Decimal to Binary Converter

Convert decimal numbers (including fractions) to binary, octal, or hexadecimal with step-by-step explanation.

Result:

How This Tool Works

This tool converts both the whole and the fractional parts of a decimal number. It shows each conversion step as well. The final result displays in binary with a base indicator.

How to Use This Tool

Follow these instructions for a smooth experience:

  1. Enter a decimal number. You can include fractions and negative numbers.
  2. Select the desired conversion base. Choose Binary for base 2.
  3. Set the number of digits for the fractional result. The default is 8.
  4. Press the Convert button or hit Enter to start the process.

Understanding Each Input Field

The tool has three main inputs:

Interpreting the Output

The output shows the conversion result with the correct base subscript. It includes the steps used for converting the integer part. If there is a fractional part, it shows the multiplication steps too. Negative numbers get a minus sign at the start.

Limitations and Special Notes

The tool converts both the integer and fractional parts of a decimal number. Some fractions may produce repeating patterns or get truncated after the chosen digits. This is normal for fractions in binary conversion. Check the step-by-step section for details.

Examples of Common Use Cases

You might use this tool for these purposes:

Step-by-Step Guide

1. Enter your decimal value in the input box.

2. Choose Binary from the conversion options.

3. Set your desired fractional precision.

4. Click Convert or press Enter.

The result and conversion steps will appear below.

Final Thoughts

This tool uses clear steps to convert decimal numbers accurately. It handles both whole and fractional numbers. It helps you understand the process by showing every step. Try it out to see the detailed breakdown of your conversion.