# Decimal to Binary Converter

Enter Value:
Result

Our decimal to binary converter is an online tool that converts base-10 numbers to the base-2 number system in seconds.

## Decimal Number System

A base-10 numeral system having digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is said to be a decimal number system. All the numbers obtained by combining 0-9 numeric digitals are decimals. There is no need to write the base of decimal numbers, as if any number is given without any base, it would be considered a decimal number.

This numbering system is also called the Hindu-Arabic or Arabic number system.

## Binary Number System

A base-2 numeral system having digits 0 and 1 is said to be a binary number system. All the numbers obtained by combining 0 and 1 numeric digitals are binary numbers, i.e., (11101)2. The first digit of a binary number is said to be the MSB, while the last digit of a binary number is said to be LSB.

Where,

• MSB = Most Significant Bit
• LSB = Least Significant Bit

## How to Convert Decimal to Binary?

Our decimal to binary converter is a time-saving way to convert any decimal number to a binary number. Below are a few steps to follow for the manual conversion of decimal to binary.

• First of all, divide the given binary number by 2.
• Write down the quotient and its remainder. There would be two cases:
• If the given decimal number is even, it will be completely divisible by “2,” and the remainder will be 0.
• If the given decimal number is odd, it will not be completely divisible by “2,” and there will be a remainder “1”.
• To get the required binary number, arrange all the reminders from bottom to top in such a way that the last remainder is the first digit and the first remainder is the last bit.

Let us consider an example to explain the above process.

Example

Convert 39410 to a binary number.

Solution:

 Divide the given decimal by 2 Outcome Remainder 394/2 197 0 (Last bit) 197/2 98 1 98/2 49 0 49/2 24 1 24/2 12 0 12/2 6 0 6/2 3 0 3/2 1 1 1/2 0 1 (First bit)
Hence,

39410 = (110001010)2

You can also use our binary to decimal converter to convert any binary number to a decimal number system.