Answer
↓Steps Explained:↓
Convert 122 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 >= 122
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 122
Since 256 is greater than 122, 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 122 is 7
Multiplying this coefficient by our original value, we get: 7 * 16 = 112
Add our new value to our running total, we get:
0 + 112 = 112
This is <= 122, so we assign our outside coefficient of 7 for this digit.
Our new sum becomes 112
Our hexadecimal notation is now equal to 7
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 122 is 10
Multiplying this coefficient by our original value, we get: 10 * 1 = 10
Add our new value to our running total, we get:
112 + 10 = 122
Hexadecimal (10 - 15) are represented by an (A-F) where 10 translates to the letter A
This = 122, so we assign our outside coefficient of A for this digit.
Our new sum becomes 122
Our hexadecimal notation is now equal to 7A
Final Answer
We are done. 122 converted from decimal to hexadecimal notation equals 7A16.Take the Quiz
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