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.