DIVISIBILITY OF NUMBERS BY 20 to 23

Divisibility rule for 20:

The no whose last two digits are divisible by 20 is divisible by 20.

5580 : 80 is divisible by 20

Divisibility rule for 21:

If the number is divisible by 3 and 7, then the number is divisible by 21

Divisibility rule for 22:

If the number is divisible by 2 and 11, then the number is divisible by 22

Divisibility rule for 23:

Multiply unit place by 7(Key no of 23) add it to rest of the digits.

For                                                1 5 1 5 7x 7

                                                            4 9

                                                -----------------------------

                                                        1 5 6 4 x 7

                                                           2 8

                                                ------------------------------

                                                       1 8 4 x 7

                                                       2 8

                                                --------------------------------

                                                       4 6:So 12468 is not divisible by 23

DIVISIBILITY OF NUMBERS BY 14 to 19

By 14:

If the number is divisible by 2 and 7, then the number is divisible by 14

By15:

If the number is divisible by 3 and 5, then the number is divisible by 15

By 16:

If the last four digits of the number is divisible by 16, then the number will be divisible by 16.
e.g.-  67891888 : Since 1888 is divisible by 16,So the number is divisible by 16.

By 17:

Multiply unit place by 12(Key no of 17) add it to rest of the digits.

for key number: 17 x 7=119 , key no. = 11+1=12

DIVISIBILITY OF NUMBERS BY 10 to 13

BY 10

The no having 0 in its unit place is divisible by 10.
6679 : 9 is unit digit place ,So 6679 is not divisible by 10.
4570 : 0 is unit digit place ,So 4570 is not divisible by 10.

BY 11

The no whose difference of sum of every other digit
is divisible by 11.
14568:(1+5+8)-(4+6)=4
So it is not divisible by 11.
1331:(1+3)-(1+3)=0
So it is not divisible by 11. 

BY 12

MAGIC OF 9

Reminder when divided by 9

Do you know ,the reminder when a number is divided by 9 is the sum of digits.
for e.g. the reminder when 9456(above example) is divided by 9 is 6
the reminder when 3858(above example) is divided by 9 is 6

No to be Added for divisibility by 9

Again, Do you know ,the number to be added so that the number will be divisible by 9
is (9 - sum of digits)
the number to be added so that 9456 will be divisible by 9 is 9-6=3
the number to be added so that 45874 will be divisible by 9 is
4+5+8+7+4 = 28 : 2+8 =10:1+0=1 So 9 – 1 = 8 will be added so that 45874 will be divisible by 9

DIVISIBILITY OF NUMBERS BY 7,8&9

BY 7

First let’s Know about the
KEY NUMBER

for 7 : 7 X 7 = 49     : So Key no is 4 + 1 = 5
for 13 : 13 X 3 = 39  : So Key no is 3 + 1 = 4
it is especially important for PRIME NUMBERS. NOW

Divisibility rule for 7:

Multiply unit place by 5 add it to rest of the digits.
for 12468 : 

8 x 5      :40+1246=1286 

6 x 5      :30+128=158

8 x 5      :40+15=55

55  :So 12468 is not divisible by 7

BY 8

The no whose last three digits are divisible by 8 is divisible by 8.

12565588 : 588 is not divisible by 8
So 12565588 is not divisible by 8.

BY 9

The no whose sum of digits are divisible by 9

e.g.- 9456 : 9+4+5+6=24 : 2+4=6
which is not divisible by 9 ,So 9456 is not divisible by 9

        3858 : 3+8+5+8=24 : 2+4=6
which is not divisible by 9 ,So 3858 is not divisible by 9

                              

DIVISIBILITY OF NUMBERS BY 2 to 6

DIVISIBILITY 

BY 2

The no having 2,4,6,8,0 in its unit place is divisible by 2.

BY 3

The no whose sum of digits are divisible by 3

e.g.- 

1456 : 1+4+5+6=16 : 1+6=7
which is not divisible by 3 ,So 1456 is not divisible by 3

3957 : 3+9+5+7=24 : 2+4=6
which is not divisible by 3 ,So 3957 is not divisible by 3

MULTIPLIATION TRICK-5

Multiplication of 3 related numbers

In this method we can multiply three related numbers i.e. numbers which are closer or nearer to a number which is multiple of 10, i.e 20,30,50,100,200 etc.

we will take that number as base for this multiplication .

