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Q: How many digits in octal and hexadecimal number?

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.. octal adj. Of, relating to, or based on the number eight: an octal number ... isthe base-8 number system,

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There are 6 digits in a hexadecimal because the root, hex in math means six. Like hexagon which has 6 sides, so the hexadecimal has 6 digits.

16.

It is an irrational number. All irrational numbers have infinitely long non-recurring representations in the decimal system. Using the binary, octal, hexadecimal or any other rational base will not make a difference. The representation will remain infinitely long and non-recurring.

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.. octal adj. Of, relating to, or based on the number eight: an octal number ... isthe base-8 number system,

The hexadecimal system is base 16.

It turns out that using the binary system - base 2 - requires circuits that are extremely simple, compared to circuits that manage decimal (base 10) numbers. So, internally, computers do lots of stuff in binary. Octal and hexadecimal numbers are used as shorthand for binaries, to make them readable for humans. This is because on average, a number written in binary digits requires 3-4 times as many digits as a number in decimal. Each octal (base 8) number simply represents three bits (binary digits); while each hexadecimal (base 16) number represents 4 bits.

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There are 6 digits in a hexadecimal because the root, hex in math means six. Like hexagon which has 6 sides, so the hexadecimal has 6 digits.

Memory dump which are in binary numbers would have many numbers of 0s and 1s. working with these numbers would be very difficult. Hence two number system hexadecimal and octal number system is used because these numbers are inter convertible with binary numbers by the concept of bits.

16

16.

Considering the lowest five digit hexadecimal number is 10000 (65,536) and the highest is FFFFF (1,048,575), there are 983,040 different hexadecimal numbers that are five digits.

It is an irrational number. All irrational numbers have infinitely long non-recurring representations in the decimal system. Using the binary, octal, hexadecimal or any other rational base will not make a difference. The representation will remain infinitely long and non-recurring.

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