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Answer
Success!
We are done. 247 converted from decimal to hexadecimal notation equals F716.

↓Steps Explained:↓

Convert 247 from decimal to hexadecimal

(base 16) notation:

Power Test

Raise our base of 16 to a power

Start at 0 and increasing by 1 until it is >= 247

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 247

Since 256 is greater than 247, we use 1 power less as our starting point which equals 1

Build hexadecimal notation

Work backwards from a power of 1

We start with a total sum of 0:


161 = 16

The highest coefficient less than 15 we can multiply this by to stay under 247 is 15

Multiplying this coefficient by our original value, we get: 15 * 16 = 240

Add our new value to our running total, we get:
0 + 240 = 240

Hexadecimal (10 - 15) are represented by an (A-F) where 15 translates to the letter F

This is <= 247, so we assign our outside coefficient of F for this digit.

Our new sum becomes 240

Our hexadecimal notation is now equal to F


160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 247 is 7

Multiplying this coefficient by our original value, we get: 7 * 1 = 7

Add our new value to our running total, we get:
240 + 7 = 247

This = 247, so we assign our outside coefficient of 7 for this digit.

Our new sum becomes 247

Our hexadecimal notation is now equal to F7


Final Answer

We are done. 247 converted from decimal to hexadecimal notation equals F716.
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