Binary to Decimal

Convert binary numbers to decimal numbers, supports batch processing and large number conversion, suitable for programming development and data processing

Bug report

Browser execution mode: Your data is processed in your browser and is not uploaded to the server.

Speed and Stability: Processing speed depends on your device and browser. For large batch work, the desktop version may be more stable.

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If the online tool fails to load or run, try the desktop tool.https://tools.yikeaigc.com/

Tool Usage

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Binary input

Only 0 and 1 allowed; spaces supported

Quick actions

Batch process

Convert multiple binary numbers, one per line

Decimal output

Conversion details

Input length: 0bits

Valid bits: 0bits

Bytes: 0bytes

Max value: 0

Conversion examples

Basic example: 1010 → 10, 1111 → 15

Byte example: 11111111 → 255, 10000000 → 128

Large number: 1111111111 → 1023

Special values: 0 → 0, 1 → 1

Binary basics

Bit weights:From right to left: 2⁰, 2¹, 2², 2³...

Calculate:Multiply each digit by its place value, then add them up

Byte:8 binary bits make one byte

Range:An n-bit binary number can represent 0 to 2ⁿ-1

Tips

Input requirements:Can only contain 0 and 1; spaces may be used as separators

Batch processing:Enable batch mode to convert multiple binary numbers at once

Large number support:Supports binary numbers of any length

Instructions

Software Usage Instructions

Enter binary: Enter the binary number to convert in the "Binary Input" box. It can only contain 0 and 1 characters and supports space separation.
Select mode: Click the "Batch Mode" button to switch to batch processing mode, which supports converting multiple binary numbers at the same time, one per line.
Automatic conversion: The system will convert automatically after input. You can also click the "Convert" button to perform the conversion manually.
Quick actions: Use the quick action buttons to remove spaces, add spaces, group bytes, reverse bit order, validate format, and more.
View details: The conversion details area displays statistics such as input length, valid bits, byte count, and large values.
Reverse conversion: Click the "Reverse Convert" button to convert the decimal result back to binary format.
Copy result: Click the "Copy Result" button to copy the conversion result to the clipboard, or click "Sample Data" to load demo content.

FAQ

A: Binary to decimal conversion is the process of converting a number from the binary number system (using only 0 and 1) to the decimal number system (using 0-9). The conversion method is to multiply each binary bit by the corresponding power of 2 and then add the results. For example: binary 1010 = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 0 + 2 + 0 = 10.

A: Binary place values from right to left are 2⁰, 2¹, 2², 2³..., namely 1, 2, 4, 8, 16, 32, 64, 128, and so on. Multiply the value of each bit (0 or 1) by its corresponding place value, then add all the results to get the decimal number. For example: binary 1111 = 1×8 + 1×4 + 1×2 + 1×1 = 15.

A: Click the "Batch Mode" button to switch to batch processing mode, then enter one binary number per line in the input box. The system will convert all numbers at the same time, and the results will be displayed in the "input → output" format. If a number has an invalid format, the corresponding error message will be displayed. Batch mode is especially suitable for processing large amounts of data.

A: Binary conversion has important applications in many fields: programming and development (understanding data storage and bitwise operations), computer education (learning number systems and computer principles), network configuration (subnet masks and IP address calculation), data analysis (binary file parsing), embedded development (register configuration and hardware control), and more.

A: Quick actions provide convenient format processing: Remove Spaces deletes all separators; Add Spaces inserts a space every 8 bits for easier reading; Byte Grouping displays data grouped by byte; Reverse Bit Order reverses the order of binary bits; Validate Format checks whether the input is a valid binary number. These actions help with data preprocessing and format standardization.

A: Conversion details provide important statistics: Input Length shows the number of characters in the original input; Valid Bits shows the number of binary bits after removing spaces; Bytes shows the required number of bytes (8 bits = 1 byte); Maximum Value shows the largest decimal number that can be represented by the current number of bits (2ⁿ-1). This information helps you understand the data size and verify the results.

A: The tool uses BigInt technology to support binary number conversion of any length, without being limited by JavaScript's standard number type. It can handle very long binary numbers, such as 64-bit, 128-bit, or even longer numbers. For extremely long numbers, it is recommended to use batch mode to process them separately to improve efficiency and readability.

A: You can use the reverse conversion feature to verify the result. Convert the resulting decimal number back to binary; if the result matches the original input, the conversion is correct. You can also manually verify small numbers: for example, binary 1010 should equal decimal 10. You can also check whether the larger values in the conversion details are reasonable.

Binary to Decimal

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Tool Usage

Conversion details

Conversion examples

Binary basics

Tips

Instructions

Software Usage Instructions

FAQ

Q: What is binary to decimal conversion?

Q: How are binary place values calculated?

Q: How do I use batch mode?

Q: What are the practical applications of binary conversion?

Q: What is the quick actions feature used for?

Q: What do the details in the conversion information mean?

Q: How do I handle large-number conversions?

Q: How can I verify that the conversion result is correct?

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