Answer
↓Steps Explained:↓
Convert 174 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 >= 174
160 = 1
161 = 16
162 = 256 <--- Stop: This is greater than 174
Since 256 is greater than 174, 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 174 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 <= 174, 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 174 is 14
Multiplying this coefficient by our original value, we get: 14 * 1 = 14
Add our new value to our running total, we get:
160 + 14 = 174
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This = 174, so we assign our outside coefficient of E for this digit.
Our new sum becomes 174
Our hexadecimal notation is now equal to AE
Final Answer
We are done. 174 converted from decimal to hexadecimal notation equals AE16.Take the Quiz Switch to Chat Mode
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