Design and implementation of a complex binary adder

Tariq Jamil*, H. Medhat Awadalla, Iftaquaruddin Mohammad

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


To represent complex number as single-unit binary number, a complex binary number utilizing base (-1+j) has been proposed in the scientific literature. In this study, we have designed a nibble-size adder based on this number system using the traditional truth table/Kmap approach and implemented it on Xilinx Virtex FPGAs. We have compared this design with the minimum-delay nibble-size complex binary adders and base-2 binary adders designed using decoder and ripple-carry principle. This research work leads us to the conclusion that the complex binary is a viable number system for designing Arithmetic and Logic Unit (ALU) of today's microprocessors.

Original languageEnglish
Pages (from-to)1813-1828
Number of pages16
JournalJournal of Engineering and Applied Sciences
Issue number7
Publication statusPublished - 2018


  • Bimq complex numbers
  • Complex bmary adder
  • FPGA
  • Logism Software
  • Microprocessors
  • Utilizmg

ASJC Scopus subject areas

  • General Engineering


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