Answer
↓Steps Explained:↓
Convert 91 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 >= 91
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 91
Since 256 is greater than 91, 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 91 is 5
Multiplying this coefficient by our original value, we get: 5 * 16 = 80
Add our new value to our running total, we get:
0 + 80 = 80
This is <= 91, so we assign our outside coefficient of 5 for this digit.
Our new sum becomes 80
Our hexadecimal notation is now equal to 5
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 91 is 11
Multiplying this coefficient by our original value, we get: 11 * 1 = 11
Add our new value to our running total, we get:
80 + 11 = 91
Hexadecimal (10 - 15) are represented by an (A-F) where 11 translates to the letter B
This = 91, so we assign our outside coefficient of B for this digit.
Our new sum becomes 91
Our hexadecimal notation is now equal to 5B
Final Answer
We are done. 91 converted from decimal to hexadecimal notation equals 5B16.Take the Quiz
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