Problem $3$: Use LC$-3$ Instruction to write your solution code:

Assuming the BUSYNESS bit vector is stored in R$2,$ we can use the LC$-3$ instruction

$0101011010100001($AND R$3,$ R$2,$ #$1)$

to determine whether machine $0$ is busy or not. If the result of this instruction is $0,$ then machine $0$ is busy.

a$.$ Write an LC$-3$ instruction that determines whether machine $2$ is busy.

b$.$ Write an LC$-3$ instruction that determines whether both machines $2$ and $3$ are busy.

c$.$ Write an LC$-3$ instruction that indicates none of the machines are busy.

d$.$ Write an LC$-3$ instruction that determines whether machine $6$ is busy?

Please make sure to attach algorithm$$s assembly language script, screenshots of the memory addresses where your algorithm code is stored, also attach screenshots of simulation results and screenshots of the stack. Please add comments where it is appropriate.