Convert the octal value 7258 into hexadecimal.
Question
Convert the octal value 7258 into hexadecimal.
Solution
Sure, here are the steps to convert the octal value 7258 into hexadecimal:
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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
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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.
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Write down the remainders in reverse order of calculation.
So, the hexadecimal equivalent of the octal number 7258 is EF4.
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