Binary to Decimal Converter

0 bits 0 groups 0 lines
📁 Drop file here to convert
0 digits 0 numbers 0 lines

Key Features

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Real-time Binary to Decimal Conversion

Instantly convert binary numbers to decimal and vice versa with automatic format detection. The most efficient binary to decimal converter online.

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Bidirectional Base Conversion

Seamlessly switch between binary (base-2) and decimal (base-10) with intelligent number format adaptation and validation.

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Advanced Number Analytics

Real-time tracking of bits, groups, and numbers with visual conversion indicators and error detection for invalid binary input.

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Batch File Processing

Upload and convert multiple binary numbers from files with support for TXT, JSON, XML, and CSV formats.

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Conversion History

Save and access your binary to decimal conversions with favorites, export options, and efficient history management.

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Secure Local Processing

All binary to decimal conversions happen locally in your browser, ensuring your data never leaves your device.

How to Use Binary to Decimal Converter

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💻 Enter Binary Input

Type or paste your binary number into the input field. The tool supports:

  • Binary numbers (0s and 1s)
  • Grouped binary with spaces (e.g., "1010 1100")
  • File upload (TXT, JSON, XML, CSV formats)
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⚡ Instant Decimal Conversion

Watch as your binary converts automatically to decimal:

  • Binary → Decimal: Real-time base conversion
  • Live bit count and number tracking
  • Error detection for invalid binary input
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🔧 Use Smart Tools

Take advantage of built-in features for better productivity:

  • Swap ↔️ Instantly switch input/output
  • Copy 📋 One-click copy to clipboard
  • Paste 📥 Quick paste from clipboard
  • History 📜 Access previous conversions
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💾 Save or Share

Export your converted decimal results in multiple ways:

  • Download File: Save as text file
  • Share Link: Copy URL for sharing
  • Convert History: Access your previous work
  • Examples: Try pre-built conversion examples

⚡ Quick Start Examples

Basic: "1010" → 10
Grouped: "1010 1100" → 172
Large: "11111111" → 255
Complex: "1100 1011 0110" → 3270

Binary to Decimal Examples

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Basic: 1010 Simple binary
Decimal: 10
Byte: 11111111 Maximum 8-bit
Decimal: 255
Grouped: 1010 1100 With spaces
Decimal: 172
16-bit: 1111 1111 1111 1111 Maximum 16-bit
Decimal: 65535
Power of 2: 10000000 2^7
Decimal: 128
Zero: 00000000 All zeros
Decimal: 0

Understanding Binary to Decimal Conversion

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Binary Number System

Binary is a base-2 number system that uses only two digits: 0 and 1. Each position in a binary number represents a power of 2, starting from the rightmost digit (2^0).

How Binary to Decimal Conversion Works

To convert binary to decimal, multiply each binary digit by its corresponding power of 2 and sum all the results. For example, binary 1010 converts to decimal 10:

  • 1 × 2³ = 1 × 8 = 8
  • 0 × 2² = 0 × 4 = 0
  • 1 × 2¹ = 1 × 2 = 2
  • 0 × 2⁰ = 0 × 1 = 0
  • Total: 8 + 0 + 2 + 0 = 10

Common Binary Patterns

Understanding common binary patterns helps in programming and digital logic design:

  • 00000001 = 1 (2⁰)
  • 00000010 = 2 (2¹)
  • 00000100 = 4 (2²)
  • 00001000 = 8 (2³)
  • 11111111 = 255 (Maximum 8-bit value)

Binary to Decimal Reference

BinaryCalculationDecimal
00011×2³1
00101×2²2
01001×2¹4
10001×2⁰8
10101×2³ + 1×2¹10
11111×2³ + 1×2² + 1×2¹ + 1×2⁰15

Frequently Asked Questions

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How do I convert binary to decimal?

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Simply enter your binary number (sequence of 0s and 1s) in the input field, and our tool will automatically convert it to decimal. You can also enter decimal numbers to convert them to binary.

What is the largest binary number I can convert?

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Our tool can handle binary numbers of arbitrary length, limited only by your browser's capabilities. Common ranges include 8-bit (0-255), 16-bit (0-65535), and 32-bit numbers.

Can I convert multiple binary numbers at once?

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Yes! You can enter multiple binary numbers separated by spaces or newlines, and our tool will convert all of them. You can also upload a file containing multiple binary numbers.

Is this binary to decimal converter free?

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Yes! Our binary to decimal converter is completely free to use. No registration required, no hidden fees, and unlimited conversions.