Some Basic Questions on Decimals through Addresses

1. (e) Placing the origin at the left endpoint of the inch, we subdivide the inch into halves with these functions.

f0(x) = x/2   and   f1(x) = x/2 + 1/2

Calling I the unit interval and denoting by I0, I1, I00, I01, ... the regions with addresses 0, 1, 00, 01, ... , we see

I0 = f0(I),   I1 = f1(I),   I00 = f0(f0(I)),   I01 = f0(f1(I)),   I10 = f1(f0(I)),   I11 = f1(f1(I))

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