Write a program in C++ to display the multiplication table vertically from 1 to n.
Flowchart of Multiplication table in C++
C++ Source Code of Program of Multiplication table Vertically from 1 to n
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 |
#include<iostream> using namespace std; int main() { int i,j,a,b; cout<<"Enter two numbers: "; cin>>a>>b; i=a; do { j=1; do { cout<<i<<"*"<<j<<"="<<i*j<<endl; j++; } while(j<=10); i++; } while(i<=b); } |
Output
Exercise
Find the possible mistakes in the following Shamil’s Flow Table of the program of Multiplication Table vertically from 1 to 2.
| Loop
a=1, b=2 |
Condition | What line will execute | Actual work to do |
| j=1<=10
|
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16, 17 | j=1
i*j=1, j++, j=2 |
|
| j=2<=10
|
True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17 |
1*2=2
j++, j=3 |
| j=3<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16,17 |
1*3=3
j++, j=4 |
| j=4<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17 |
1*4=4
j++, j=5 |
| j=5<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16, 17 |
1*5=5
j++, j=6 |
| j=6<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16, 17 |
1*6=6
j++, j=7 |
| j=7<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16, 17 |
1*7=7
j++, j=8 |
| j=8<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16, 17 |
1*8=8
j++, j=9 |
| j=9<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16, 17 |
1*9=9
j++, j=10 |
| j=10<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16, 17 |
1*10=10
j++, j=11 |
| j=11<=10 | False | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19, 20 |
i++, i=2 |
|
i<=b, b=2 1<=2 |
True |
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16, 17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16 |
j=1 i*j=2*1=2 j++, j=2 |
| j<=10
j=2<=10 |
True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, |
j=1
i*j=2*2=4 j++, j=3 |
| j=3<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16 |
j=1
i*j=2*3=6 j++, j=4 |
| j=4<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16 |
j=1
i*j=2*4=8 j++, j=5 |
| j=5<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16 |
j=1
i*j=2*5=10 j++, j=6 |
| j=6<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 |
j=1
i*j=2*6=12 j++, j=7 |
| j=7<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16 |
j=1
i*j=2*7=14 j++, j=8 |
| j=8<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16, 17,12,13,14,15,16 |
j=1
i*j=2*8=16 j++, j=9 |
| j=9<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16 |
j=1
i*j=2*9=18 j++, j=10 |
| j=10<=10 | True | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16 |
j=1
i*j=2*10=20 j++, j=11 |
|
j=11<=10
|
False |
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16, 17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16,17, |
i++ i=3 |
| i<=b
i=3<=2
|
False | 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,12,13,14,15,16,17, 12,13,14,15,16, 17, 12,13,14,15,16, 17, 12,13,14,15,16 , 17, 12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,12,13,14,15,16 ,17,12,13,14,15,16,17,18,19,20,9, ,10,11,12,13,14,15,16,17,12,13,14,15,16, ,17,12,13,14,15,16,17,12,13,14,15,16, 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16, 17,12,13,14,15,16 , 17,12,13,14,15,16,17,18,19,20,21 |
End |
Flowchart of Multiplication table Vertically from 1 to n using for loop
C++ Source Code of Program of Multiplication table Vertically from 1 to n using for loop
Lets us see the Program of Multiplication table showing Vertically from 1 to n by using for loop.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 |
#include<iostream> using namespace std; int main() { int j,i,n; cout<<"Input upto the table number starting from 1 : "; cin>>n; cout<<"Multiplication table from 1 to "<<n<<endl; for(i=1;i<=10;i++) { for(j=1;j<=n;j++) { if(j<=n-1) { cout<<i<<" X "<<j<<" = "<<j*i; } else { cout<<i<<" X "<<j<<" = "<<j*i; } } cout<<endl; } } |
Output
Declarations Flow table (DFT) of Multiplication table Vertically from 1 to n
Let us see the DFT of the above program.
| Variable | Declaration
(Line Number) |
Initialization
(Line Number) |
Use
(Line Number) |
| I | 5 | 9A,9C | 9B,19,15 |
| j | 5 | 11A,11C, | 11B,13,15,19 |
| n | 5 | 7 | 9B,13 |
Flowchart of first 10 natural numbers using while loop
Sum of the 1st ten natural numbers in C++ using while loop
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 |
#include <iostream> using namespace std; int main() { int j, sum = 0; cout<<"The first 10 natural number is :\n"; j=1; while(j<=10) { sum = sum + j; cout<<" "<<j; j++; } cout<<"\nThe Sum is : "<< sum; } |
Output
The first 10 natural number is :
1 2 3 4 5 6 7 8 9 10
The Sum is : 55
