### Problem statement

Write a problem which takes a *binary number* from the user and convert them into a *decimal number*.

### What is *binary number* and *decimal number*?

A *binary number* is consist of only 0’s and 1’s.

We can represent any number into the *binary* form.

Each digit is referred to as a bit.

Numbers from 2 to 9 are called as *decimal numbers*.

For example:

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

0 | 0000 |

1 | 0001 |

2 | 0010 |

3 | 0011 |

4 | 0100 |

5 | 0101 |

6 | 0110 |

7 | 0111 |

8 | 1000 |

9 | 1001 |

In this way, we can convert any number into the *binary number*.

### Program for converting binary to decimal.

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#include<stdio.h> int main() { int binary_number, decimal_number=0, rem, num,base=1; printf("Enter a binary number\n"); scanf("%d",&binary_number); num = binary_number; while (binary_number > 0) { rem = binary_number % 10; decimal_number = decimal_number + rem * base; binary_number = binary_number / 10 ; base = base * 2; } printf("Input binary number is %d\n", num); printf("Converted decimal number is %d",decimal_number); } |

Output:

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Enter a binary number 101101 Input binary number is 101101 Converted decimal number is 45 |