## Introduction: Conversion of Decimals Into Binary Numbers

Firstly let's learn to interpret a decimal number using its base.

The standard numeral system is called decimal (base 10) and uses ten symbols: 0,1,2,3,4,5,6,7,8,9.

Binary number system uses only two symbols '0 and 1' Therefore a binary number has a base 2.

There's an example provided above. Have a look.

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## Step 1: Converting a Decimal Number Into Binary Number

Converting a decimal number is just dividing the given number repeatedly and noting the remainder beside.

Look at the example.

## Step 2: Converting Binary Number Back to Decimal

This method goes with multiplying each digit in the binary number with 2 to the power of its position in the number and adding all the products together. For a clear understanding look at the picture above.

The first digit of 1100__ 0__ is 0 which is in zeroth position

110__ 0__0 underlined digit is in first position

11__ 0__00 underlined digit is in second position

1__ 1__000 underlined digit is in third position

__ 1__1000 underlined digit is in fourth position

## Discussions

2 years ago

Thanks for sharing :)