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VHDL (VHSIC HDL) is hardware description language. This will use when the addition of two 16 bit binary digits sequence.ġ6-bit-ripple-carry-adder Ripple Carry Adder Truth Tableīelow truth table shows the output values for the possible combinations of all inputs for ripple-carry-adder.The addition process in a 16-bit ripple-carry-adder is the same principle which is used in a 4-bit ripple-carry adder i.e., each bit from two input sequences are going to add along with input carry.A16) and (B1 …… B16) and its relevant output sequence is denoted by (S1 ……. The input sequences are denoted by (A1 ….It consists of 16 full adders which are connected in cascaded form.This will use when the addition of two 8 bit binary digits sequence.Ĩbit-ripple-carry-adder 16-bit Ripple Carry Adder.The addition process in an 8-bit ripple-carry-adder is the same principle which is used in a 4-bit ripple-carry-adder i.e., each bit from two input sequences are going to added along with input carry.The input sequences are denoted by (A1 A2 A3 A4 A5 A6 A7 A8) and (B1 B2 B3 B4 B5 B6 B7 B8) and its relevant output sequence is denoted by (S1 S2 S3 S4 S5 S6 S7 S8).Each full adder carry output is connected as an input carry to the next stage full adder.It consists of 8 full adders which are connected in cascaded form.This is the addition process for 4-bit input sequences when it’s applied to this carry adder.Like this will get the final output sequence (S4 S3 S2 S1) = (1 1 1 1) and Output carry C4 = 0.Here the important point is the second stage full adder gets input carry i.e., C1 which is the output carry of initial stage full adder. Same like for next input bits A2 and B2, output S2 = 1 and C2 = 0.As per this equation, for 1st full adder S1 =1 and Carry output i.e., C1=0.As per its theory, the output equation for the Sum = A1⊕B1⊕Cin and Carry = A1B1⊕B1Cin⊕CinA1 Sum (S1) and carry (C1) will be generated as per the Sum and Carry equations of this adder.When Ao & Bo are applied at 1st full adder along with input carry 0.As per this adder concept, input carry is 0.These are representing the A4 A3 A2 A1 and B4 B3 B2 B1. Let’s take an example of two input sequences 01.4-bit RCA Diagram Working of 4-bit Ripple Carry Adder