CHAPTER 1 : NUMBER SYSTEM

1.5 Basic binary multiplication and division

By Muhammad Luqman bin Md Yusri
      B031210268

Binary Basic concepts:

1. Binary is base 2
2. There are only two digits in counting (1 & 2)
   
   
   Binary Multiplication
   Multiplication in the binary system works the same way as in the decimal system:
   
   • 1*1=1
   • 1*0=0
   • 0*1=0
   
   

      101                      
     * 11
     ____
      101
     1010
    _____
     1111
   

   Note that multiplying by two is extremely easy. To multiply by two, just add a 0 on the end.

Binary Division

Follow the same rules as in decimal division. For the sake of simplicity, throw away the remainder.
For Example: 111011/11

      10011 r 10
    _______
  11)111011
    -11
     ______
       101
       -11
     ______
        101
         11
     ______
         10