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blsea [12.9K]
3 years ago
14

System uses a 6-bit 2’s complement signed integer representation. What is the range of decimal values it can represent?

Computers and Technology
1 answer:
kap26 [50]3 years ago
6 0

Answer:

-32 to +31

Explanation:

6 bit 2s complement representation will be of the form b1b2b3b4b5b6 where each bit is either 0 or 1.

The largest positive number that can be represented using this scheme is 011111

Translating this to decimal this is 1*2^4 + 1^2^3 + 1^2^2 + 1^2^1 + 1^2^0

=16 + 8 + 4 + 2 + 1 =31

The smallest negative number that can be represented using this scheme is 100000

Translating this to decimal = -1 * 2^5 = -32

So the range of decimal values that can be represented is -32 to +31.

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Complete this truth Table. Write a program that you can enter from the keyboard, a 1 or 0 into three Boolean variables, A,B,C. W
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Answer:

Following are the code to this question:

#include<stdio.h>//defining header file

int AND(int x,int y) //defining a method AND that hold two variable in its parameter

{

if(x==1 && y==1)//defining if block to check x and y value is equal to 1

{

return 1;//return value 1

}

else //defining else block

{

   return 0;//return value 0

}

}

int OR(int x,int y)//defining method OR that hold two variable in its parameter

{

if(x==0&&y==0)//defining if block to check x and y value is equal to 1

{

return 0;//return value 0

}

else //defining else block

{

   return 1;//return value 1

}

}

int main()//defining main method

{

int a,b,c;//defining integer variable  

int k=1;//defining integer variable k that holds a value 1

while(k<=8)//defining while loop for 8 time input

{

printf("Please insert 3 numbers in (0 0r 1):\n ");//print message

scanf("%d%d%d", &a, &b, &c);//input value

k++;//increment the value of k by 1

printf("value: %d\n",AND(OR(a,b),c));

}

return 0;

}

Output:

please find the attachment.

Explanation:

In the above-given C language code two methods "AND and OR" is declared, holds two integer variable "x and y" in its parameters, inside the method a conditional it used that can be defined as follows:

  • In the AND method, inside a conditional statement, if block check x and y both value is same that is 1 it will return 1 or it will goto else block in this it will return value 0.      
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  • In the main method, four integers "a,b,c, and k" is declared in which variable "a, b, c" is used in the loop for 8 times input values from the user and print method is used to call the method and prints its return values.

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