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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Gate5000 binary transition

Applies XOR with the input bit and phase flip, then masks to one bit. Given fixed inputs and flip, XOR is reversible on a single bit; the complete system’s reversibility also depends on preserving those inputs.

MEGAMIND specificationdocumented formula
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SOURCE 84 · megamind-gate-transitionMEGAMIND specification
sinew=((siXORui)XORf)AND1s_i^{new}=((s_i\mathbin{\mathrm{XOR}}u_i)\mathbin{\mathrm{XOR}}f)\mathbin{\mathrm{AND}}1

Read the equation

Applies XOR with the input bit and phase flip, then masks to one bit. Given fixed inputs and flip, XOR is reversible on a single bit; the complete system’s reversibility also depends on preserving those inputs.

Its role in the build

Applies XOR with the input bit and phase flip, then masks to one bit.

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read state[i] as the quantity being defined or updated by this relation.

  2. Combines binary values with exclusive OR in the stated bit-level expression.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Exact original notation
state[i] = ((state[i] XOR input[i]) XOR flip) AND 1

Related builds

Sources & provenance

01
MEGAMIND_Complete_Technical_Specification.docx
§9.3 · Jan 24, 2026
state[i] = ((state[i] XOR input[i]) XOR flip) AND 1

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