Number System Part 3

Operations Involving Binary Numbers

Mainly, there are 4 operations involving Binary Numbers, That is


1.Addition

2.Subtraction

3. Multiplication

4.Division


But i will cover ONLY on subtraction because other operation are as simple as normal

operation in decimal numbers.


For other operation involving Binary Numbers u can refer it on the video above







So I will explain to all of you currently reading this on subtraction between binary numbers.

This will require us to convert the binary numbers in to TWO's Complement.


What is a Two's Complement? Its a step to find a negative number for binary to use for subtraction

operation for binary numbers. The MSB (Most Significant Bit) of a negative binary must be 1.


"Keep in mind that even positive number has a Two's complement but it will turn  to be the same binary number due to the MSB (Most Significant Bit) must be a 0!!"
Steps to convert to a Two's Complement


1.Make sure change it to a nearest 4 times bits type either 4 bits , 8 bits or 16 bits.

2. Reverse all the Number of the binary means from 1 to 0 and 0 to 1




eg:


                         From -->

                                     0111


                         To --->

                                    1000


3.Add 1 to the LSB (Least Significant Bit)



eg:

                     1000 
                        + 1  
                      1001

Therefore the 2's Complement of 0111 is 1001 .



Looks like we are done with the binary numbers. Lets jump to Hexadecimal and Decimal Numbers.
                                                          By: Lai Chai Teng