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  "body": "\n## Summary\n\nIn mathematics, **Zhegalkin algebra** is a set of Boolean functions defined by the nullary operation taking the value $1$, use of the binary operation of [[conjunction|025YZN3VJW]] $\\land$, and use of the binary sum operation for modulo 2 $\\oplus$. The constant $0$ is introduced as $1 \\oplus 1 = 0$. The negation operation is introduced by the relation $\\neg x = x \\oplus 1$. The disjunction operation follows from the identity $x \\lor y = x \\land y \\oplus x \\oplus y$.\n",
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