In the ARMv$8$ architecture, there are $31$ general$-$purpose registers available for both $32-$bit $($W$-$type$)$ and $64-$bit $($X$-$type$)$ operations. These registers are addressed in machine instructions, which point to the specific registers being used. Considering the ARMv$8$ architecture, if a machine instruction is designed to point to one of the $32-$bit W$-$type registers, and another instruction is designed to point to one of the $64-$bit X$-$type registers, how many bits are required in each instruction to address the registers?