Write a script to find $N_{\text{m}\text{i}\text{n}},$ the smallest possible value for $N$ in Eq$.($I$)$ so that $ln(5)$ evaluated using my Log with Matlab's default double precision arithmetics is exact when written as a half$-$precision binary floating point number in engineering notation. Use decimal$2$binary developed in Module I to answer this question and do not use Matlab's half $().$ Just setting $N_{\text{m}\text{i}\text{n}}$ without an algorithm to find its value will not give any credit.

Notes for the MatlabGrader script submission:

Comment out clear or clear all in your script when submitting to MatlabGrader.

Store the answer in the variable Nmin.

Do not include the source code for my Log or decima $12$ binary in your submission. Correct versions are used automatically on Matlab Grader.