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Convert the octal value 7258 into hexadecimal.

Question

Convert the octal value 7258 into hexadecimal.

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Solution

Sure, here are the steps to convert the octal value 7258 into hexadecimal:

  1. Convert the octal number to decimal first. The octal number system is base 8, so each digit represents a power of 8.

    8^3 * 7 + 8^2 * 2 + 8^1 * 5 + 8^0 * 8 = 3656 + 128 + 40 + 8 = 3832

  2. Now, convert the decimal number to hexadecimal. The hexadecimal system is base 16.

    3832 / 16 = 239 remainder 4. 4 in hexadecimal is 4. 239 / 16 = 14 remainder 15. 15 in hexadecimal is F. 14 / 16 = 0 remainder 14. 14 in hexadecimal is E.

  3. Write down the remainders in reverse order of calculation.

    So, the hexadecimal equivalent of the octal number 7258 is EF4.

This problem has been solved

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