$1)$ Assume a $32-$bit machine. Assume the registers and memory contain initial values as in the following tables:

Loop: slt $\backslash$$t$4,\backslash$$t$1,\backslash$$t$0$

bne $\backslash$$t$4,\backslash$$zero, skip

Iw $\backslash$$t$2,12(\backslash$$t$0)$

addi $\backslash$$ t$3,\backslash$$t$2,\backslash$$t$3$

sw $\backslash$$ $\backslash$$t$3,12(\backslash$$ t$0)$

j exit

skip: add $\backslash$$t$3,\backslash$$t$3,\backslash$$t$1$

addi $\backslash (\backslash$$ $\backslash$mathrm$\{$t$\}1,\backslash$$ $\backslash$mathrm$\{$t$\}1,1\backslash )$

j loop

exit:

a$.$ After executing the above MIPS instructions, what values will be in registers $\backslash (\backslash$$ $\backslash$mathrm$\{$t$\}0,\backslash$$ $\backslash$mathrm$\{$t$\}1,\backslash$$ $\backslash$mathrm$\{$t$\}2,\backslash$$ $\backslash$mathrm$\{$t$\}3\backslash ),$ and $\backslash (\backslash$$ $\backslash$mathrm$\{$t$\}4\backslash ),$ respectively?

b$.$ What is the content of the word in the memory at address $20$ after the above assembly code finishes the execution?

c$.$ What is the encoding for instruction Iw $\backslash$$t$2,12(\backslash$$t$0)$