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Showing posts from October, 2020

LOGIC GATES

  LOGIC GATES                       In digital electronics, the decision making capability of the gate circuit is called logic, and a type of logic circuit that performs a specific logical operation e.g AND or OR etc is called a gate. So, the logic gates are the type of electronic circuits that makes logical decisions, and their output depends on the preset rules. The logic gates can have multiple inputs but always has a single output. A gate is just like a switch which can be ON or OFF. The ON state represents logic 1, while the OFF state represents logic 0. A gate can not only add, subtract, count, etc but can also store the information.  The most common types of the gates;                                       In Boolean Algebra, there are three basic operations,   which are analogous to disjunction, conjunction, and negation in  propositional logic . Each of these operations has a corresponding logic gate. Apart from these there are a few other logic gates as well. AND gate   (.)

BINARY ARITHMETIC

 BINARY ARITHMETIC                         Binary arithmetic  is used in digital systems mainly because the numbers (decimal and floating-point numbers) are stored in  binary  format in most computer systems. All  arithmetic  operations such as addition, subtraction, multiplication, and division are done in  binary  representation of numbers.       1) BINARY ADDITION; Binary Addition   It is a key for  binary  subtraction, multiplication, division. There are  four rules of  binary addition .  In fourth case, a  binary addition  is creating a sum of (1 + 1 = 10) i.e. 0 is written in the given column and a carry of 1 over to the next column.     Basic  arithmetic  operations like  addition , subtraction, multiplication, and division, play  an important role in mathematics .         2) BINARY SUBTRACTION;  In  binary subtraction , the only case where  borrowing is necessary  is when 1 is  subtracted  from 0. When this occurs, the  0 in the borrowing column essentially becomes "2&quo