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binary number systems
A LevelComputer Science~4 min read
Overview
This lesson introduces the binary number system, the fundamental language of computers. We will explore how binary numbers represent data, perform conversions between binary, denary (decimal), and hexadecimal, and understand the significance of bits and bytes.
Introduction to Number Systems
Computers operate using electrical signals that are either on or off, which can be represented by two states: 0 and 1. This forms the basis of the **binary number system (base-2)**. In contrast, humans typically use the **denary (decimal) number system (base-10)**, which employs ten digits (0-9). Un...
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Key Concepts
- Binary: A base-2 number system using only digits 0 and 1.
- Denary (Decimal): The base-10 number system we use daily, with digits 0-9.
- Hexadecimal: A base-16 number system, often used as a shorthand for binary.
- Bit: The smallest unit of data in computing, representing a 0 or a 1.
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Exam Tips
- →Practice conversions regularly: Be proficient in converting between binary, denary, and hexadecimal in both directions. Use a systematic approach like repeated division for denary to binary.
- →Memorise powers of 2: Knowing powers of 2 up to 2^8 or 2^10 will significantly speed up binary-to-denary conversions and help with understanding data sizes.
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