Base2 or Binary number converter

In mathematics, number systems use bases to represent the same numbers in different ways, using numbers or combinations of numbers and letters. For example, the number 23 in Base 10 (which accepts digits 0-9) is represented as 10111 in Base 2 (which accepts only 0 and 1).

Humans commonly use Base 10, or Decimal, as a number system because it accepts digits 0-9. However, various devices accept different bases. The most popular bases are Base 2 (Binary), Base 8 (Octal), Base 10 (Decimal), and Base 16 (Hexadecimal).

With this converter, you can convert Base 2 numbers into other bases up to Base 36.

Click here to see how the Base 2 to Base 10 conversion is performed

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Step by step conversion for Base 2 (Binary) to Base 10 (Decimal)
Prerequisites

List Base 2 and Base 10 allowed numbers with equivalent decimal sequence

Allowed Base 2 numbers and alphabets

Base 2Decimal Value
00
11

Allowed Base 10 numbers and alphabets

Base 10Decimal Value
00
11
22
33
44
55
66
77
88
99
Convert Base2 into Base10 (Decimal)

Formula: (abcdef.....yz)2 = (a * 2L-1) + (b* 2L-2) +......+ (y * 21) + (z * 20)

L - Length of input, I - index of the letter/number

InputInput * 2(L-I)Output
Step 2 - Convert Base10 into Base10 (Decimal)

Devide Base10 (Decimal) by Base14 radix(14) until gets quotient as 0 and map remainder decimal value into corresponding Base14 value using the mapping table

Value / 10QuotientRemainderBase10 char mapping
Step 3 - Result

From step 2 table, get the base mapping in the reverse order

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