A machine has a $$32$$-bit architecture, with $$1$$-word long instructions. It has $$64$$ registers, each of which is $$32$$ bits long. It needs to support $$45$$ instructions, which have an immediate operand in addition to two register operands. Assuming that the immediate operand is an unsigned integer, the maximum value of the immediate operand is ____________.

Consider two processors ܲ$${P_1}$$ and $${P_2}$$ executing the same instruction set. Assume that under identical conditions, for the same input, a program running on $${P_2}$$ takes $$25$$% less time but incurs $$20$$% more $$CPI$$ (clock cycles per instruction) as compared to the program running on ܲ$${P_1}$$ If the clock frequency of ܲ$${P_1}$$ is $$1GHz,$$ then the clock frequency of $${P_2}$$ (in $$GHz$$) is _____________.

Consider a hypothetical processor with an instruction of type $$LW$$ $$R1, 20(R2),$$ which during execution reads a $$32$$-bit word from memory and stores it in a $$32$$-bit register $$R1.$$ The effective address of the memory location is obtained by the addition of a constant $$20$$ and the contents of register $$R2.$$ Which of the following best reflects the addressing mode implemented by this instruction for the operand in memory?

On a non-pipelined sequential processor, a program segment, which is a part of the interrupt service routine, is given to transfer $$500$$ bytes from an $${\rm I}/O$$ device to memory. Initialize the address register Initialize the count to $$500$$

$$LOOP:$$ Load a byte from device Store in memory at address given by address register
Increment the address register
Decrement the count
If count! $$=0$$ go to $$LOOP$$

Assume that each statement in this program is equivalent to a machine instruction which takes one clock cycle to execute if it is a non load/store instruction. The load-store instructions take two clock cycles to execute.

The designer of the system also has an alternate approach of using the $$DMA$$ controller to implement the same transfer. The $$DMA$$ controller requires $$20$$ clock cycles for initialization and other overheads. Each $$DMA$$ transfer cycle takes two clock cycles to transfer one byte of data from the device to the memory.

What is the approximate speed up when the $$DMA$$ controller based design is used in place of the interrupt driven program based input- output?