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Answer
We are done. 156 converted from decimal to hexadecimal notation equals 9C16.

↓Steps Explained:↓



Convert 156 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 >= 156

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 156

Since 256 is greater than 156, 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 156 is 9

Multiplying this coefficient by our original value, we get: 9 * 16 = 144

Add our new value to our running total, we get:
0 + 144 = 144

This is <= 156, so we assign our outside coefficient of 9 for this digit.

Our new sum becomes 144

Our hexadecimal notation is now equal to 9


160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 156 is 12

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

Add our new value to our running total, we get:
144 + 12 = 156

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

This = 156, so we assign our outside coefficient of C for this digit.

Our new sum becomes 156

Our hexadecimal notation is now equal to 9C


Final Answer

We are done. 156 converted from decimal to hexadecimal notation equals 9C16.

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