computer science calculator

Binary to Decimal Converter

Convert binary numbers (0s and 1s) to regular decimal instantly. Essential for computer science students, programmers, digital electronics and understanding how computers store numbers.

Important Use Notice

Informational calculator only. Verify important outputs independently before legal, tax, medical, engineering, safety-critical, contractual, employment, or compliance use.

Estimate

Enter job values, review the estimate, then use the decision hints before ordering or quoting.

Enter 0s and 1s only

Estimate Results

Enter values to see the result.

Check

Including digits other than 0 and 1
Forgetting positional values (rightmost is 2⁰)

Example

1010 binary → 10 decimal

Formula

Decimal = Σ(bit_i × 2^i)

Each bit from right to left multiplied by increasing powers of 2 (starting from 2⁰).

Rightmost bit is least significant (2⁰ = 1)

FAQ

Why do computers use binary?

Binary matches on/off states of transistors (0/1).

What if binary has leading zeros?

They don't affect value (001010 = 1010 = 10).