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Convert 16 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 >= 16

16⁰ = 1

16¹ = 16 <--- Stop: This is equal to 16

Since 16 is equal to 16, we use our current power 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 16 is 1

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

Add our new value to our running total, we get:
0 + 16 = 16

This = 16, so we assign our outside coefficient of 1 for this digit.

Our new sum becomes 16

Our hexadecimal notation is now equal to 1

16⁰ = 1

The highest coefficient less than 15 we can multiply this by to stay under 16 is 1

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

Add our new value to our running total, we get:
16 + 1 = 17

This is > 16, so we assign a 0 for this digit.

Our total sum remains the same at 16

Our hexadecimal notation is now equal to 10

Final Answer

Tags:

• base change conversions
• base
• binary
• conversion
• hexadecimal
• octal