Figure Q3 shows the truth table and the digital circuit that computes the outputs sum and cout from the input bits a and b. In order to compute more complex arithmetic operations, you need to be able to integrate the half adder circuit (Figure Q3b) into a bigger one. To that end, you should be able to take as input, besides a and b, a third input cM. This input represents the carried bit from previous computations. The output sum is the sum of three bits a, b and cin, while cout represents the carried out bit from that sum.

? Draw the truth table that computes sum and cout from a, b and cin and deduce the binary formula corresponding to sum and cout.

? Draw the digital circuit corresponding to the full adder.

? Using the full adder digital circuit, draw the digital circuit corresponding to a 4-bit full adder.

Transcribed Image Text:

a 0 sum 0 1 1 0 (a) Truth table of sum and Cont b 0 1 0 0 1 Cout 0 0 0 sum Cout (b) Digital circuit: suma xOR b, Cout- a AND b a 0 sum 0 1 1 0 (a) Truth table of sum and Cont b 0 1 0 0 1 Cout 0 0 0 sum Cout (b) Digital circuit: suma xOR b, Cout- a AND b

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