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Convert 278 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 >= 278

16⁰ = 1

16¹ = 16

16² = 256

16³ = 4096 <--- Stop: This is greater than 278

Since 4096 is greater than 278, we use 1 power less as our starting point which equals 2

Build hexadecimal notation

Work backwards from a power of 2

We start with a total sum of 0:

16² = 256

The highest coefficient less than 15 we can multiply this by to stay under 278 is 1

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

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

This is <= 278, so we assign our outside coefficient of 1 for this digit.

Our new sum becomes 256

Our hexadecimal notation is now equal to 1

16¹ = 16

The highest coefficient less than 15 we can multiply this by to stay under 278 is 1

Multiplying this coefficient by our original value, we get: 1 * 16 = 16

Add our new value to our running total, we get:
256 + 16 = 272

This is <= 278, so we assign our outside coefficient of 1 for this digit.

Our new sum becomes 272

Our hexadecimal notation is now equal to 11

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 278 is 6

Multiplying this coefficient by our original value, we get: 6 * 1 = 6

Add our new value to our running total, we get:
272 + 6 = 278

This = 278, so we assign our outside coefficient of 6 for this digit.

Our new sum becomes 278

Our hexadecimal notation is now equal to 116

Final Answer