Skip to main content

DIGITAL LOGIC




  We know, if the switches A and B are closed in the above circuit, the bulb will light up.Even if one is open, the bulb is off.  Logically we can say,  if A and B are true, the output is true else the output is false.  In digital logic it can be written, "if A AND B are 1 the output is 1 else the output is 0".

     The AND logic can be wired electronically.  Instead of switches we will be using automatic switches like diode and transistor.  

    Then we have OR  logic.  That is written as; "if either A OR B is 1 then output is 1". ( If both are 0 then output is 0).

   Next NOT  logic; here the input is reversed and given as output(0 to 1: 1 to 0 ).

    NOT  and  AND  can be combined and it is called NAND logic.  NOT + OR  is called NOR  logic.

     All this logic statements can be hard wired using electronic components and they are used in many devices.  For example :  The AND  logic is used in lift.  " If A door and B door are closed, then only lift must start".  The logic circuits are used in many devices like washing machines, coffee maker, ovens, smart phones etc,.

     The important operation in computer and calculator is binary addition. 
Examples: 0 + 0 = 0, 1 + 0 = 0, 1 + 1 = 10.  These kind of additions are done using logic circuits.

In programming; statements like, " If candidate's maths score> 80 AND  English score>.50, then select" are written.  

     In search engines, if a input "English novels AND Indian authors", it will output results which satisfies both the criteria.

     We now understand decision making hardware can be constructed and decision making software can be written.  Hence logic statements an logic circuits made our life easy.  .
            

Comments

Post a Comment

Popular posts from this blog

THE EARTH, A SUPER ORGANISM

     JOIN MY COURSE: "Become a programmer in a day with python"       A man called 'love lock' (what a name) proposed a theory called Gaia theory, named after Greek Goddess.      It says, "Earth is a self-regulating organism like a human being.  The organic life in it interacts with in-organic matter and maintains atmosphere, temperature and environment".  Hence the earth is still suitable for the life to thrive.      Imagine, in a particular place, there are lot of flowers.  Some flowers are white and some are darkly coloured.  We know, white reflects light and heat while dark absorbs the same.  White flowers can thrive in hot climate.  But dark flowers requires cold climate.  The absorption and reflection balances and the environment reaches average, warm temperature at which both the flowers can co-exist.  This is the essence of "Gaia" theory.      On our earth, ...

THE PARABOLA

          A jet of water shooting from a hose pipe will follow a parabolic path.  What is the so special about parabola.    Y= x^2 Draw a graph for the above equation.  It will result in a parabola.  This parabola is also called unit parabola.  Any equation involving square will yield a parabola. Example:  Y = 2x^2 +3x+3 (also called quadratic equation)    X= 2 and -2, both  satisfies the equation 4 = X^2.  Parabolic equations always have two solutions.     Any motion taking place freely under gravity follows parabolic path. Examples:   An object dropped from a moving train,   A bomb dropped from flying plane,  A ball kicked upwards.      If a beam of light rays fall on the parabolic shaped mirror, they will be reflected and brought to focus on a point.  This fact is made use of in Dish Antenna, Telescope mirrors, etc.   ...

DISORDER IS THE "ORDER OF THE DAY"

         Imagine a balloon full of air.  The air molecules are moving randomly inside the balloon.  Let us pierce the balloon with a pin.  The air rushes out.  Why should not the air molecules stay inside the balloon safely and ignore the little hole?  That is not the way the world works.  The molecules always "want to occupy as many states as possible".  Hence the air goes out in the open to occupy more volume.   The things always goes into disorder (entropy) and the disorder increases with time.  The above statement is what we call "second law of thermodynamics".      Consider a cup of coffee on the table. Suppose the heat from entire room flows to your cup of coffee, the coffee will boil and the rest of the room will freeze.  Freezing means bringing things to order and arrangement.  It violates the second law.  Hence it will never happen.  Hence heat must flow from high ...