Hexadecimal To Base-4 Converter

Convert Hexadecimal to Base-4

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Effortlessly Convert Hex Codes to Base-4 Notation with Newtum's Online Tool


(Last Updated On: 2024-10-18)

Discover Newtum's Hexadecimal to Base-4 Converter: your go-to solution for seamless hex to quaternary conversions. Unleash curiosity with this user-friendly tool!

What are Hexadecimal and Base-4

Definition of Hexadecimal

Hexadecimal is a base-16 number system consisting of sixteen distinct symbols: 0-9 to represent values zero to nine, and A-F to represent values ten to fifteen. Each digit in a hexadecimal number represents a power of 16. It is widely used in computing as a human-friendly representation of binary-coded values.

Definition of Base-4

Base-4, also known as quaternary, is a positional numeral system using base 4. It employs four symbols: 0, 1, 2, and 3 to represent all possible values. Each position in a base-4 numeral represents a power of 4, increasing from right to left. It is less common than other numeral systems.

Hexadecimal to Base-4 Conversion Table

Hexadecimal Base-4
0x1 1
0x2 2
0x3 3
0x4 10
0x5 11
0x6 12
0x7 13
0x8 20
0x9 21
0xA 22

Conversion of Hexadecimal to Base-4

Example 1:
Convert 0x1A to Base-4:
0x1A = 0x1 * 16 + 0xA = 2 * 4^2 + 2 * 4^1 = 102 in Base-4

Example 2:
Convert 0xB3 to Base-4:
0xB3 = 0xB * 16 + 0x3 = 2 * 4^2 + 3 * 4^1 = 203 in Base-4

History of Hexadecimal and Base-4

The Hexadecimal to Base-4 Converter is a modern tool that arose from the need to translate between different numeral systems, particularly in computing and digital electronics where hexadecimal is common and base-4 manipulation is occasionally required.

How to use Hexadecimal to Base-4 Converter

Real Life Applications of Hexadecimal to Base-4

Experience the practicality of converting hex to base-4 in various real-world applications with our intuitive tool.

Solved Examples

Example 1: Hexadecimal 0xF converts to Base-4 as 33.

Example 2: Hexadecimal 0x7A converts to Base-4 as 1312.

FAQs

What is a Hexadecimal to Base-4 Converter?
It is a tool that transforms hexadecimal numbers into their equivalent base-4 representation.
Why would I need to convert hexadecimal to base-4?
This conversion can be useful for certain computational processes and educational purposes.
Is the conversion process reversible?
Yes, numbers can be converted back from base-4 to hexadecimal using a reverse process.