A digital computer has a memory unit with $30$ bits per word. The instruction set consists

of $58$ different operations. All instructions have an operation code part $($opcode$)$ and two

address fields: one for a memory address and one for a register address. This particular

system includes eight general$-$purpose, user$-$addressable registers. Registers may be

loaded directly from memory, and memory may be updated directly from the registers.

Direct memory$-$to$-$memory data movement operations are not supported. Each instruction

is stored in one word of memory.

a$.$ How many bits are needed for the opcode?

b$.$ How many bits are needed to specify the register?

c$.$ How many bits are left for the memory address part of the instruction?

d$.$ What is the maximum allowable size for the memory?

e$.$ What is the largest unsigned binary number that can be accommodated in one

word of the memory?

List the hexadecimal code for the following program $($hand assemble it$),$ and predict what

will be stored in memory location $10$B after the program is executed.