Decimal to Binary Converter

Use this decimal to binary converter to convert decimal numbers to binary numbers ( 0 & 1). It lets you proceed to convert decimal to binary by just making a single click. 

What is a Decimal To Binary Converter?

For converting decimal to binary, an online dec to binary converter is used. Decimal to binary converter,

• Evaluate the binary equivalent of given decimal number
• Represents each step of conversion for both whole and fractional numbers. 

No matter for what reasons you want to convert decimal to binary, our tool helps you convert to binary for free of cost.  

Decimal To Binary Conversion:

Whole Numbers

Apply the following rules for converting decimal to binary.

• Divide the decimal number by 2 continually until the quotient becomes 0.
• Write the remainders in the same sequence as the divisions, beginning with the least significant digit.

For example, to convert decimal 4 to binary, we divide 4 by 2 repeatedly until the quotient becomes 0. 

(4)₁₀ = (100)₂ 

Decimal System:

Decimal number system commonly used in our daily life. It uses number 10 as its base. It has 10 symbols from 0 to 9 that are represented as 0,1,2,3,4,5,6,7,8 and 9. 

For example, take the number 3456.78 in the decimal system:

• The number 6 is in the position of ones (10⁰, which equals 1),
• 5 is in the position of tens (10¹)
• 4 is in the position of hundreds (10²)
• 3 is in the position of thousands (10³)
• Although, the digit 7 after the decimal point is in the tenths (1/10, which is 10^-1) and 8 is in the hundredths (1/100, which is 10^-2) position
• Thus, the number 3456.78 can also be represented as follows: (3 * 10³) + (4 * 10²) + (5 * 10¹) + (6 * 10⁰) + (7 * 10^-1) + (8 * 10^-2)

Binary System:

Binary number system uses the number 2 as its base. It consists of 2 numbers which include 0 and 1. Binary system is the language of electronics and computers. It is used for different purposes in ancient Egypt, China, and india. 

• (85)₁₀ = (1010101)₂
• (543)₁₀ = (1000011111)₂
• (6098)₁₀ = (1011111010010)₂

How To Use Decimal To Binary Converter?

This number to binary converter is very simple and easy to use. You just need to follow these simple steps to use this converter. 

• Search romannumeralsconverter.net on your compatible browser. 
• Enter the decimal number into the left box. 
• Click on the convert button.
• Get your results in the right box. 

This binary number converter is compatible with all browsers and devices including Chrome, Safari, MacOS and Android. 

Decimal to Binary Conversion Table: