⟩ What are the different Adder circuits you studied?
Adders are generally of five types:
1) Ripple Carry Adder:
The Ripple carry adder(RCA) consists of a building block named Half
Adder(HA) which is cascaded to form a Full Adder(FA). These building
blocks HAs and FAs are also the building blocks of all types of
adders.The n full adders are cascaded to form n bit RCA.
The full adder has three input pins(input Ai,input Bi,carryin Ci) and
two output pins(Sum and Ci+1).Its equations are:
Sum=Ai^Bi^Ci
Ci+1=Ai.Bi+Bi.Ci+Ai.Ci
2)Carry Lookahead Adder:
The Carry Lookahead Adder(CLA) reduces the delay as that in RCA. Let
Gi=Ai.Bi, and Pi=Ai^Bi, then Ci+1=Gi+Pi.Ci.
The expressions for Sum and Ci+1 is then defined completely in terms of
input pins rather wait for input carry to appear.
3)Carry Select Adder:
The carry select adder uses duplicate modules for each combination of
input carry(i.e. 1 and 0).The multiplexers then select the appropriate
sum and carry output according to the carry output of the preceding
stages.
