There are three types of multipliers: 1) Iterative Structure Multiplier, i.e. shift-accumulate multiplier, 2) Array Structure Multiplier, and 3) Tree Structure Multiplier. Iterative structure multiplier has the smallest area but consumes the most clocks; Array structure multiplier is faster and has a regular structure, but the critical path delay and area increase with the number of bits of the multiplier and multiplicand; Tree structure multiplier is now widely used, i.e. partial product + compression tree + final adder structure, such as Booth encoder + Wallace tree + CLA adder. Attached is a 17x17 tree structure multiplier implementation pdf file.
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