Read three integers $x,y,$ and $z.$

If $x>y$ then

Set $x$ to $x+z-y$

Output $x$

Else

Output $0$

$(12$ points$)$ Consider the following Assembly program and the opcode table in Fig$-$

ure $1.$

$($a$)$ What does the program do$?$ Explain this by writing an algorithm in pseudocode

that is equivalent to this assembly code.

$($b$)$ Assuming the machine instruction is composed of a $4-$bit opcode and a $5-$bit

address field; give the binary machine code for the first $3$ instructions only.

$($c$)$ What value is entered in the symbol table for the symbols LOOP, SUB, DONE, X$,$ Y$,$

and ZERO in the previous assembly program? $($Assume that the program is loaded

beginning with memory location $0).$

Figure $1$: Typical assembly language instruction set