Base Change Conversions Calculator

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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