Hex to Decimal Calculator
Enter hexadecimal values (e.g. 1A3F) to convert to decimal.
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Formula
Decimal Value = Σ (Hex Digit × 16^n)
Where:n= position of the digit from right to left, starting at 0
Table of Contents
Hex to Decimal Calculator
A Hex to Decimal calculator helps convert hexadecimal values into their decimal (base-10) equivalents. This tool is essential in programming, digital systems, and textile engineering where precise data interpretation is required.
What Is Hexadecimal?
Hexadecimal, or “hex,” is a base-16 numbering system that uses digits 0–9 and letters A–F to represent values. Each hex digit corresponds to four binary bits.
Example:
- Hex
A= Decimal10 - Hex
F= Decimal15
This format simplifies working with binary numbers in computing, microcontroller programming, and smart fabric systems.
What Is Decimal?
Decimal is the standard base-10 numbering system used in daily life. It uses digits 0–9 to represent numeric values.
In digital systems, decimal values are often converted from hex for easier human interpretation and calculations.
Why Convert Hex to Decimal?
Converting hex to decimal is important in:
- Reading memory addresses
- Programming embedded devices
- Debugging sensor outputs
- Interfacing with smart textiles
- Managing color codes in fashion design software
This conversion allows engineers and designers to work with numeric values in a familiar format.
How to Convert Hex to Decimal – The Formula
To convert a hexadecimal value to decimal, use this formula:
Step-by-Step Process:
- Write down the hex number
- Assign position values (n) starting from the right
- Convert each hex digit to its decimal equivalent
- Multiply each digit by 16^n
- Add all results to get the final decimal value
Example: Convert Hex 3A7F to Decimal
| Hex Digit | Position (n) | Decimal Value | 16^n | Result |
|---|---|---|---|---|
| 3 | 3 | 3 | 4096 | 12288 |
| A | 2 | 10 | 256 | 2560 |
| 7 | 1 | 7 | 16 | 112 |
| F | 0 | 15 | 1 | 15 |
Total Decimal Value = 12288 + 2560 + 112 + 15 = 14975
✅ So, Hex 3A7F = Decimal 14975
Quick Reference Conversion Table
| Hex | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| A | 10 |
| B | 11 |
| C | 12 |
| D | 13 |
| E | 14 |
| F | 15 |
This table helps decode single-digit hex values quickly.
Use in Textile Engineering and Fashion Tech
In smart textiles and wearable electronics:
- Sensors embedded in fabrics may output data in hex.
- Microcontrollers interpret hex values as decimal for processing.
- Designers use hex-to-decimal conversion when managing LED colors, temperature readings, or RFID tag IDs.
Understanding this conversion supports better integration of technology in textile applications.
Conclusion
This conversion supports better understanding of machine-level data in programming, electronics, and smart textile development.
For more information on related topics, check out our articles on Hex to Binary calculator and Ev to Joules Calculator.
By mastering Hex to Decimal conversion, you’ll enhance your ability to handle digital communication and smart fabric projects with confidence and accuracy.