Question

What is the value of n and counter when the code below is executed?

n = 256; 
counter = 1; 
while n ~= 1 
 if rem(counter,2) == 0 

 n = n/2; 

 else 

 n = n/4; 

 end 
counter = counter + 1 ;
end

a.

n=1;

counter = 6

b.

n=5;

counter = 6;

c.

n=6;

counter = 256;

d.

n=256

counter = 6

e.

n=128;

counter=64;

Answer 1

Here the answer is solved witth the following steps.

Step 1: At first the answer the given with correct option.

Step 2: After that the explanation of the answer is given point wise in details.

Stpe 3: A complete matlab code with screen shot and output is given. From the output the explanation is verified.

Correct option: a) n=1;

                                          counter = 6

   

Explanation:

i. n=256, counter=1

As n is not equal to 1

Here, mod (counter, 2) is not equal to 0, because mod (1, 2)=1, so else condition satisfies,

Then, n=n/4

           n=256/4=64

counter=counter+1 or counter=1+1=2

ii. n=64 , counter=2

now again n is not equal to 1

As, rem(counter,2) is equal to 0, because mod(2,2)=0, so if condition satisfies,

Then n=n/2

          n=64/2=32

counter=counter+1 or counter=2+1=3

iii. n=32, counter=3

As n is not equal to 1

Here, mod (counter, 2) is not equal to 0, because mod (3, 2)=1, so else condition satisfies,

Then, n=32/4

           n=32/4=8

counter=counter+1 or counter=3+1=4

iv. n=8 , counter=4

now again n is not equal to 1

As, rem(counter,2) is equal to 0, because mod(4,2)=0, so if condition satisfies,

Then n=n/2

          n=8/2=4

counter=counter+1 or counter=4+1=5

v. n=4, counter=5

As n is not equal to 1

Here, mod (counter, 2) is not equal to 0, because mod (5, 2)=1, so else condition satisfies,

Then, n=n/4

           n=4/4=1

counter=counter+1 or counter=5+1=6

vi. Now n =1, so, while loop will not be executed and loop will be broken.

So, finally, n=1 and counter=6

Answer: n=1, counter=6

HERE THE ABOVE EXPLAINED PROGRAM IS DONE WITH COMPLETE MATLAB PROGRAMMING LANGUAGE.

n = 256;
counter = 1;
while n ~= 1
if rem(counter,2) == 0
n = n/2;
else
n = n/4;
end
counter = counter + 1 ;
end
fprintf('n=%d\ncounter=%d\n',n,counter);

SCREEN SHOT

OUTPUT