A computer uses a memory unit of $512$ K words of $32$ bits each. A binary instruction code is stored in one word of the memory. The instruction has four parts: an addressing mode field to specify one of the two$-$addressing mode $($direct and indirect$),$ an operation code, a register code part to specify one of the $256$ registers and an address part. How many bits are there in addressing mode part, opcode part, register code part and the address part?