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Answer
We are done. 236 converted from decimal to hexadecimal notation equals EC16.

↓Steps Explained:↓



Convert 236 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 >= 236

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 236

Since 256 is greater than 236, 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 236 is 14

Multiplying this coefficient by our original value, we get: 14 * 16 = 224

Add our new value to our running total, we get:
0 + 224 = 224

Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E

This is <= 236, so we assign our outside coefficient of E for this digit.

Our new sum becomes 224

Our hexadecimal notation is now equal to E


160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 236 is 12

Multiplying this coefficient by our original value, we get: 12 * 1 = 12

Add our new value to our running total, we get:
224 + 12 = 236

Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C

This = 236, so we assign our outside coefficient of C for this digit.

Our new sum becomes 236

Our hexadecimal notation is now equal to EC


Final Answer

We are done. 236 converted from decimal to hexadecimal notation equals EC16.

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