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antoniya [11.8K]
2 years ago
11

Write the 8-bit signed-magnitude, two's complement, and ones' complement representations for each decimal number: +25, + 120, +

82, -42, -111.
Computers and Technology
1 answer:
pshichka [43]2 years ago
6 0

Answer:

Let's convert the decimals into signed 8-bit binary numbers.

As we need to find the 8-bit magnitude, so write the powers at each bit.

      <u>Sign -bit</u> <u>64</u> <u>32</u> <u>16</u> <u>8</u> <u>4</u> <u>2</u> <u>1</u>

+25 - 0 0 0 1 1 0 0 1

+120- 0 1 1 1 1 0 0 0

+82 - 0 1 0 1 0 0 1       0

-42 - 1 0 1 0 1 0 1 0

-111 - 1 1 1 0 1 1 1 1

One’s Complements:  

+25 (00011001) – 11100110

+120(01111000) - 10000111

+82(01010010) - 10101101

-42(10101010) - 01010101

-111(11101111)- 00010000

Two’s Complements:  

+25 (00011001) – 11100110+1 = 11100111

+120(01111000) – 10000111+1 = 10001000

+82(01010010) – 10101101+1= 10101110

-42(10101010) – 01010101+1= 01010110

-111(11101111)- 00010000+1= 00010001

Explanation:

To find the 8-bit signed magnitude follow this process:

For +120

  • put 0 at Sign-bit as there is plus sign before 120.
  • Put 1 at the largest power of 2 near to 120 and less than 120, so put 1 at 64.
  • Subtract 64 from 120, i.e. 120-64 = 56.
  • Then put 1 at 32, as it is the nearest power of 2 of 56. Then 56-32=24.
  • Then put 1 at 16 and 24-16 = 8.
  • Now put 1 at 8. 8-8 = 0, so put 0 at all rest places.

To find one’s complement of a number 00011001, find 11111111 – 00011001 or put 0 in place each 1 and 1 in place of each 0., i.e., 11100110.

Now to find Two’s complement of a number, just do binary addition of the number with 1.

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Answer:

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Explanation:

Previous concepts

Input/output operations per second (IOPS, pronounced eye-ops) "is an input/output performance measurement used to characterize computer storage devices like hard disk drives (HDD)"

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For this case since we have 4GB, but 512 MB are destinated to the operating system, we can begin finding the available RAM like this:

Available = 4096 MB - 512 MB = 3584 MB

Now we can find the maximum simultaneous process than can use with this:

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And then we can find the maximum wait I/O that can be tolerated with the following formula:

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1-p^{14} = 0.99

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Answer:

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void printAttitude(int n)

{

switch(n)

{

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Explanation:

As seen, the method takes an integer parameter.

The method does not returns any value hence, return type is void.

The message is displayed to the console using switch statement which executes on the integer parameter, n.

The values for which output needs to be displayed are taken in cases.

The values for which no output needs to be displayed, is taken in default case.

Every case ends with break statement so that the program execution can be terminated.

This method can be used inside a program as shown.  

PROGRAM

#include <iostream>

using namespace std;

void printAttitude(int n)

{

switch(n)

{

case 1: cout<<"disagree"<<endl; break;

case 2: cout<<"no opinion"<<endl; break;

case 3: cout<<"agree"<<endl; break;

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}

}

int main() {

// variables to hold respective value

int n;

// user input taken for n

cout<<"Enter any number: ";

cin>>n;

// calling the function taking integer parameter  

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}

OUTPUT

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1. The user input is taken for the integer parameter.

2. Inside main(), the method, printAttitude(), is then called and the user input is passed as a parameter.

3. Since the user entered value is 11 which does not satisfies any of the values in the cases, the default case is entered which does nothing and executes the break statement.

4. Hence, the program displays nothing for the value of 11.

5. When the user enters value 3, the case statement is executed since 3 satisfies one of the case values.

6. The program output for the user input of 3 is as shown below.

OUTPUT

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The program ends with return statement.

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