Answer
↓Steps Explained:↓
Convert 167 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 >= 167
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 167
Since 256 is greater than 167, 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 167 is 10
Multiplying this coefficient by our original value, we get: 10 * 16 = 160
Add our new value to our running total, we get:
0 + 160 = 160
Hexadecimal (10 - 15) are represented by an (A-F) where 10 translates to the letter A
This is <= 167, so we assign our outside coefficient of A for this digit.
Our new sum becomes 160
Our hexadecimal notation is now equal to A
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 167 is 7
Multiplying this coefficient by our original value, we get: 7 * 1 = 7
Add our new value to our running total, we get:
160 + 7 = 167
This = 167, so we assign our outside coefficient of 7 for this digit.
Our new sum becomes 167
Our hexadecimal notation is now equal to A7
Final Answer
We are done. 167 converted from decimal to hexadecimal notation equals A716.Take the Quiz
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