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Delvig [45]
3 years ago
7

The sum of all the minterms of a boolean function of n variables is equal to 1.

Computers and Technology
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

The answers are as follows:

a) F(A, B, C) = A'B'C' + A'B'C + A'BC' + A'BC + AB'C' + AB'C + ABC' + ABC

= A'(B'C' + B'C + BC' + BC) + A((B'C' + B'C + BC' + BC)

= (A' + A)(B'C' + B'C + BC' + BC) = B'C' + B'C + BC' + BC

= B'(C' + C) + B(C' + C) = B' + B = 1


b) F(x1, x2, x3, ..., xn) = ∑mi has 2n/2 minterms with x1 and 2n/2 minterms

with x'1, which can be factored and removed as in (a). The remaining 2n1

product terms will have 2n-1/2 minterms with x2 and 2n-1/2 minterms

with x'2, which and be factored to remove x2 and x'2, continue this

process until the last term is left and xn + x'n = 1

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Answer:

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Explanation:

I will answer in English.

The question is:

  • <em>What is the power of a filament lamp that connects to the 220 V network, knowing that it has a resistance of 50 ohms?</em>

<em />

<h2>Solution</h2>

<em />

<em>Power</em>, <em>voltage</em>, <em>resistance</em>, and current, are related by either of the following equations:

  • P = V × I
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Where:

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  • R is resistance in ohms (Ω)
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Since you know the voltage (<em>220V</em>) and the resistance (<em>50Ω</em>), you can use the last equation:

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Since the magnitude 50Ω has one significant figure, your answer should be rounded to one significant figure. That is <u>1,000W.</u>

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Answer:

Answered in C++

#include <iostream>

using namespace std;

int main() {

   int size;

   cout<<"Length of array: ";

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   double sum =0;

   cout<<"Array Elements: ";

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       sum += numDoubles[i];

   }

   delete [] numDoubles;

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   return 0;  

}

Explanation:

This line declares the size (or length) of the array

<em>    int size; </em>

This line prompts the user for the array length

<em>    cout<<"Length of array: "; </em>

This gets the input from the user

<em>    cin >> size; </em>

This dynamically declares the array as of double datatype

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This declares and initializes sum to 0

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This prompts the user for elements of the array

<em>    cout<<"Array Elements: "; </em>

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<em>    for(int i=0;i<size;i++){ </em>

<em>        cin>>numDoubles[i]; </em>

<em>        sum += numDoubles[i]; </em>

<em>    } </em>

This deletes the array

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