# Binary to Decimal Converter

Finding the conversion of binary to decimal numbers is quite easy with the help of Binary to Decimal Converter over here. All the users need to do is provide the input binary value and click on the calculate button to get the equivalent Decimal form of the number or vice versa.

Enter binary number

Binary to Decimal Converter:Trying to figure out a handy tool that converts Binary to Decimal or Decimal to Binary among several of the ones available out there? You have spotted the right place and an instant tool that will complete your calculations in the blink of an eye.

The primary idea of this Binary to Decimal converter is to rewrite any binary digit as a decimal and any decimal digit to binary. In the given module you will find information on how to turn out a Binary into a Decimal decimal with detailed steps and basic definitions of Binary and Decimal.

## What is a Binary Number System?

A binary Number System is a system that includes only two digits 0 and 1.

We can say easily say a binary number system is a system of numbers that has base 2. Computers only use the binary number system.

### What is a Decimal Number System?

The representation of integers and non-integers numbers is term as Decimal number System. It has base 10 which includes 10 digits that are 0, 1,2,3,4,5,6,7,8 and 9.

Learn a few more conversions and quickly perform your calculations with the help of a bunch of calculators visit arithmeticcalculator.com. By the end of this article, you will surely learn how to Convert Binary to Decimal.

### Steps to Convert Binary to Decimal Numbers Manually

In this conversion process of a number from Binary to Decimal, when we convert a number with base n into a number with base 10, then each digit of the number is multiplied from the Most Significant Bit (MSB) to the Least Significant Bit (LSB) along with reducing the power of the base.

We can simply convert binary digits to decimal by performing the following steps:

• If you want to convert a binary digit to a decimal digit, first of all, you should give power to 2, power should be started from 0 and can go up to 9 as per the given number of binary digits.
• Now write these powers of 2 just below the binary digits starting from the left of binary digits.
• Then multiply these results with that binary digit (0,1).
• After getting the results, add all these products to get a decimal value of given binary digits.
• Finally, the obtained value is the desired output.

### Worked-Out Binary To Decimal CoverterExample

Example:

Convert the binary number (1001)₂ into a decimal number.

Solution:

Given binary number = (1001)₂

Now, multiplying each digit from most significant bit to least significant bit with reducing the power of the base number 2.

1 × 2³+ 0 × 2² + 0 × 2¹ + 1 × 2⁰

= 8 + 0 + 0 + 1

= 9

Thus, the equivalent decimal number for the given binary number (1001)₂ is (9)₁₀

### Binary to Decimal Conversion Table

The following binary to decimal conversion chart will assist you to get the conversion values at a faster pace:

 Binary Number Decimal Number Hex Number 0 0 0 1 1 1 10 2 2 11 3 3 100 4 4 101 5 5 110 6 6 111 7 7 1000 8 8 1001 9 9 1010 10 A 1011 11 B 1100 12 C 1101 13 D 1110 14 E 1111 15 F 10000 16 10 10001 17 11 10010 18 12 10011 19 13 10100 20 14 10101 21 15 10110 22 16 10111 23 17 11000 24 18 11001 25 19 11010 26 1A 11011 27 1B 11100 28 1C 11101 29 1D 11110 30 1E 11111 31 1F 100000 32 20 1000000 64 40 10000000 128 80 100000000 256 100

### FAQs On Free Binary to Decimal Converter Online with Steps

1. What is converting binary to decimal rules?

One of the simple methods to convert a binary number into a decimal number is using doubling. In this method, we start from the left, double your previous total and add the current digit. Then after making double the current total and add the next leftmost digit. Now repeat the further steps to get the converted output.

2. Why do we require conversion from binary number to decimal number?

The conversion from binary number to decimal number is required to read numbers that are represented as a set of 0s and 1s.

3. What is the difference between binary and decimal number systems?

The main difference between binary and decimal number systems is that the decimal number system uses ten different digits (from 0 to 9) while the binary number system uses only two different digits (0 and 1).

4. What are the similarities between binary and decimal systems?

The main similarity between binary and decimal systems is that both systems use the concept of place value. In both systems, the calculation of each digit value can be done by multiplying the digit with the matching power of 2 and 10. 