## A Level Computer Science: Hexadecimal

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Revision Notes
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#### What is the hexadecimal system and why is it used in computing?

The hexadecimal system is a base-16 number system that uses 16 unique symbols, 0-9 and A-F, to represent numbers. It is widely used in computing because it can express every byte (8 bits) as two consecutive hexadecimal digits, making it easier to understand and represent binary codes.

#### How does hexadecimal relate to binary and denary systems?

Each hexadecimal digit corresponds to a four-bit binary sequence, making it a concise way to represent binary data. As for the denary system (our everyday base-10 system), hexadecimal is another way of representing numbers that can be directly converted back and forth.

#### How do we convert numbers between binary, denary, and hexadecimal?

There are specific methods for conversion. For example, to convert from binary to hexadecimal, group the binary number into sets of four bits from the right and then translate each group into a corresponding hexadecimal digit. Conversions from denary involve division (for conversion to binary or hexadecimal) or multiplication (for conversion from binary or hexadecimal) by the base number.

#### Where is the hexadecimal system commonly applied?

Hexadecimal is often used in computing and digital systems. Some of the applications include memory addressing, debugging, and representing color values in web design. Hexadecimal makes it easier to read and write these values than using binary.

#### What will students gain from learning about hexadecimal in the A Level Computer Science module?

Through this module, students will not only understand the theory behind hexadecimal numbers but also their practical applications in computer science. This knowledge is vital in various areas, such as low-level programming, memory addressing, and understanding computer architecture. It also serves as a foundation for many higher-level concepts in computer science.