Answer
↓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.Take the Quiz
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