📊 Binary to Decimal Converter

Use this binary to decimal converter to instantly transform binary numbers into their decimal equivalents. Simply enter a binary value, and this tool will provide an accurate decimal representation.

Decimal representation will appear here…

📌 What is a Binary Number?

The **binary number system** is a base-2 numeral system that uses only two digits: **0 and 1**. It is widely used in computing and digital electronics.

Example: The binary number **1010** is represented as **10** in decimal.

📌 Methods to Convert Binary to Decimal

Positional Notation Method: Multiply each bit by 2 raised to its position index and sum the values.
Doubling Method: Start from left and keep doubling while adding the next bit.
Using Built-in Functions: Many programming languages provide built-in functions for conversion.

📌 Examples of Binary to Decimal Conversion

Method	Example	Solution
Positional Notation	1011	(1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 11
Doubling Method	1101	1 → 3 → 6 → 13 (Double and add each bit)
Built-in Functions	10010	parseInt(“10010”, 2) = 18

❓ FAQs

Q1: How do I convert a binary number to decimal?
✅ Use positional notation, doubling method, or programming functions.

Q2: Why is binary used in computers?
✅ Computers use binary as it aligns with electronic circuit behavior.

Q3: Can I convert large binary numbers?
✅ Yes, but ensure accuracy by using precise methods.

Q4: What is the simplest way to verify conversion?
✅ Convert the decimal back to binary and check if it matches.

Q5: Is there a limit to binary conversion?
✅ No, but large numbers may require higher computing precision.