Half Adder (BCT): Difference between revisions

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Created page with "Ternary Half Adder in BCT. This adds two trits and returns a sum and carry. Half Adders are building blocks of Full Adders. A normal binary half adder uses an XOR and AND gate. Converted to ternary that would be a SUM and CON gate. Due to the similar design of the BCT SUM and BCT CON gate we can actually get..."
 
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Ternary Half Adder in [[Binary-Coded Ternary|BCT]]. This adds two trits and returns a sum and carry. Half Adders are building blocks of [[Full Adder (BCT)|Full Adders]].
Ternary Half Adder in [[Binary-Coded Ternary|BCT]]. This adds two trits and returns a sum and carry. Half Adders are building blocks of [[Full Adder (BCT)|Full Adders]].


A normal binary half adder uses an [[XOR (Binary Gate)|XOR]] and [[AND (Binary Gate)|AND]] gate. Converted to ternary that would be a [[SUM (Ternary Gate)|SUM]] and [[CON (Ternary Gate)|CON]] gate. Due to the similar design of the [[SUM (BCT)|BCT SUM]] and [[CON (BCT)|BCT CON]] gate we can actually get the CON results from a SUM with just a pair of [[NOT (Binary Gate)|Inverters]].
A normal binary half adder uses an [[XOR (Binary Gate)|XOR]] and [[AND (Binary Gate)|AND]] gate. Converted to ternary that would be a [[SUM (Ternary Gate)|SUM]] and [[CON (Ternary Gate)|CON]] gate. Due to logic overlap between [[SUM (BCT)|BCT SUM]] and [[CON (BCT)|BCT CON]] we can actually get the CON results from the SUM with just a pair of [[NOT (Binary Gate)|Inverters]].
[[File:Half-Adder-BCT.png|none|thumb|BCT Half Adder]]
[[File:Half-Adder-BCT.png|none|thumb|BCT Half Adder]]

Latest revision as of 10:53, 29 July 2025

Ternary Half Adder in BCT. This adds two trits and returns a sum and carry. Half Adders are building blocks of Full Adders.

A normal binary half adder uses an XOR and AND gate. Converted to ternary that would be a SUM and CON gate. Due to logic overlap between BCT SUM and BCT CON we can actually get the CON results from the SUM with just a pair of Inverters.

BCT Half Adder