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...lean algebra have its basic examples, in particular the Boolean algebra of binary digits or bits 0 and 1 under the logical operations including disjunction, ...basis or the ring basis. These bases impart respectively a logical and an arithmetic character to the subject. The lattice basis originated in the 19th century

...implementing the idea (the "Model K"). This point marked the beginning of binary [[digital circuit]] design and the use of [[logic gates]]. Precursors of th ...that used valve-driven (vacuum tube) computation, [[Binary numeral system|binary]] numbers, and regenerative memory; the secret British [[Colossus computer]

# [[Binary relation]] | align="right" | 11 || [[Binary relation]]

...the Logic of Mathematics&rdquo; (1867) to pick up some of the ideas about arithmetic that he set out there. ...math>(\cdot)~\!</math> and a plus sign <math>(+)\!</math> for the ordinary binary operations of arithmetical multiplication and arithmetical summation, respe

| binary operation !m! of multiplication which is continuous (simultaneously | a binary operation M x M -> M which is associative and has an

...ints of the universe <math>X^\bullet = [x] \cong \mathbb{B}^1.</math> The binary index generated in this way is converted to its decimal equivalent and thes | style="width:16%" | <math>\begin{matrix}\mathcal{L}_2 \\ \text{Binary}\end{matrix}</math>

: ''Main article : [[Binary relation]]'' ...is now called [[Boolean algebra]] could be expressed by means of a single binary operation, either [[Sheffer stroke|NAND]] or its dual, [[Sheffer stroke|NOR

{{main|Binary relation}} ...is now called [[Boolean algebra]] could be expressed by means of a single binary operation, either [[Sheffer stroke|NAND]] or its dual, [[Sheffer stroke|NOR

...nbsp;=&nbsp;[''x'']&nbsp;<math>\cong</math>&nbsp;'''B'''¹. The binary index generated in this way is converted to its decimal equivalent, and the ! style="width:16%" | L₂<br>Binary

...ints of the universe <math>X^\bullet = [x] \cong \mathbb{B}^1.</math> The binary index generated in this way is converted to its decimal equivalent and thes | style="width:16%" | <math>\begin{matrix}\mathcal{L}_2 \\ \text{Binary}\end{matrix}</math>

...ints of the universe <math>X^\bullet = [x] \cong \mathbb{B}^1.</math> The binary index generated in this way is converted to its decimal equivalent and thes | style="width:16%" | <math>\begin{matrix}\mathcal{L}_2 \\ \text{Binary}\end{matrix}</math>

The axioms are just four in number, divided into the ''arithmetic initials'', <math>I_1\!</math> and <math>I_2,\!</math> and the ''algebraic <p><math>\text{Binary}\!</math></p>

| align="right" | 11 || [[Binary relation]] | align="right" | 5 || [[Fundamental theorem of arithmetic]]

| Decimal | Binary | Vector | Cactus | English | Ordinary | The binary index generated in this way is converted to its decimal equivalent,

(2) There is the "arrow of recursion" (AOR), a binary feature that is The "binary domain" is the set !B! = {!0!, !1!} of two algebraic values,