The IBM 370 series computers have 32-bit words and perform 2's complement arithmetic: so too do Intel 80386, 80486, and Pentium computers. The IBM 370 series has sixteen 32-bit general purpose registers (R0, R15) and four double length (64-bit) floating point registers in its CPUs. Suppose IBM 370 registers R1 and R2 contain the following bit patterns in hexadecimal shorthand (express appropriate answers in hexadecimal shorthand too): (R1) = BCDFAF00 (R2) = 206E5640 a. Perform the following 2's complement fixed-point integer arithmetic operations and note whether magnitude overflow has occurred in each case. i) R3 = R1 + R2 ii) R3 = R1 - R2 b. Compute the following bit-by-bit logical operations and express your answers as 8-digit hexadecimal numbers: i) R3 = R1.AND.R2 = R1 R2 ii) R3 = R1.OR.R2 = R1 R2 iii) R3 = R1.XOR.R2 = R1 circledplus R2 iv) R3 = R1.XOR.R1 = R1 circledplus R1 v) R3 = NOT.R1 = R1 bar