Initialize low to 1 and high to n as the initial range for binary search.
While low is less than high:
a. Calculate mid as the average of low and high.
b. Compute the sum of binomial coefficients from 1 to k for mid.
c. If the sum is greater than or equal to n, update high to mid.
d. Otherwise, update low to mid + 1.
Return low as the minimum number of moves required.