What is the machine language encoding for the following MIPS instructions? Give the answers in hexadecimal (hex). All offsets are in decimal.
(i) add $6, $7, $8
(ii) lw $5, 4($6)
(iii) addiu $3, $2, -2000
(iv) sll $3, $7, 12
(v) beq $6, $5, -16
(vi) j 4000