Parallel prefix adder design with matrix representation

The paper presents a one-shot batch process that generates a wide range of designs for a group of parallel prefix adders. The prefix adders are represented by two two-dimensional matrices and two vectors. This matrix representation makes it possible to compose two functions for gate sizing which calculate the delay and the total transistor width of the carry propagation graph of adders. After gate sizing, the critical path net-lists of the carry propagation graph are generated from the matrix representation for spice delay calculation. The process is illustrated by generating sets of delay and total transistor width pairs for 32-bit and 64-bit cases.