- Using the AND-OR-Invert implementation procedure, show that the output carry in full adder can be expressed as
$C _{i+1} = G _i + P _iC _i = (G _i’P _i + G _i’C _i’)’$
- IC type 74182 is a look-ahead carry generator MSI circuits that generate the carries with AND-OR-INVERT gates. The MSI circuit Assumes that the input terminals have the complements of the G’s. the P’s and of $C _1$. Derive the boolean function for the look-ahead carries $C _2 C _3 and C _4$ in this IC (HINT: Use the equation substitution method to derive carries in terms of $C _1’$).
