an imaginary computer has

$1$

$6$

$$data registers r

$0$

$$to r

$1$

$5$

$,$

$$these can address al

$5$

$1$

$2$

$$words of memory, the computer also has

$1$

$6$

$$different instructions, assuming the typical instruction uses the format : OP M Rn where OP is the operation, M is the memory location and Rn is one of the data registers.