MIPS Binary Search Using Stack

I have already written a program for QTSPIM using MIPS in which the user enters a selected amount of integers and it adds them onto a stack and sorts them one by one. What I would like someone to add is a simple binary search to the program I have already created. I have attached instructions on what should be included for the binary search and would like for all of the instructions to be met. If anyone is interested in taking the project let me know and I will send the Stack Sort program that I already finished. This project shouldn't take that long and I would like for it to be done within 24 hours.