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Answer
We are done. 188 converted from decimal to hexadecimal notation equals BC16.

↓Steps Explained:↓



Convert 188 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 >= 188

160 = 1

161 = 16

162 = 256 <--- Stop: This is greater than 188

Since 256 is greater than 188, 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 188 is 11

Multiplying this coefficient by our original value, we get: 11 * 16 = 176

Add our new value to our running total, we get:
0 + 176 = 176

Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B

This is <= 188, so we assign our outside coefficient of B for this digit.

Our new sum becomes 176

Our hexadecimal notation is now equal to B


160 = 1

The highest coefficient less than 15 we can multiply this by to stay under 188 is 12

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

Add our new value to our running total, we get:
176 + 12 = 188

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

This = 188, so we assign our outside coefficient of C for this digit.

Our new sum becomes 188

Our hexadecimal notation is now equal to BC


Final Answer

We are done. 188 converted from decimal to hexadecimal notation equals BC16.

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