Problem 1 (6 points): Addressing modes: Figure 2.33 in our text shows that ARM has nine addressing modes vs. three addressing modes for MIPS. Let's explore expanding the MIPS instruction set architecture by adding the register register (indexed) addressing. (a) Is it necessary to add a new instruction type to MIPS to accommodate indexed addressing? If so, propose a new format and show the assembly language format. If not, show how an existing MIPS instruction type can be used and show the assembly language format. (b) Consider the follow C language loop: for(i - 0; i