Binary to Decimal Calculator

Use our free binary to decimal converter to instantly convert any binary number to decimal with a full breakdown showing each bit's value, place values, hex, and byte-aligned nibble format.

Math

Binary Number

Formula

Convert binary to decimal instantly. See the full expansion: each bit multiplied by its place value (2ⁱ), the sum, bit length, hex equivalent, and byte-aligned nibble format.

d = Σ bᵢ × 2ⁱ

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter a binary number (digits 0 and 1 only).
2Click Calculate.

Examples

1010₂ to decimal

1.1·2³ + 0·2² + 1·2¹ + 0·2⁰ = 8+0+2+0 = 10

Result: 10

11111111₂ to decimal

1.255 in decimal = FF in hex

Result: 255

Frequently Asked Questions

Multiply each digit by 2 raised to its position (from right, starting at 0), then sum.

Up to the JavaScript safe integer limit (2⁵³−1).

Binary grouped into 4-bit chunks for readability, each corresponding to a hex digit.

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CalculateMe Team

Last updated: 2026-07-15

Binary to Decimal Calculator

Formula

How It Works

Examples

1010₂ to decimal

11111111₂ to decimal

Frequently Asked Questions

How do you convert binary to decimal?

What is the largest binary I can enter?

What is nibble format?

Related Calculators

Binary to Decimal Calculator

Formula

How It Works

Examples

1010₂ to decimal

11111111₂ to decimal

Frequently Asked Questions

How do you convert binary to decimal?

What is the largest binary I can enter?

What is nibble format?

Related Calculators