The microinstructions stored in the control memory of a processor have a width of $26$ bits. Each microinstruction is divided into three fields: a micro-operation field of $13$ bits, a next address field $(X),$ and a MUX select field $(Y).$ There are $8$ status bits in the input of the MUX.
How many bits are there in the $X$ and $Y$ fields, and what is the size of the control memory in number of words?
- $10, 3, 1024$
- $8, 5, 256$
- $5, 8, 2048$
- $10, 3, 512$