Answer
↓Steps Explained:↓
Convert 158 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 >= 158
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 158
Since 256 is greater than 158, 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 158 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 <= 158, 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 158 is 14
Multiplying this coefficient by our original value, we get: 14 * 1 = 14
Add our new value to our running total, we get:
144 + 14 = 158
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This = 158, so we assign our outside coefficient of E for this digit.
Our new sum becomes 158
Our hexadecimal notation is now equal to 9E
Final Answer
We are done. 158 converted from decimal to hexadecimal notation equals 9E16.Take the Quiz
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