The hexadecimal system is a base 16 system, just as binary is base 2 and decimal is base 10. The same way that a binary system is more practical for hardware and software implications, hexadecimal is great for easy viewing of binary numbers. It's a lot easier, in the opinion of most, to look at 1FE4 than it is to get the same information as quickly from 0001111111100100. Hexadecimal numbers can also be easily converted to the seven segment display commonly used on electric signs and scoreboards to display numbers and some letters.
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hexa decimal system is used in computer system because computer is especially formed for the calculation. Hexa decimal is a collection of number 0-9 and A-F where a large numbers are include so from this we can easily calculate the large numbers.