Tag: special words/phrases

Questions Related to special words/phrases

A Boolean function may be transformed into

maths mathematical reasoning special words/phrases duality mathematical logic

  1. logical diagram

  2. logical graph

  3. map

  4. matrix

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Correct Option: A
Explanation:

Boolean function:

        It can be represented in the form of diagram with logic gates.

Boolean algebra theorem, gives   $x\cdot (x+y)$   equal to

maths mathematical reasoning special words/phrases duality mathematical logic

  1. $x'$

  2. $1$

  3. $x$

  4. $0$

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Correct Option: C
Explanation:

    $x\cdot \left( x+y \right) $

$=x\cdot x+xy$
$=x$

To perform product of maxterms Boolean function must be brought into

maths mathematical reasoning special words/phrases duality mathematical logic

  1. and terms

  2. or terms

  3. not terms

  4. nand terms

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Correct Option: B
Explanation:

For performing Product of Maxterms, it has to be brought into POS, i.e; Product of Sum form. For this, the Boolean Function must be brought into OR terms.

Minterms are also called

maths mathematical reasoning special words/phrases duality mathematical logic

  1. standard sum

  2. standard product

  3. standard division

  4. standard subtraction

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Correct Option: B
Explanation:

A product is called a minterm because it has minimum-satisfiability where as a sum is called a maxterm because it has maximum-satisfiability among all practically interesting boolean functions.