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单词 inclusive or
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inclusive or
A Boolean operator that has the value unity if at least one of the operands is unity, and is otherwise zero; more fully inclusive or (corresponding to Latin vel). Also: a Boolean operator that has the value unity if just one of two operands is unity, not both of them; more fully exclusive or (corresponding to Latin aut). Frequently attributive. Cf. and n.1 2, not n. 4.When exclusive or (sometimes written xor) has more than two arguments, it is usual to make the function unity if and only if an odd number of the arguments are 1 (this represents a generalization of the definition given above for two arguments). Then the placing of the brackets in an exclusive or function is immaterial: e.g. the exclusive or of the four arguments a, b, c, d is ((a xor) b xor c) xor d, equivalent to (a xor (b xor c)) xor d and to a xor ((b xor c) xor d).
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society > computing and information technology > [noun] > logic > operation > particular operations
and1946
OR1947
negation1949
inversion1955
NOR1957
NAND1958
NOT AND1960
XOR1961
not1969
1938 C. E. Shannon in Trans. Amer. Inst. Electr. Engineers 57 718/1 There are many special types of relays and switches... The operation of all these types may be described with the words ‘or’, ‘and’, ‘if’, ‘operated’, and ‘not operated’.
1940 W. V. Quine Math. Logic i. 12 When ‘or’ is used in the inclusive sense..joint truth of the components verifies the compound. An ‘or’-compound in this sense can be expressed more clearly by adding the words ‘or both’.]
1947 Proc. IRE 35 758/1 The ‘or’ operation is performed by a ‘buffing’ circuit.
1949 E. C. Berkeley Giant Brains ix. 149 The ‘or’..that is defined in the truth table is often called the inclusive ‘or’ and means ‘and/or’... There is another ‘or’ in common use, often called the exclusive ‘or’, meaning ‘or else’.
1970 O. Dopping Computers & Data Processing i. 25 The order in which different operations are taken is important. The normal order is not, and, or in decreasing order of priority.
1971 J. H. Smith Digital Logic iv. 45 or units are not extensively employed because they are usually constructed with components such as diodes, which have no amplification.
2010 C. H. Roth & L. L. Kinney Fund. Logic Design (ed. 6) vii.196 Next, attempt to realize and or or, keeping in mind that not is now available.
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