Note: For both programs, you are asked to use LDI and STI to load from and store to the designated data address.

$(2$ points$)$ Write an LC$-3$ program $($starts at x $3000)$ in hexadecimal that rotates the bit pattern stored at $x4000$ to the right by the amount specified by a number stored at $x4001.$ The rotated pattern is then stored at x $4002.$

For example, if we set Mem$[x4000]=0001001101110000$ and Mem$[x4001]=9,$ then after the program executes, Mem$[$x$4002]=1011100000001001.$

$(2$ points$)$ Write an LC$-3$ program $($starts at x $3000)$ in hexadecimal that reverses the bit pattern stored at x $4000.$ The reversed pattern is then stored at x $4001.$

For example, if we set Mem$[$x$4000]=$ x$9871=1001100001110001,$ then after the program executes, Mem$[x4001]=1000111000011001=x8E19$