Convert 457 from decimal to hexadecimal (base 16) notation:

Start by raising our base of 16 to a power starting at 0 and increasing by 1 until it is >= 457

16

16

16

16

Since 4096 is greater than 457, we use 1 power less as our starting point which equals 2.

Now start building our hexadecimal notation working backwards from a power of 2.

We start with a total sum of 0:

16

The highest coefficient less than 15 we can multiply this by to stay under 457 is 1.

Multiplying this coefficient by our original value, we get: 1 * 256 = 256.

Adding our new value to our running total, we get: 0 + 256 = 256.

This is <= 457, so we assign our outside coefficient of 1 for this digit.

Our new sum becomes 256.

Our hexadecimal notation is now equal to 1

16

The highest coefficient less than 15 we can multiply this by to stay under 457 is 12.

Multiplying this coefficient by our original value, we get: 12 * 16 = 192.

Adding our new value to our running total, we get: 256 + 192 = 448.

Hexadecimal (10 - 15) are represented by an (A-F) where 12 translates to the letter C.

This is <= 457, so we assign our outside coefficient of C for this digit.

Our new sum becomes 448.

Our hexadecimal notation is now equal to 1C

16

The highest coefficient less than 15 we can multiply this by to stay under 457 is 9.

Multiplying this coefficient by our original value, we get: 9 * 1 = 9.

Adding our new value to our running total, we get: 448 + 9 = 457.

This = 457, so we assign our outside coefficient of 9 for this digit.

Our new sum becomes 457.

Our hexadecimal notation is now equal to 1C9

We are done. 457 converted from decimal to hexadecimal notation equals