Recursive equations for hardwired binary adders
- 1 August 1989
- journal article
- research article
- Published by Taylor & Francis in International Journal of Electronics
- Vol. 67 (2) , 201-213
- https://doi.org/10.1080/00207218908921071
Abstract
A sum equation for the implementation of parallel hardwired binary adders is introduced. It is suggested that the proposed sum equation, when compared with Ling's high-speed sum, will result in some advantages, and that it can be used in the design of high-speed parallel adders using generally available technologies. It is shown that a 32-bit adder can be designed in three stages using 3 × 8 AND-ORs, 3 × 4 AND-OR-INVERTs and 2 × 4 OR-ANDs CMOS gates, and that a bipolar adder can be designed in four stages, with three-way NANDs and eight-way AND-dotting. In addition, it is suggested that a three-stage 32-bit adder using NANDs and AND-dotting is most likely unrealistic. The paper also describes the design of a number of adders, and discusses the speed, feasibility and complexity of their design.Keywords
This publication has 6 references indexed in Scilit:
- Approaching a nanosecond: a 32 bit adderPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Invited paper Parallel binary byte adder/subtracterInternational Journal of Electronics, 1988
- A comparison between adders with new defined carries and traditional schemes for additionInternational Journal of Electronics, 1988
- High-Speed Binary AdderIBM Journal of Research and Development, 1981
- Concurrent Error Detection for Group Look-ahead Binary AddersIBM Journal of Research and Development, 1970
- Conditional-Sum Addition LogicIEEE Transactions on Electronic Computers, 1960