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Digital Systems - Help building a 4 bit Binary adder circuit

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Since there is no carry in, so we can use a Half Adder for adding the first bit. Then use 3 Full Adders to add the rest of the three bits. Cascading these adders as shown in the figure below will give a ripple carry adder. Another type of adder is Carry-Look-Ahead Adder, search it online, or refer to Morris Mano book for a detailed explanation.

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