## Description

We can convert **any decimal number into binary number** in c without using an array.

## Decimal Number

A Decimal number is a base 10 of number because it ranges goes from 0 to 9, In decimal number there are total 10 digits between 0 to 9. Any combination of digits is** decimal number**. For Example : 33, 782, 7, 0, 5 etc.

## Binary Number

A binary number a base 2 of number because it ranges goes from 0 to 1, It has only two digits o and 1. Any combination of digits is **binary number**. For Example : 0110001, 111001, 101 etc.

**Decimal to Binary Table** given below...

Decimal | Binary |
---|---|

1 | 1 |

2 | 10 |

3 | 111 |

4 | 100 |

5 | 101 |

6 | 110 |

7 | 111 |

8 | 1000 |

9 | 1001 |

10 | 1010 |

## Algorithm

**Steps:**

- run the loop while n is greater than 0,
- calcualte the remainder and store the value in j variable, after this initilized a variable temp which store the power of 10 after every iteration.
- bin += j * temp -> here we store the new bit in bin variable here bin variable store the binary of the digit.
- after perfom these operation than remove the last bit of the number using n = n / 2;
- Exit to the loop
- Print the binary of the digit given by user.
- Exit the program.

## Using for loop

```
#include <stdio.h>
#include <math.h>
int main() {
int n, i, j, bin = 0, temp;
printf("Enter the Decimal Number : ");
scanf("%d", &n);
temp = n;
for(i = 0; n > 0; i++){
j = n % 2;
int temp = pow(10, i);
bin += j * temp;
n = n / 2;
}
printf("\nBinary of %d is : %d", temp, bin);
return 0;
}
/*
Enter the Decimal Number : 34
Binary of 34 is : 100010
*/
```

## Using while loop

```
#include <stdio.h>
#include <math.h>
int main() {
int n, i = 0, bin = 0, temp;
printf("Enter the Decimal Number : ");
scanf("%d", &n);
temp = n;
while(n > 0){
int temp = pow(10, i);
bin += (n % 2) * temp;
n = n / 2;
i++;
}
printf("\nBinary of %d is : %d", temp, bin);
return 0;
}
/*
Enter the Decimal Number : 34
Binary of 34 is : 100010
*/
```

**Please Comment...**

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