Write a script to find $N_{\text{m}\text{i}\text{n}},$ the smallest possible value for $N$ in Eq$.(1)$ so that $ln(5)$ evaluated using myLog with Matlab's defau double precision arithmetics is exact when written as a half$-$precision binary floating point number in engineering notation. Us decimal$2$binary developed in Module I to answer this question and do not use Matlab's half $().$ Just setting $N_{\text{m}\text{i}\text{n}}$ withou 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 myLog or decima $12$binary in your submission. Correct versions are used automatically on Matlab Grader.