Binary numbers is an special numbers which is made up of only two digits 0 & 1 .

**How to convert decimal numbers in binary no**

I have two approach to do it .

**Left to right method****Right to left method**

*I know both techniques very well, and I always use left to right method only in mind .
But I tell you both techniques.*

**How they work?**

**

Left to right method

**

I show you this method with an example

Binary number of 25

To find this - First think which is the nearest power of 2 here .

It can done easily in mind.

I got it nearest power of 2 here is 16 - (2^4)

We donāt take 32 (2^5) because it is greater than 25.

Now we go in decreasing order of 2 power in mind.

Our aim is to make 25 with adding of 2 power.

16 > 8 > 4 > 2 > 1

1 1 0 0 1

16 + 8 + 1 = 25

The digits which we choose for adding to make 25 numbered 1 and that we donāt take is numbered 0

Note : first we take 16 and after this take 8

Now it becomes 24 . Now we do not take 4 & 2

because when adding it becomes greater than 25.

Another example -

Binary number of 156

128>64>32>16>8>4>2>1

1 0 0 1 1 1 0 0

First we chose 128. (1)

Then we donāt take 64 & 32 because after adding this no. became bigger than 156. (00)

Then we take 16 so our no. became 144 (1)

And then we choose 8 , now it is 144+8 =152 (1)

And last we take 4 , so finally we get 152+4 = 156(1)

And now our no. is complete so for 2 & 1 (00)

Example -

Binary number of 4576

4096 2048 1024 512 256 128 64 32 16 8 4 2 1

= 1000111100000

**

Right to left method

**

In this method, we are halving the number until 1 is not come (*Remainder is not considered except* 1)

We take 1 for odd numbers and 0 for even numbers.

Example

65

First we half the number.

1 < 2 < 4 < 8 < 16 < 32 < 65

Now we write this in binary form

1000001

I hope it will help you.

If you donāt know what is binary , decimal system and want to learn number system you can visit

below the link.