Ci+1 = G¡ + P;C; = (G¿P¡ + G;C';) %3D type 74182 is a lookahead carry generator circuit that generates th ries with AND–OR-INVERT gates (see Section 3.8). The circuit ass t the input terminals have the complements of the G's, the P's, and ive the Boolean functions for the lookahead carries C2, C3, and C4 (Hint: Use the equation-substitution method to derive the carries in ms of C;

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

 

Ci+1 = G¡ + PC; = (G;P; + G;C})'
(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 C1.
Derive the Boolean functions for the lookahead carries C2, C3, and C4 in this
IC. (Hint: Use the equation-substitution method to derive the carries in
terms of Ci
Transcribed Image Text:Ci+1 = G¡ + PC; = (G;P; + G;C})' (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 C1. Derive the Boolean functions for the lookahead carries C2, C3, and C4 in this IC. (Hint: Use the equation-substitution method to derive the carries in terms of Ci
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