Decimal to Hexadecimal Converter

What is Decimal to Hexadecimal?

Decimal to hexadecimal is the conversion of a number from the decimal (base-10) system, which we use generally, to the hexadecimal (base-16) system, which is widely used for computing and digital electronics. Such conversion is useful since hex is a compact notation of big numbers, making it easier to handle readable binary presentations.

Decimal to Hexadecimal Example:

In this example, we’ll convert the decimal number 75 to its hexadecimal equivalent:

1. Divide 75 by 16
   • 75 ÷ 16 = 4 (quotient), remainder = 11.
   • The remainder 11 is represented by B in hexadecimal.
2. Divide the Quotient Again by 16
   • 4 ÷ 16 = 0 (quotient), remainder = 4.
   • The remainder is 4, which stays the same in hexadecimal.
3. Combine the Remainders
   • Write the remainders from last to first, resulting in 4B.

Therefore, in this decimal to hexadecimal example, the decimal number 75 converts to 4B in hexadecimal.

What is Decimal Number System?

The decimal system is a base-10 number system; it uses 10 digits {0…9}. Each place or position in a decimal number signifies a power of ten, making it very easy for us to use in calculations, measurements, and counting in our practical life.

For Example:

The decimal number 345 represents:

3×10² + 4×10¹ + 5×10⁰ = 300 + 40 + 5 = 345

What is Hexadecimal Number System?

The hexadecimal system is a base-16 numbering system, which means it has sixteen symbols: the digits 0 to 9 and the letters A to F, where A = 10 and B = 11 up to F = 15. Hex numbers are frequently used in computer science for memory addresses, color codes, and simplifying binary data.

For Example:

The hexadecimal number 1A translates to decimal as follows:

1×16¹ + 10×16⁰ = 16 + 10 = 26

How to Convert Decimal to Hexadecimal?

The process of converting a decimal to hexadecimal involves dividing it by 16 and keeping track of the remainders. The hexadecimal equivalent of the decimal number is the remainders written in reverse order, enabling a fast and precise toggle between these two systems.

Step-by-Step Guide:

For Example: Convert the decimal number 255 to hexadecimal.

1. Divide by 16
   • 255 ÷ 16 = 15, remainder = 15
   • Remainder 15 = F in hexadecimal.
2. Divide the Quotient by 16 Until Zero
   • 15 ÷ 16 = 0, remainder = 15 (F in hexadecimal).
3. Combine Remainders
   • Write remainders from bottom to top to get FF.

Thus, the decimal number 255 converts to FF in hexadecimal.

Why Use a Decimal to Hexadecimal Converter?

Decimal to hexadecimal conversion is common in programming, computer science, and digital electronics, often required in practical tasks or coursework. However, manual conversion can be tedious and error-prone, especially for large numbers. A Decimal to Hexadecimal Converter saves you from doing lengthy calculations, providing accurate results quickly, making it ideal for students, professionals, and anyone frequently working with number systems.

Key Features:

• Instant Conversion: Get quick and accurate results without manual calculations. Just input a decimal number and instantly see the hexadecimal equivalent.
• User-Friendly Interface: The tool is designed for simplicity, making it easy to use even for beginners. Just enter a number, click “Convert,” and view the result.
• Error-Free Calculations: The converter ensures that all conversions are accurate, eliminating the risk of errors that can occur during manual conversions.
• Copy Result Feature: Easily copy your conversion results with a single click, perfect for coding, documentation, or projects.
• Reusable for Multiple Conversions: Convert multiple numbers quickly, suitable for repeated use.

How to Use Our Decimal to Hexadecimal Converter

Our Decimal to Hexadecimal Converter tool is designed for simplicity and speed. Here’s how to use it:

1. Enter the Decimal Number
   • In the input box, enter the decimal number you wish to convert to hexadecimal.
2. Click the “Convert” Button
   • After entering your decimal number, click the “Convert” button. This will trigger the conversion process.
3. View the Hexadecimal Result
   • The tool will display the hexadecimal equivalent of your decimal number instantly in the output box.
4. Check Additional Information
   • Some converters also provide extra details, such as conversion steps or an option to copy the result.
5. Repeat as Needed
   • To convert additional decimal numbers to hexadecimal, simply repeat the process.

This converter is useful for students, programmers, or anyone looking for a quick and precise way to convert decimal values to hexadecimal.

If you're looking for more tools for number conversions or digital systems, check out all our tools here at Binary Language Translator. We offer easy-to-use resources to quickly convert between different number system