hypothetical computer stores floating point numbers in $9-$bit words. The first bit is used for the sign of the number, the second bit for the sign of the exponent, the next three bits for the magnitude of the exponent, and the next four bits for the magnitude of the mantissa. Every second, the error between $0\mathrm{.}1$ and its binary representation in the $9-$bit word is accumulated. The accumulated error after one day most nearly is