Why is two to the power of zero equal to binary one? Probably a simple question and possibly not asked very well. What I want to know is..
In binary, a decimal value of 1 is also 1.
It can be expressed as  $x = 1 \times 2^0$
Question:
Why is two to the power of zero equal to one?
I get that two to the power of one is equal to two, or binary 10, but why is to the power of zero equal to one, is this a math convention? is there a link I could read?

Any number (except zero) to the zero power equals one.  There are many ways to justify it.  Easiest (to me) is to make the laws of exponents work.  We know that $a^b/a^c=a^{b-c}$.  Now put b=c
