Binary to Decimal Converter

Convert binary numbers to decimal instantly. Free online binary to decimal calculator with step-by-step conversion guide and examples.

💡 Enter binary → get decimal. Example: "1111" → "15".

From

To

Binary Input

0

Decimal Output

How to Convert Binary to Decimal

Step-by-step guide with examples

Input

Convert

Result

1

What is Binary to Decimal Conversion?

Binary to decimal conversion transforms base-2 numbers (0s and 1s) into base-10 numbers. Each binary digit represents a power of 2, and the decimal value is the sum of all active powers.

2

How to Convert Binary to Decimal Step-by-Step

1. Write the binary number. 2. Assign powers of 2 to each position from right to left (2⁰, 2¹, 2²...). 3. Multiply each binary digit by its power of 2. 4. Add all the products. Example: 1111 = 1×2³ + 1×2² + 1×2¹ + 1×2⁰ = 8+4+2+1 = 15

3

Common Use Cases

• Understanding how computers store numbers. • Network subnet mask calculations. • Digital electronics and circuit design. • Programming and debugging binary data.

Frequently Asked Questions

4 common questions answered

4 Questions4 AnswersClick to expand

Q1How to convert binary to decimal?

Multiply each bit by 2 raised to its position (right to left, starting at 0) and sum all results. Example: 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10.

Q2What is 1111 binary to decimal?

1111 in binary = 15 in decimal. Calculation: 8+4+2+1 = 15.

Q3What is 11111111 binary to decimal?

11111111 = 255 in decimal. This is the maximum value of an 8-bit byte (128+64+32+16+8+4+2+1).

Q4How to compute binary to decimal?

Use positional notation: each bit position has a value that doubles from right to left (1, 2, 4, 8, 16...). Add up values where the bit is 1.

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