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svet-max [94.6K]
4 years ago
13

Simplify the Boolean expression AB+(AC)`+AB`C(AB+C)

Computers and Technology
1 answer:
Nikolay [14]4 years ago
8 0

Answer:

A+A'C'

Explanation:

let F= AB+(AC)'+AB'C(AB+C)

       =AB +A'C'+AB'CAB+AB'CC

as we know that BB'=0 ( multiplicative inverse )

CC=C and AA=A

putting BB'=0 , CC=C and AA=A  in the expression of F we can find

F= AB +A'C'+0+AB'

F=AB+A'C'+AB'

F=AB+AB'+A'C'

taking A common

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

as B+B'=1 (additive inverse )

F=A+A'C'

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3 years ago
Problem 2 Write a method that (a) returns an int[] , (b) takes in two sorted arrays (in descending order) and (c) returns an int
Galina-37 [17]

Answer:

Following are the Program in the Java Programming Language.

//define class

public class Main

{

//define function to merge and sort array

public static int[] sort_Array(int[] a, int[] b)

{

//set integer variable and initialize values

int x = 0, y = 0, k = 0, num = 0;

int n = a.length;

int n1 = b.length;

//set integer type array

int[] ar = new int[n+n1];

//set while loop

while (x<n && y <n1)

{

num++;

num++;

//set if conditional statement

if (a[x] > b[y])

ar[k++] = a[x++];

else

ar[k++] = b[y++];

num++;

}

//set the while loop

while (x < n)

{

num++;

ar[k++] = a[x++];

}

//set the while loop

while (y < n1)

{

num++;

ar[k++] = b[y++];

}

//print the total compares done

System.out.println("Number of compares done: " + n);

//return array

return ar;

}

//define main method

public static void main(String[] args)

{

//declaration and the initialization of array

int[] a = new int[]{18,16, 15, 6, 2};

int[] b = new int[]{13, 12, 11, 7, 1};

int[] ar;

//call function

ar = sort_Array(a, b);

//print message

System.out.println("\nThe resultant array is: \n");

//set for loop to print array

for(int x=0; x<ar.length; x++)

{

System.out.print(ar[x] + " ");

}

}

}

<u>Output</u>:

Number of compares done: 5

The resultant array is:

18 16 15 13 12 11 7 6 2 1

Explanation:

Here, we define a class "Main" inside the class, define a function "sort_Array()"and pass two integer type array argument "a" and "b".

  • Set four integer type variables "x", "y", "k", and "num" and initialize them to 0.
  • Set two integer type array "n", "n1" and initialize them the length of the array then, set integer type array variable "ar".
  • Set the while loop then, set if conditional statement then, agin set while loop to sort array in descending order.
  • Then, print the number of compares and return the value of the variable "ar".

Finally, define the main method inside it, we set two integer type array variable and initialize elements in them then, set the for loop to print the sorted elements of the array.

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Answer:

The correct answer is A.

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Moore's Law states/predicts that the maximum number of transistors that can be used on integrated circuits (processors etc.) will be doubled every two years so it basically predicts an exponential growth in terms of transistors used.

Doubling the number of transistors used means that it will almost certainly increase the performance of the processors. Of course there are a lot of other variables that the performance depends on but Moore's Law is proven to be true and  is being used since 1960's. The answer given in option A is the one that best reflects on this law.

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