dollars, then we will come to know that it’s an amount calculated between 7 to 8 dollars. How you are supposed to name the exact amount? Obviously, the amount will be known as $7.25. The first part of the amount is known as a whole number while the second part that comes after the point is known as the fractional part. As a whole, the amount will be known as a number. This is how we get clarity to understand the decimal numbers. However, the most common example is money, whenever decimal numbers are talked about.

### How Long can a Decimal be?

If we look at the length of a decimal number, then there is no condition applies on a decimal number. It can go beyond 50 decimal digits, so there is no specific rule for defining a decimal number length.

### What are Decimal Digits?

As we discussed above the example of fractional and whole value, the point is clear to a very extent but here is an example of decimal digits other than taking the example of money.

1.7287 is a number, where 7, 2, 8 and 7 are decimal digits. Remember, one thing that decimal digits will always be shown on the right side after the point. These digits are called decimal digits.

### Example of Decimal in Cricket and Football

The implementation of a decimal is seen in many places other than taking examples of money. Importantly, decimal values are implemented in many sports like Cricket and Football. Let’s take an example of Cricket!

We often see on screen board when a bowler bowls an over that starts from 1.0 and goes up to 1.6, followed up by 1.2, 1.3, 1.4, 1.5 and lastly 1.6. This is how we describe decimal values and numbers when things are written in point.

Other than Cricket, the example of the decimal can also be taken from football. As per rules of the Australian football federation, the scoring is often read as 11.9.77, etc.

#### Ways to Convert from Decimal to Binary

There are multiple methods to convert decimal to binary numbers. For example, manual methods and online converters and calculators. Prepostseo is an online platform that offers multiple converters for the conversion. Prepostseo decimal to binary is one of them.

If you want to do it manually, the following are the things that you need to keep in your mind. As we discussed the decimal values in detail. The decimal values have got base 10 e.g. 0,1,2,3,4,5,6,7,8 and 9. Further, if we look at the binary number system, then we’ll come to know the importance of two numbers 0 and 1. Importantly, computers always understand binary language and that is all based on 0 and 1. This is how electronics and machines deliver exact figures when used. No matter we look at the figure conversion or measure weight, the exact figures appear on the screen of electronics. How to convert Decimal into Binary? Let’s take a look at the example!

The very first thing is to identify the problem or need of converting decimal to binary. The very initial thing is to convert decimal to binary. The conversion of binary matters when you have got the numbers. The division is the most important part of converting decimal into binary. The proper division is required to get the decimal number as well as the binary number. The binary remainder should be 1. Continue dividing the values until you get the zero and that’s the actual target to reach the zero. This is the way to reach your chart when you end up with division. In this way, you easily get binary numbers.