Simple Quotient-Digit-Selection Radix4 Divider with Scaling Operation (Special Section on Discrete Mathematics and Its Applications)

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概要

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• This paper deals with the theory and design method of an efficient radix-4 divider using carry-propagationfree adders based on redundant binary {-1, 0, +1} representation. The usual method of normalizing the divisor in the range [1 / 2, 1) eliminates the advantages of using a higher radix than two, because many digits of the partial remainder are required to select the quotient digits. In the radix-4 case, it is shown that it is possible to select the quotient digits to refer to only the four (in the usual normalizing method it is seven) most significant digits of the partial remainder, by scaling the divisor in the range [12 / 8, 13 / 8). This leads to radix-4 dividers more effective than radix-2 ones. We use the hyperstring graph representation proposed in Ref. (18) for redundant binary adders.

• 一般社団法人電子情報通信学会の論文
• 1993-04-25

著者

• Tonomura Motonobu

  Hitachi Central Research Laboratory Hitachi Ltd.

関連論文

• Efficient Radix-2 Divider for Selecting Quotient Digit Embedded in Partial Remainder Calculation
• Design Method for a Multimedia-Oriented Multiply-Adder (Special Issue on Low-Power High-Speed CMOS LSI Technologies)
• Simple Quotient-Digit-Selection Radix4 Divider with Scaling Operation (Special Section on Discrete Mathematics and Its Applications)

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