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Number Base (Radix) Converter

Binary to Decimal Converter

Convert base-2 binary bit patterns into decimal integers.

Number Base (Radix)
(BIN)
Example: 1100100 BIN
(DEC)
e.g. 100DEC
Standard: Base 10

Enter any number above to convert Binary to Decimal. Click (i) for brief unit info.

Converting the other way?

Switch directly to the reverse calculator: Decimal to Binary Converter

Open Decimal to Binary Converter

How to Convert Binary (Base 2) to Decimal (Base 10)

Official Mathematical Formula

Decimal = ∑ (bit × 2^position)

Where the input value in BIN is transformed using the exact standardized conversion factor to produce the output in DEC.

Practical Calculation Example

You can verify this calculation directly using our interactive tool above.

Quick Conversion Reference Table (BIN → DEC)

Binary (Base 2) (BIN)
Decimal (Base 10) (DEC)
Copy
1 BIN1 DEC
2 BIN DEC
3 BIN DEC
5 BIN DEC
10 BIN2 DEC
15 BIN DEC
20 BIN DEC
25 BIN DEC
50 BIN DEC
75 BIN DEC
100 BIN4 DEC
250 BIN DEC
500 BIN DEC
1000 BIN8 DEC

Related Number Base (Radix) Calculators

All Number Base (Radix) Tools →

Decimal to Hexadecimal Converter

Convert base-10 integers to base-16 hex values for programming and color codes.

Hex = successive division by 16

Hexadecimal to Decimal Converter

Convert base-16 hexadecimal codes to decimal numbers.

Decimal = ∑ (hex_digit × 16^position)

Binary (Base 2) to Decimal (Base 10) FAQs

Binary 1111 = (1×8) + (1×4) + (1×2) + (1×1) = 15 in decimal.