How do I convert bin (Base 2) to dec (Base 10) quickly?

Enter your value into the Unitly converter above to instantly calculate binary to decimal with zero lag and one-click copy to clipboard.

Digital & Computing • bin (Base 2) → dec (Base 10)

Binary to Decimal Converter

Instantly convert binary to decimal with live bidirectional calculation, mathematical formula breakdown, and quick-reference snippet charts.

From

bin (Base 2)

dec (Base 10)

Formula dec (Base 10) = Base10(bin (Base 2))

Multiply each binary digit by 2 raised to the power of its position index (right-to-left starting at 0) and sum the products.

How to Convert Binary to Decimal

Mathematical formulation and step-by-step conversion steps.

Conversion Formula

dec (Base 10) = Base10(bin (Base 2))

Multiply each binary digit by 2 raised to the power of its position index (right-to-left starting at 0) and sum the products.

Example Calculation (10 bin (Base 2))

To convert 10 binary into decimal:

1. Input: 10 bin (Base 2)

2. Apply formula: dec (Base 10) = Base10(bin (Base 2))

3. Result = 2 dec (Base 10)

Quick-Reference Conversion Table

Calculated values for common binary to decimal comparisons.

Exact Precision

Binary to Decimal (bin (Base 2) → dec (Base 10))

Binary (bin (Base 2))	Decimal (dec (Base 10))
0 bin (Base 2)	0 dec (Base 10)
1 bin (Base 2)	1 dec (Base 10)
10 bin (Base 2)	2 dec (Base 10)
100 bin (Base 2)	4 dec (Base 10)
1000 bin (Base 2)	8 dec (Base 10)
1010 bin (Base 2)	10 dec (Base 10)
1111 bin (Base 2)	15 dec (Base 10)
10000 bin (Base 2)	16 dec (Base 10)
100000 bin (Base 2)	32 dec (Base 10)
11111111 bin (Base 2)	255 dec (Base 10)

Decimal to Binary (dec (Base 10) → bin (Base 2))

Decimal (dec (Base 10))	Binary (bin (Base 2))
0 dec (Base 10)	0 bin (Base 2)
1 dec (Base 10)	1 bin (Base 2)
2 dec (Base 10)	10 bin (Base 2)
4 dec (Base 10)	100 bin (Base 2)
8 dec (Base 10)	1000 bin (Base 2)
10 dec (Base 10)	1010 bin (Base 2)
15 dec (Base 10)	1111 bin (Base 2)
16 dec (Base 10)	10000 bin (Base 2)
32 dec (Base 10)	100000 bin (Base 2)
255 dec (Base 10)	11111111 bin (Base 2)

Related Digital & Computing Conversions

Explore other units frequently converted alongside binary.

Decimal to Binary

dec (Base 10) → bin (Base 2)

Binary to Decimal FAQ

Common answers and formulas for converting binary to decimal.

How many decimal are in 1 binary?

1 binary (bin (Base 2)) is equal to 1 decimal (dec (Base 10)).

What is the conversion formula for bin (Base 2) to dec (Base 10)?

The formula is: dec (Base 10) = Base10(bin (Base 2)). Multiply each binary digit by 2 raised to the power of its position index (right-to-left starting at 0) and sum the products.

How do I convert 10 binary to decimal?

To convert 10 binary to decimal, apply the conversion formula: 10 bin (Base 2) = 2 dec (Base 10).

Can I reverse this calculation to convert decimal to binary?

Yes, use the quick-swap button (⇄) on the converter above or visit the reverse Decimal to Binary converter.