Answer
↓Steps Explained:↓
Convert 155 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 >= 155
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 155
Since 256 is greater than 155, 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 155 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 <= 155, 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 155 is 11
Multiplying this coefficient by our original value, we get: 11 * 1 = 11
Add our new value to our running total, we get:
144 + 11 = 155
Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B
This = 155, so we assign our outside coefficient of B for this digit.
Our new sum becomes 155
Our hexadecimal notation is now equal to 9B
Final Answer
We are done. 155 converted from decimal to hexadecimal notation equals 9B16.Related Calculators: Bit Shifting | RGB and HEX conversions | Stoichiometry Conversion