Perform the following calculations involving decimal values using $2\text{'}$s complement arithmetic within the amount of bit precision available. Show the resulting value in binary AND indicate if there is an overflow condition or not.

a$.,13+8$ with $5$ bits precision

b$.,13+8$ with $6$ bits precision

c$.,13-8$ with $5$ bits precision

d$.13-8$ with $6$ bits precision

e$.-13-8$ with $5$ bits precision

f$.,-13-8$ with $6$ bits precision

g$.,105-57$ with $8$ bits precision