1 / 1 = 1 mod 2^1
1 / 01 = 01 mod 2^2
1 / 001 = 001 mod 2^3
1 / 0001 = 0001 mod 2^4
1 / 11 = 11 mod 2^2
1 / 101 = 101 mod 2^3
1 / 111 = 111 mod 2^3
1 / 1001 = 1001 mod 2^4
1 / 1011 = 0011 mod 2^4
1 / 1101 = 0101 mod 2^4
1 / 1111 = 1111 mod 2^4
1 / 01010101010101010101010101010101 = 11111111111111111111111111111101 mod 2^32