# INTRODUCTION

Hey guys, In today blog we are going to discuss “how to convert decimal into binary number system”

Let get started,

In the previous blog, I told you about “how to convert binary to decimal numbers”. So, now we are going to learn how to convert a decimal number into binary numbers system.

Before we start, let take a recap about decimal and binary number:

A decimal number is a number that uses the digit 0 to 9 (0,1,2,3,4,5,6,7,8,9) to represent the number and their base is “10”. Some examples of decimal numbers like 65, 29,185, 3354, 75689, etc. On the other hand, A binary number is a number that uses only two-digit “0” and “1” and its base is 2. Some examples of binary number are- 101, 11001, 001001, 11001010101, etc.

If you want to know this topic in more detail then go to this link “Computer Number System”.

Now, let discuss how to calculate:

## How to Convert Decimal Into Binary Number System

I will explain this to you with Division method So, that you can understand easily.

### Now, lets do some examples:

Example 1: Convert the decimal number 9810 into Binary form?

Ans:

Now, write all the remainder in places wise (Seventh to First Place) = 1100010

= Hence, the binary no. is (1100010)2

Example 2: Convert the decimal number 16410 into binary form?

Ans:

Now, Write all the remainder in places wise (Eighth to First Place) = 10100100

= Hence, the decimal no. is (10100100)2

Example 3: Convert the decimal number 28910 into binary form?

Ans:

Now, write all the remainder in places wise (Ninth to First place) = 100100001

= Hence, the binary no. is (100100001)2

Example 4: Convert the decimal number 346810 into binary form?

Ans:

Now, write all the remainder inn places wise (Twelfth to First) = 110110001100

= Hence, the decimal no. is (110110001100)2

Example 5: Convert the decimal number 5897610 into binary form?

Ans:

Now, write all the remainder in places wise in downward to upward like (Sixteen to First place) = 1110011001100000

= Hence, the binary no. is (1110011001100000)2

Now, we will do the question with decimal points and see how they solve

Example 6: Convert the decimal number 0.2510 into binary number?

Ans: In decimal point question, we have to do the multiply by 2 until the decimal is not finish.

Our answer is after point is 01. It means our answer is 0.01

=Hence, our final answer is 0.012

Now let move to the other example

Example 7: Convert the decimal number 0.1562510 into binary form?

Ans:

In the decimal point question we will write from upward to downward = 00101

Hence, the binary number is 0.001012

Example 8: Convert the decimal number 25.62510 into binary form.

Ans: In this number 25.625, we have to solve firstly 2510 into binary in and then after 0.62510. After that, we will sum the output of 2510 and 0.62510.

Example = (output of 25 +output of 0.625)= Final answer = (…………)2

Step1: For now, we have to solve 2510 into binary

Write all the remainder in places wise from fifth to first place = 11001

= Hence, the binary number is (11001)2

Step 2: Now, we to solve 0.62510 into binary

As you in the decimal point question we have to do multiply with 2

we have to write all the result from upward to downward manner = 101

=Hence, the binary no. is 0.1012

Final Step: Output of 2510 + Output of 0.62510 = (110012 + 0.10110 )

Hence, the final answer is 11001.1012

## Conclusion:

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