# Octal to HEX

Converting a number from Octal to Hexadecimal can seem like a daunting process. However, by following a few steps, it's easy to make the conversion. The first step is to convert the octal number to a decimal number. This is done by multiplying the digits in the octal number from right to left, with the nth power of 8 where n is the distance from the right. Reading the octal number from right to left, the distance from the right is equal to the nth power of 8 that the digit needs to be multiplied with. This can be represented in the formula decimal number 10 = (d0 x 80) + (d1 x 81) +... + (dn-1 x 8n-1). In this formula, d0 is the octal digit furthest to the right, d1 is the digit one position from the right, and dn-1 is the digit furthest to the left. Once the number is converted to decimal, it can easily be converted to a hexadecimal number by following a few simple steps.

Step Two: Converting Decimal to Hexadecimal To convert a decimal number to its hexadecimal equivalent, you must divide the decimal number by 16 using long division. You should obtain a remainder of 0 up to 15, which should be written to the side of the division problem. For remainders bigger than 9, you should convert it to its hexadecimal counterpart by substituting 10 to ‘a’, 11 to ‘b’, 12 to ‘c’ and so on. Then take the result of the first division and divide it again by 16. Make sure to take note of the resulting remainder that is attached to the division problem. Repeat the process until eventually, you will arrive at 0. The remainders that you had written to the division problems are the resulting hexadecimal number. When reading the value of the number, it should be done bottom to top since the least significant digit would be on the top and the most significant one will be at the bottom.

If you need to convert an octal to hexadecimal, you can use the same method but divide the octal value by 8 instead of 16. Once done, keep track of the remainders, and convert each one appropriately. To create the final value, arrange the remainders in the same manner as before - starting from the bottom to the top.

This is the easiest way to convert any decimal or octal value to hexadecimal. Through the help of long division and keeping track of remainders, you are able to make the transition from decimal to hexadecimal in a relatively easy and understandable manner.

##### Noor Muhammad

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