Convert 1 from decimal to binary
(base 2) notation:
Power Test
Raise our base of 2 to a power
Start at 0 and increasing by 1 until it is >= 1
20 = 1 <--- Stop: This is equal to 1
Since 1 is equal to 1, we use our current power as our starting point which equals 0
Build binary notation
Work backwards from a power of 0
We start with a total sum of 0:
20 = 1
The highest coefficient less than 1 we can multiply this by to stay under 1 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
0 + 1 = 1
This = 1, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 1
Our binary notation is now equal to 1
Final Answer
We are done. 1 converted from decimal to binary notation equals 12.
