Base Change Conversions Calculator

Crop Image

×

Crop

Convert 250 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 >= 250

16⁰ = 1

16¹ = 16

16² = 256 <--- Stop: This is greater than 250

Since 256 is greater than 250, 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 250 is 15

Multiplying this coefficient by our original value, we get: 15 * 16 = 240

Add our new value to our running total, we get:
0 + 240 = 240

Hexadecimal (10 - 15) are represented by an (A-F) where 15 translates to the letter F

This is <= 250, so we assign our outside coefficient of F for this digit.

Our new sum becomes 240

Our hexadecimal notation is now equal to F

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 250 is 10

Multiplying this coefficient by our original value, we get: 10 * 1 = 10

Add our new value to our running total, we get:
240 + 10 = 250

Hexadecimal (10 - 15) are represented by an (A-F) where 10 translates to the letter A

This = 250, so we assign our outside coefficient of A for this digit.

Our new sum becomes 250

Our hexadecimal notation is now equal to FA

Final Answer