Number Systems: Decimal, Binary, Octal and Hexadecimal
Positional number systems express the same underlying value using different bases.
Summary
Positional number systems express the same underlying value using different bases. Each digit contributes its value multiplied by a power of the base: . The radix point separates nonnegative powers on the left from negative powers on the right.
🧠 Key Concepts
- Positional Value
- Base and Radix
- Digit Sets
- Radix Point
- Integer Conversion
- Fractional Conversion
- Bit Grouping
- Floating Point Approximation
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Number Systems: Decimal, Binary, Octal and Hexadecimal
📘 Overview Decimal, binary, octal, and hexadecimal represent values using different positional bases. Binary expresses bit patterns directly, while octal and hexadecimal provide compact representations of those patterns.
🧠 Key Idea A numeral's value depends on both its digits and its base: each position contributes a digit multiplied by a power of the base. Changing the base changes the representation, not the underlying value.
⚔️ Core Details: - Positional value:
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Part of 🗄️ BS Information Systems — 1st Year
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