You’re being too nice – the question as asked makes no sense whatsoever.
fuzzball27:
Is there an algebraic equation to convert between base10 and binary?
The issue here is that “base10” and “binary” are terms related to visual representation whereas algebra involves numeric quantities. Whether the quantities are visualized as binary, octal, hex or decimal has no bearing on algebra. He may as well ask for an equation to convert between blue and red numbers or bold and normal numbers.