Principle of a one-step MSD adder for a ternary optical computer
Science China Information Sciences(2013)
摘要
While investigating a three-step MSD adder and the reliability thereof for ternary optical computers (TOC), the principle of one-step MSD addition was found. An important concept, the mid-bit transform, is proposed. Next, the important mid-bit transform table (MTT) for 3-bit MSD input and the corresponding mid-bit transform unit (MTU) are obtained. Using the principle, the concept structure of a one-step MSD adder is proposed such that the sum of the addition can be obtained easily in one step in parallel. By restricting the input symbols, a simplified MTT is obtained and the principle of a one-step adder with restricted input symbols is introduced, together with the corresponding simplified concept structure of a one-step MSD adder. Two examples are presented to demonstrate the principles of one-step MSD adders. This work lays the theoretic foundation for the design of an optical MSD adder in future study.
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关键词
ternary optical computer (TOC),one-step MSD adder,mid-bit transform unit (MTU),mid-bit transform table (MTT)
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