< b="" />Hexadecimal Number System< />
The hexadecimal number system has a base of 16. This means that it uses 16 different symbols to represent numbers, similar to the decimal system that uses 10 symbols (0-9).
< b="" />Explanation< />
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< li="" /> The hexadecimal number system uses the symbols 0-9 and A-F to represent numbers.
< li="" /> The digits in hexadecimal represent values from 0 to 15, where A=10, B=11, C=12, D=13, E=14, and F=15.
< li="" /> To convert a hexadecimal number to decimal, you can multiply each digit by 16 raised to the power of its position from right to left, starting with 0.
< li="" /> For example, the hexadecimal number 3A7 can be converted to decimal as follows:
- 3 x 16^2 + 10 x 16^1 + 7 x 16^0 = 3 x 256 + 10 x 16 + 7 x 1 = 768 + 160 + 7 = 935.
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< b="" />Benefits of Hexadecimal System< />
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< li="" /> The hexadecimal system is commonly used in computing because it is more compact than binary and easier to read than binary or octal.
< li="" /> It is also a convenient way to represent binary numbers in a more human-readable format.
< li="" /> Hexadecimal numbers are widely used in programming languages and computer science.
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