In each of the following subtasks, enter at least one meaningful intermediate step before the final result. Pay attention to the units in each case and also make sure to state the result in the correct unit.

a$)$How many bytes does a memory field with $10$ address bits and $32$ data bits contain?

b$)$How many bits does a memory field with $16$ address bits and $16$ data bits contain?

c$)$How many address bits does a memory field with a word width of $8$ bits need to store a total of $512$ bits?

d$)$ How many address bits does a memory field with a word width of $256$ bits need to store a total of $1$ TiByte?