When silicon chips are fabricated, defects in materials $($e$.$g$.,$ silicon$)$ and manufacturing errors can result in defective circuits. A very common defect is for one signal wire to get "broken" and always register a logical $1.$ This is often called a "stuck$-$at$-1"$ fault. When you list instructions, assume instructions are only of the following types: loads, stores, arithmetic $($R$-$type$),$ arithmetic with immediate$($I$-$type$),$ and branches.

$($a$)$ Which instructions fail to operate correctly if the MemToReg wire is stuck at $1?$

$($b$)$ Which instructions fail to operate correctly if the ALUSrc wire is stuck at $1?$

$($c$)$ Which instructions fail to operate correctly if the Reg$2$Loc wire is stuck at $1?$