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A Binary Adder is a digital circuit that implements the arithmetic sum of two binary numbers supported with any length is known as a binary adder. It is generated using full-adder circuits connected in sequence. The output carries from one full-adder linked to the input carry of the next full-adder.

The following block diagram demonstrates the interconnections of four full-adder circuits to support a 4-bit binary adder.

The augend bits of A and the addend bits of B is created by subscript numbers from right to left, with subscript 0 indicating the low-order bit. The carries are linked in a chain by the full-adders.

The input carry to the binary adder is C_{0} and the output carry is C_{4}. The S outputs of the full-adders create the needed sum bits.

An n-bit binary adder is needed n full-adders. The output carries from each full-adder is linked to the input carry of the next-high-order full-adder. The n data bits for the A inputs come from one register including R1, and the n data bits for the B inputs come from another register including R2. The sum can be transferred to a third register or one of the source registers (R 1 or R2), restoring its earlier content.

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