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jeka57 [31]
2 years ago
11

A bunch of computer scientists take over an island and start their own country. They want the license plates to use binary numbe

rs. There's space for 7 digits on each license plate and the first plate starts at 000000000000000000000.
How many unique license plates can their country support? Answer in decimal:
Computers and Technology
1 answer:
Thepotemich [5.8K]2 years ago
5 0

Answer:

  • <em>Their country can support </em><u><em>   128   </em></u><em>unique license plates</em>

Explanation:

Since there is space for<em> 7 digits </em>on each <em>license plate</em>, the first plate starts at <em>0000000 </em>(seven 0).

<em>Binary numbers</em> contain only the digits 0 and 1.

Thus, there are only two possibilities for each digit.

Using the multiplication counting principle, the number of total different binary numbers, with seven digits is 2 multiplied seven times:

  • 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2⁷ = 128 ← answer
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Answer:

//Here is code in java.

import java.util.*;

class Main

{

public static void main (String[] args) throws java.lang.Exception

{

   try{

       int in;

     //scanner class object to read the input

    Scanner scr=new Scanner(System.in);

     // variable to keep running total

    int total=0;

    System.out.println("please enter an Integer:");

     // read the input first time

    in=scr.nextInt();

    System.out.print("individual digits of "+in+" is ");

    if(in<0)

    {

        in=-(in);

    }

   

 

     //call the function to print the digits of number

   print_dig(in);

   System.out.println();

    //calculate the sum of all digits

   do{

       int r=in%10;

       total=total+r;

       in=in/10;

   }while(in>0);

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   }catch(Exception ex){

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}

 //recursive function to print the digits of number

public static void print_dig(int num)

{  

    if(num==0)

    return;

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    {

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}

}

Explanation:

Read a number with the help of object of scanner class.if the input is negative

then make it positive number before calling the function print_dig().call

the recursive method print_dig() with parameter "num".It will extract the digits

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sum of all the digits of number.

Output:

please enter an Integer:                                                                                                  

3456                                                                                                                      

individual digits of 3456 is 3 4 5 6                                                                                      

total of digits is: 18

please enter an Integer:                                                                                                  

-2345                                                                                                                      

individual digits of -2345 is 2 3 4 5                                                                                      

total of digits is: 14

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