The number system that has 16 numerals is known as the hexadecimal system. In this system, the numerals range from 0 to 9 and then proceed with the letter representations A to F, where:
- 0 represents zero,
- 1 represents one,
- 2 represents two,
- 3 represents three,
- 4 represents four,
- 5 represents five,
- 6 represents six,
- 7 represents seven,
- 8 represents eight,
- 9 represents nine,
- A represents ten,
- B represents eleven,
- C represents twelve,
- D represents thirteen,
- E represents fourteen,
- F represents fifteen.
The hexadecimal system is widely used in computer science and programming, especially in situations where binary code is too lengthy or cumbersome. Each hexadecimal digit corresponds to a four-bit binary sequence, making it more human-readable while still being efficient for digital systems.
For example:
- The binary number
1010translates toAin hexadecimal. - The binary number
1111translates toFin hexadecimal.
By using hexadecimal notation, programmers and developers can simplify the representation of data, making it easier to work with memory addresses and color codes in web development. For example, the color white is represented as #FFFFFF in hexadecimal, indicating maximum intensity of red, green, and blue.
In summary, the hexadecimal system is a vital tool in the realm of computing, enabling efficient and simplified data representation. It’s not just a numerical system; it’s a bridge between binary complexity and human readability.