binary operations elements


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Binary Operations
Binary Operations - Binary Operations are as given below, Commutative Law Associative Law Let S be any non-empty set. An operation * is called a binary operation on S if " a, b Î S a * b Î SLet S be any non-empty..
Binary Operations
binary operation: Let S be any non-empty set. An operation * is called a binary operation on S if " a, b S a * b S Commutative law: Let * be a binary operation on the set S. * is said to be associative in ..
Binary acids
The binary acids (acids containing hydrogen and one more element) are named by adding the prefix hydro- and suffix ic to the name of second element. Example: Acid of hydrogen and chlorine (HCl) is hydrochloric acid. Acid of hydrogen and fluorine (HF) is hydrofluoric ac..
Binary compounds
Binary compounds are compounds containing only two elements. If one of the two is a metal (or ammonium), then the suffix - ide , is added to the non-metal atom. Remember : NaCl - Sodium chloride CaO - Calcium oxide AlN - Aluminium nitride If atoms of two elements..
Non - binary acids
They contain more than 2 kinds of atoms. The term 'hydro' is not used. Instead, the name is based on the second element in the formula. Remember : H 2 SO 4 - Sulphuric acid If the same elements form two acids, then the one containing greater number of oxygen atoms gets..
Operations on Matrices
Equality of Matrices - Two matrices are said to be equal if they have the same order and their corresponding elements are equal. e.g., then a = 1, b = 2, c = 3, d = 4, e = 5 and f = ..
Logical 'OR' operation
Let us refer to a circuit consisting of two switches p and q connected in parallel with a lamp and battery as shown in figure. In this case, the lamp will glow if and only if at least one of the switches is closed. In binary language we say the switch will glow if at least one of the v..
Combination with electronegative elements
reaction of dihydrogen with electronegative elements Like alkali metals, hydrogen forms binary compounds with electronegative elements such as halogen, oxygen and sulphur. For example,..
Summary
A Boolean algebra is a set B with two distinct elements, along with the binary operations '+' and '.' and a unary operation (') which satisfy closure property, commutative property, existence of unit element, distributive property for both the..
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