Question

4. The following algorithm step 1: 20 := r; j :=0 step 2: while x; # 0, do d; := remainder of integer divide x;/2 Xj+1 := quotient of integer divide x;/2 j:= + 1 end while can be used to convert a positive decimal integer x to its binary equivalent, x = (anan-1.0190)2. Implement the algorithm (write a computer program) and apply it to convert the following integers to their binary equivalents. (a) 56 (b) 1543 (The Matlab library functions rem, mod and floor might be helpful when you use Matlab. Try help rem, help mod and help floor to see how to use them.)

Answer 1

Matlab Code:

x=input('Enter the Decimal Number: ');
a=[];
while x~=0
a=[rem(x,2) a];
x=floor(x/2);
end
text1=['The Binary Representation is: ',num2str(a)];
disp(text1)

Testcase (i): 56

Enter the Decimal Number: 56
The Binary Representation is: 1 1 1 0 0 0

Testcase (ii): 1543

Enter the Decimal Number: 1543
The Binary Representation is: 1 1 0 0 0 0 0 0 1 1 1