Consider a load$-$store type machine with the following specifications:

$232$ x bytes of memory

$32-$bit fixed format instructions

$3232-$bit general purpose registers $($GPR$)$

$3-$address register$-$to$-$register arithmetic instructions

$$ Single address mode for load$/$store: base $+$ displacement

$$ Capable of performing a total of $32$ arithmetic operations

For simplicity assume that the machine only performs arithmetic operations plus data transfer operations $($i$.$e$.$ load and store$).$ b$)$ Give an instruction format for the arithmetic operations. To do this draw a diagram of the instruction format with each field clearly specified.

For each field indicate its size, the reason for selected size, and a description of what purpose the field serves.