Convert 2 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 >= 2
20 = 1
21 = 2 <--- Stop: This is equal to 2
Since 2 is equal to 2, we use our current power as our starting point which equals 1
Build binary notation
Work backwards from a power of 1
We start with a total sum of 0:
21 = 2
The highest coefficient less than 1 we can multiply this by to stay under 2 is 1
Multiplying this coefficient by our original value, we get: 1 * 2 = 2
Add our new value to our running total, we get:
0 + 2 = 2
This = 2, so we assign our outside coefficient of 1 for this digit.
Our new sum becomes 2
Our binary notation is now equal to 1
20 = 1
The highest coefficient less than 1 we can multiply this by to stay under 2 is 1
Multiplying this coefficient by our original value, we get: 1 * 1 = 1
Add our new value to our running total, we get:
2 + 1 = 3
This is > 2, so we assign a 0 for this digit.
Our total sum remains the same at 2
Our binary notation is now equal to 10
