Binary to Decimal Conversion — Step by Step Guide

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Overview

Binary to decimal conversion is a fundamental skill in computer science and digital electronics. The method is systematic and easy once you understand positional values.

The Formula

Decimal = Σ(bit × 2^position) | Rightmost bit = position 0

Standard formula used by professionals worldwide

Worked Example

Step-by-step

1011 binary → 1×8 + 0×4 + 1×2 + 1×1 = 8+0+2+1 = 11 decimal

Key Points

Accuracy: Results are as accurate as the inputs you provide
Units: Always use consistent units throughout your calculation
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Frequently Asked Questions

What is the largest 8-bit number?

11111111 = 255 decimal.

How do I convert decimal to binary?

Divide by 2 repeatedly and read remainders from bottom to top.

Why is 0 the rightmost position?

Positional notation convention — rightmost is units (2⁰=1).

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