Decimal to Binary Converter

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

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.

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

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:

394₁₀ = (110001010)₂

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