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Explain the concept of a number base and how it... - SS3 ICT Overview Of Number Bases Question

Explain the concept of a number base and how it affects the representation of numbers.

 

A number base, also known as a numeral system or radix, is a mathematical system used to represent numbers using a set of symbols. It affects the representation of numbers by determining how the value of each digit in a number is weighted. The base of a number system represents the number of unique symbols (digits) used in that system. For example, in the decimal system (base-10), we use 10 digits (0-9), and each digit represents a power of 10. In the binary system (base-2), we use 2 digits (0 and 1), and each digit represents a power of 2. Different bases offer different ways to express the same quantity, which can be more convenient for specific applications.

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