Suppose we have a 16-bit MIPS processor instead of a 32-bit version. The R-type instruction has a 3-bit opcode, rs, rt & rd fields, 4-bit funct field. The I-type has a 3-bit opcode, rs & rt fields, 7-bit immediate field. The J-type has a 3-bit opcode and 13-bit target address field. Determine the max. no. of registers & the size of the MUX used in the register file for reading. Considering there are only 3 types of jump instruction, determine the max. no. of unique R-type & I-type instructions. Also, find out the range of the branch & jump instruction in terms of bytes. The working of branch & jump instructions is the same as in 32-bit version.