Exercise 1 a Counting Loop

Write an MIPS program that computes the sum of the integers from 1 to 100 by addition: 1 + 2 + 3 + 4 + 5 + ... + 98 + 99 + 100 Do this by using the blt macro (branch if less than). Before the loop, initialize a register to zero to contain the sum, initialize another register to one (to be the counter), and another register to 101 to mark the end of the sequence. Inside the loop, add the counter to the sum, increment the counter and blt back to the top of the loop if the counter is less than 101. Single-step the program until you get a good idea of how it is working. Then let the program run. To stop the program, use syscall with the code 10 in $v0. Exercise 2 more counting

Extend your program from exercise 1 to compute three sums: 1 + 2 + 3 + 4 + ... + 99 + 100 # all values 1100 1 + 3 + 5 + 7 + ... + 97 + 99 # all odd values 1100 2 + 4 + 6 + 8 + ... + 98 + 100 # all even values 1100 Use a register (say $t0) for the sum of evens, a register (say $t1) for the sum of odds, and another (say $t2) for the sum of all numbers. Do this with only one counting loop. The loop body will contain the logic to add the count to the proper sums. Don't use division to check odd or even, it is not necessary. A bitwise instruction is enough. Again, stop the program with a syscall with 10 in $v0.