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Discover the simplicity of converting decimal numbers to base-4 with Newtum's intuitive tool. Dive into the world of quaternary numbering systems with ease and curiosity.
The decimal system, also known as base-10, is the standard system for denoting integer and non-integer numbers. It is the most widely used numerical system and is based on ten different digits, from 0 to 9. Each digit's position in a number represents its value multiplied by a power of ten.
Definition of QuaternaryThe quaternary system, or base-4, is a numeral system that uses four distinct symbols. Typically, these symbols are 0, 1, 2, and 3. Quaternary numbers are used in systems where a compact digital representation is beneficial, such as in computer science and digital electronics.
| Decimal | Base-4 |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 10 |
| 5 | 11 |
| 6 | 12 |
| 7 | 13 |
| 8 | 20 |
| 9 | 21 |
| 10 | 22 |
Example 1:
Convert 5 in decimal to base-4:
5 = 11 in base-4
Example 2:
Convert 7 in decimal to base-4:
7 = 13 in base-4
The Decimal to Base-4 Converter is a tool that translates the familiar decimal numbers into their quaternary counterparts. The origin of this conversion process dates back to ancient numbering systems that used bases other than 10. Today, these conversions are essential in various computing and mathematical applications.
Understanding Decimal to Base-4 Converter applications is crucial for practical use in various fields. Explore its real-world significance below.
Example 1: Convert 15 in decimal to base-4: 15 = 33 in base-4.
Example 2: Convert 30 in decimal to base-4: 30 = 132 in base-4.
