An encoder of a multiplier may include an operator generating unit for encoding a plurality of received multiplier data to output a plurality of operators. The encoder may include a partial-product data generating unit that generates a sign selecting operator from the received multiplier data for determining signs of the operators and output paths for the multiplicand data therein prior to receiving the plurality of operators from the operator generating unit, and outputs partial-product data in response to the received plurality of operators.

 
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