Binary to Decimal Converter

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

What is a Binary To Decimal Converter?

For converting binary to decimal, an online binary to decimal calculator is used. Binary number converter, 

• Evaluate decimal equivalent of entered binary number.
• Provides you the solution step by step.
• Represent the place values

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

Binary To Decimal Conversion:

For converting a binary number to decimal we multiply each digit with its place value and then add the products. 

We simply multiply each binary digit with its place value and add the product. 

Example:
(01001)2 = (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = 8 + 1 = (9)10

Binary System

Number 2 is used as a base of binary numbers. It contains 2 numbers 0 and 1 as a base 2 numeral system. Binary numbers is the language of computer and electronics. It is the efficient way to detect electrical signals OFF ( 0 ) and ( 1 ) ON state. 

• (01110100)₂ = (116)₁₀
• (000110110000)₂ = (432)₁₀
• (110010001110)₂ = (3214)₁₀

Decimal System:

Decimal number system is mostly used in our daily life. Number 10 is used 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 1234.56 in the decimal system:

• The number 4 is in the position of ones (10⁰, which equals 1),
• 3 is in the position of tens (10¹)
• 2 is in the position of hundreds (10²)
• 1 is in the position of thousands (10³)
• Although, the digit 5 after the decimal point is in the tenths (1/10, which is 10^-1) and 6 is in the hundredths (1/100, which is 10^-2) position
• Thus, the number 1234.56 can also be represented as follows: (1 * 10³) + (2 * 10²) + (3 * 10¹) + (4 * 10⁰) + (5 * 10^-1) + (6 * 10^-2)

How To Use Binary To Decimal Converter?

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

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

This binary to decimal calculator is compatible with all browsers and devices including Chrome, Safari, MacOS and Android. 

Binary Decimal Conversion Table: