AnswersDriveMaxterms. For a boolean function of variables , a sum term in which each of the variables appears once (in either its complemented or uncomplemented form) is called a maxterm. Maxterms are a dual of the minterm idea (i.e., exhibiting a complementary symmetry in all respects).
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What is maxterm?
maxterm (standard sum term) A sum (OR) of n Boolean variables, uncomplemented or complemented but not repeated, in a Boolean function of n variables. With n variables, 2 n different maxterms are possible. The complement of any maxterm is a minterm. See also standard product of sums. "maxterm."
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What do you mean by universal gate?
A universal gate is a gate which can implement any Boolean function without need to use any other gate type. The NAND and NOR gates are universal gates. In practice, this is advantageous since NAND and NOR gates are economical and easier to fabricate and are the basic gates used in all IC digital logic families.
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What is maxterm and Minterm in digital electronics?
A minterm l is a product (AND) of all variables in the function, in direct or complemented form. A minterm has the property that it is equal to 1 on exactly one row of the truth table. A maxterm is a sum (OR) of all the variables in the function, in direct or complemented form.
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What is a Implicant?
Implicant. From Wikipedia, the free encyclopedia. In Boolean logic, an implicant is a "covering" (sum term or product term) of one or more minterms in a sum of products (or maxterms in product of sums) of a Boolean function.
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What do you mean by prime implicants?
Prime implicant of is an implicant that is minimal - that is, if the removal of any literal from product term results in a non-implicant for . Essential prime implicant is an prime implicant that cover an output of the function that no combination of other prime implicants is able to cover.
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What is the meaning of canonical form?
In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical expression. In this context, a canonical form is a representation such that every object has a unique representation.
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What is the sum of products?
The minterms and maxterms may be used to define the two standard forms for logic expressions, namely the sum of products (SOP), or sum of minterms, and the product of sums (POS), or product of maxterms. Boolean functions expressed as a sum of products or a product of sums are said to be in canonical form.
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What is the sum?
the aggregate of two or more numbers, magnitudes, quantities, or particulars as determined by or as if by the mathematical process of addition: The sum of 6 and 8 is 14. a particular aggregate or total, especially with reference to money: The expenses came to an enormous sum.
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What is the product of a sum?
In math, when we use the word "sum," we mean add the numbers. When we use the word "product," we mean multiply the numbers. So the "sum of the products" means we want to add (sum) the results of numbers being multiplied (products). Let me give you an example.
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What is the sum of eight?
| Number | Repeating Cycle of Sum of Digits of Multiples |
|---|---|
| 5 | {5,1,6,2,7,3,8,4,9} |
| 6 | {6,3,9,6,3,9,6,3,9} |
| 7 | {7,5,3,1,8,6,4,2,9} |
| 8 | {8,7,6,5,4,3,2,1,9} |
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What is the product of 4?
In mathematics, a product is a number or a quantity obtained by multiplying two or more numbers together. For example: 4 × 7 = 28 Here, the number 28 is called the product of 4 and 7. The product of 6 and 4 will be 24, because 6 × 4 = 24.
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What is the product of 3?
Product (mathematics) In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. Thus, for instance, 6 is the product of 2 and 3 (the result of multiplication), and is the product of and (indicating that the two factors should be multiplied together).
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What is the math sum?
In mathematics, summation (capital Greek sigma symbol: ∑) is the addition of a sequence of numbers; the result is their sum or total. If numbers are added sequentially from left to right, any intermediate result is a partial sum, prefix sum, or running total of the summation.
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What operation is difference?
Subtracting one number from another number is to find the difference between them. Multiplication means times (or repeated addition). A product is the result of the multiplication of two (or more) numbers. Division 'undoes' multiplication.
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How many is some?
Actually, no. While many people would agree that "a few" means three or more, the actual dictionary definition of "a few" is, "not many but more than one." So, "a few" cannot be one, but it can be as low as two.
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Is a couple 2 or 3?
The short (and rather unhelpful) answer is that while technically, "a couple" does in fact mean two, it is not always used that way in practice and if you ask several native speakers you're likely to get different responses. "A couple", "a few", "several" Words like this are used with various intent.
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How much does some mean?
A couple means two. A few means a small number. (“ I have fewer than you”/”they are few and far between”) Several, according to its dictionary definition means “more than two but not many”, so a few but not a couple. And some, according to the dictionary means “an unspecified amount or number”.