Computer Systems: A Programmer's Perspective, 3rd Edition, 3.59: https://www.chegg.com/homework-help/Computer-Systems-3rd-edition-chapter-3-problem-59HWP-solution-9780134092669 WARNING! Do not spam this question with an unrelated answer involving division or simply copying and pasting text from the prompt. Otherwise, you will be banned from Chegg.

The following code computes the 128-bit product of two 64-bit signed values x and y and stores the result in memory: 1 typedef --int 128 int128 t 3 void store prod (int128 t *dest, int64 t x, int64_t y) t *dest x (int 128-t) y; Gcc generates the following assembly code implementing the computation: store prod movq %rdx, %rax Cqto movq. %rsi, r (CX Sara $63, CX imula %rax, %rcx 7 imulq %rsi %rdx %rdx add %rcx %r mulg S1 %rcx, %rdx 10 movq hrax, (%rdi) 11 12 movq %rdx, 8 (%rdi) 13 ret This code uses three multiplications for the muitiprecision arithmetic required to implement 128- bit arithmetic on a 64-bit machine. Describe the algorithm used to compute the product, and annotate the assembly code to show how it realizes your algorithm. Hint When extending arguments ofxand y to 128 bits, they can be rewritten as x 264 x 264 xh +xl and y 264 yh yl, where xin, xi, yh, and yi are 64-bit values. Similarly, the 128-bit product can be written as p 264 ph pl where Ph and pu are 64-bit values. Show how the code computes the values of ph and pl in terms of xh, xi, yh, and yi. The following code computes the 128-bit product of two 64-bit signed values x and y and stores the result in memory: 1 typedef --int 128 int128 t 3 void store prod (int128 t *dest, int64 t x, int64_t y) t *dest x (int 128-t) y; Gcc generates the following assembly code implementing the computation: store prod movq %rdx, %rax Cqto movq. %rsi, r (CX Sara $63, CX imula %rax, %rcx 7 imulq %rsi %rdx %rdx add %rcx %r mulg S1 %rcx, %rdx 10 movq hrax, (%rdi) 11 12 movq %rdx, 8 (%rdi) 13 ret This code uses three multiplications for the muitiprecision arithmetic required to implement 128- bit arithmetic on a 64-bit machine. Describe the algorithm used to compute the product, and annotate the assembly code to show how it realizes your algorithm. Hint When extending arguments ofxand y to 128 bits, they can be rewritten as x 264 x 264 xh +xl and y 264 yh yl, where xin, xi, yh, and yi are 64-bit values. Similarly, the 128-bit product can be written as p 264 ph pl where Ph and pu are 64-bit values. Show how the code computes the values of ph and pl in terms of xh, xi, yh, and yi