Mathematics with Binary. Question  Below is a binary string  Which is the least significant bit (LSB)?  Which is the most significant bit (MSB)? 0.

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Presentation transcript:

Mathematics with Binary

Question  Below is a binary string  Which is the least significant bit (LSB)?  Which is the most significant bit (MSB)? MSBLSB

Objectives  Add two binary numbers and multiply two binary numbers.  Convert a denary integer into Two's Complement and vice versa.  Describe the use of Two's Complement to perform subtraction.

Binary Addition  You have to be able to add together two binary numbers, and it’s easy!  Lets try to add together  

Binary Subtraction  Subtraction has an extra step as we have to use two’s complement, to make the number that we are taking way into a negative  Two’s Complement is used to convert a number to a negative  Lets look at taking away the following:  (17)  (13 – Decimal) Step 1 – Convert 13 to twos complement Step 2 – We now add together the two numbers

Binary Multiplication  This can be slightly longer but follows the same rules as doing multiplication in denary.  Lets look at multiplying the following numbers:  