 Example-1  :                                          

                                                                 11  + 1

                                                                 12  + 2

                                                                 13  + 3

                          ---------------------------------------------------------

                                     11+2+3 / (1X2)+(2X3)+(3X1) / 1X2X3   

                                   = 16/11/6   

                                   = 16+1/1/6     //here each part can contain only one digit as 
                                                       base 10 has only one zero in it. so 2nd digit
                                                     carried to next part and added with 16,16+1=17.

                                    = 1716   (ans)

INTRODUCTION to MICROCONTROLLER(AtMega32)

What is a Micro-controller?
Earlier, there was no Machine or component Which can function as a receive some input and transmit some output  by itself i.e. it will act like a human brain itself once it is initialized or instructed to do so.
First,We tried to make something that'll function the above way..

So,MICRO-CONTROLLER is a Electronic device,Which is considered to be the simplest Computer processor (Brain of the Computer). It  contains the following contents which make it highly Powerful  they are:

MULTIPLICATION TRICK - 4

uurdhva-tiryagbhyam

     By this method you can multiply any number having any number of digits easily.

Example 1:

  67

× 78 

---------------------------------------------------------------------------------------------

6x7 / (6x8)+(7x7) / 7x8 

    =    2 7 6

 + 4 9 5 

----------------

=     5 2 2 6 

=  5226

Here step-1 : 7x8 = multiplication of unit digits of the number

                    (6x8)+(7x7)= cross multiplication between the digits of two places and adding them.

                     6x7 = multiplication of last digits of the number

         step-2: writing the result of above step part wise i.e here three parts and carrying the 2nd digit to next  part as one part can contain only one digit.

         step-3: summing them up and writing the final answer .

               IS NOT IT SO SIMPLE !!!!!

MULTIPLICATION TRICK-3

In the last post we had discussed about NIKHILAM NABATAH CHARAMAM DASATAHA

 Now we will be discussing about ANURUPYENA , which is a corollary of  that.

Anurupyena(corollary):

If the numbers to be multiplied are far from these bases,then we can take the working base as 40,50,200,300 etc.

 

                                            49  -1

                                          ×44  -6

---------------------------------------------------------------------------------

                 {(49-06)or(44-01)}x5 / (-6)x(-1)  =   43x5  /  6

                                         = 2156

MULTIPLICATION TRICK-2

Nikhilam Navatah charamam Dasatah

    In this method 10,100,1000 … are taken as base and multiplication   of numbers nearer to these bases can be done easily.

 for example-

         96    -  04       //as the   number is less than 100 by 4                             

    ×   93    -  07      //as the   number is less than 100 by 7

---------------------------------                                         

  (96-07)or(93-04) / (-04)x(-07)        //step - 1: multiply -04 and -07

   = 89 / 28                                        //step-2 : write 96 - 07 or 93 - 04

   =  8928

Easy Multiplication

Ekadhikena Purvena

 By this rule we can calculate

a) square of a number ending with 5:

for e.g.

 

            〖65〗^2                         〖 195〗^2

              = 6x7/5x5                            = 19x20/5x5

              = 42/25                                =380/25

              =4225                                   =38025

(b)Multiply numbers having unit digits adding up to 10 & rest of digits same

FIRST PROGRAME

First of all,

Why Programming!!!!!!!!!!!!!!

because we need to tell a machine what to do....

Programing:

makes machine do anything we want..

languages:

Machine level: Tedious and error prone .
Natural languages: Ambiguous and hard for computer to Understand.

So,We have to create some mediators

That's where high level programing languages come.
like C,C++,Java,Python etc....

But Languages like embedded C are somewhat different..
 Especially meant for  some dedicated Machines mainly processors..

Don't worry.......We are going to introduce you to 
Basic Programing as well as embedded Systems.. a lot easily
 

Vedic Maths

Now lets go to "VEDIC MATHEMATICS"...
what our ancestors have done and what our vedas say to make calculations easier :)

The ancient system of Vedic Mathematics was rediscovered from the Indian Sanskrit texts known as the Vedas, between 1911 and 1918 by Sri Bharati Krishna Tirthaji (1884-1960).first published in 1965. It contains a list of mental calculation techniques claimed to be based on the Vedas. Its characterization as "Vedic" mathematics has been criticized by academics.

Basic to vedic mathematics:

VINIKULAM:- Vinikulam of some numbers are,

                   

This concept is used to make the digits of a number less than 5

 So that calculations will be easier.We will be using it frequently.

Introduction

we are going to make you acquainted  with new advent of technologies like robotics,automation,world wide new invention n release of products ......

Also the basics of robotics and automation.
which includes :
       1. basic electronics
       2. basic programming
       3. embedded systems
       4. tricky vedic mathematics
      and  many more.