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+//Example 2-51//

+//multiplication of binary numbers//

+//this program requires functions binary2decimal.sci and decimal2binary.sci//

+clc

+//clears the window//

+clear

+//clears all existing variables//

+function x=binary2decimal(bin)

+p=1

+q=1

+z=0

+b=0

+w=0

+f=0

+//initialising//

+d=modulo(bin,1)

+//separating the decimal part from the integer part//

+d=d*10^10

+a=floor(bin)

+//removing the decimal part//

+while(a>0)

+//loop to enter the binary bits of the integer part into a matrix//

+r=modulo(a,10)

+b(1,q)=r

+a=a/10

+a=floor(a)

+q=q+1

+end

+for m=1: q-1

+//multiplying each bit of the integer part with its corresponding positional value and adding//

+c=m-1

+f=f+b(1,m)*(2^c)

+end

+while(d>0)

+//loop to take the bits of the decimal part into a matrix//

+e=modulo(d,2)

+w(1,p)=e

+d=d/10

+d=floor(d)

+p=p+1

+end

+for n=1: p-1

+//multiplying each bit with its corresponding positional value and adding//

+z=z+w(1,n)*(0.5)^(11-n)

+end

+z=z*10000

+z=round(z)

+//rounding off to 4 decimal places//

+z=z/10000

+x=f+z

+endfunction

+function y=decimal2binary(a)

+q=0

+b=0

+s=0

+//initialising//

+d=modulo(a,1)

+//separating the decimal part from the integer//

+a=floor(a)

+//removing the decimal part//

+while(a>0)

+//integer part converted to equivalent binary form//  

+x=modulo(a,2)

+b=b+(10^q)*x

+a=a/2

+a=floor(a)

+q=q+1

+end

+for i=1: 10

+//taking values after the decimal part and converting to equivalent binary form//

+d=d*2

+q=floor(d)

+s=s+q/(10^i)

+if d>=1 then

+    d=d-1

+end

+end

+y=b+s

+endfunction

+x=binary2decimal(10.001)

+y=binary2decimal(0.11)

+z=x*y

+a=decimal2binary(z)

+disp('the multiplication of the binary numbers is :')

+disp(a)

+//result is displayed//

+