Show that the output carry in a full adder circuit can be expressed in the AND – OR - IN...

Show that the output carry in a full adder circuit can be expressed in the AND – OR - INVERT form

IC type 74182 is a lookahead carry generator circuit that generates the carries with AND – OR - INVERT gates (see Section 3.8 ). The circuit assumes that the input terminals have the complements of the G ’s, the P ’s, and of C ₁ . Derive the Boolean functions for the lookahead carries C ₂ , C ₃ , and C 4 in this IC. ( Hint: Use the equation-substitution method to derive the carries in terms of C _i _)