Show that the output carry in a full adder circuit can beexpressed in the AND-OR-INVERT from
Ci+1= G1 + P1C1 = (G1'P1 + G1' C1')'
IC type 74182 is a look-ahead carry generator circuit thatgenerates the carries with AND-OR-INVERT gates. The ciruit assumesthat the input terminals have the complements of the G's, the P's,and of C1. Derive the boolean functions for thelook-ahead carries C2, C3, and C4in this IC. (Hint: Use the equation-substitution method to derivethe carries in term of C1'.