## 1 Conversion steps:

Here are the steps to convert the binary number 100001 to decimal:

- Write down the binary number: 100001
- Assign each digit in the binary number a place value, starting from the rightmost digit with a value of 1, and doubling the value for each digit moving left:

1 0 0 0 0 0 1

64 32 16 8 4 2 1

- Multiply each digit in the binary number with its corresponding place value:

1 x 64 = 64

0 x 32 = 0

0 x 16 = 0

0 x 8 = 0

0 x 4 = 0

0 x 2 = 0

1 x 1 = 1

- Add up the products obtained in step 3 to obtain the decimal equivalent:

64 + 0 + 0 + 0 + 0 + 0 + 1 = 65

Therefore, the binary number 100001 is equivalent to the decimal number 33. Note that this result is different from the decimal value of 65, which was obtained earlier because of a mistake in the conversion process. The correct binary representation of the decimal number 65 is 1000001.

## 2 Binary to Decimal Conversion Table

Binary Number |
Decimal Number |
Hex Number |
---|---|---|

0 | 0 | 0 |

1 | 1 | 1 |

10 | 2 | 2 |

11 | 3 | 3 |

100 | 4 | 4 |

101 | 5 | 5 |

110 | 6 | 6 |

111 | 7 | 7 |

1000 | 8 | 8 |

1001 | 9 | 9 |

1010 | 10 | A |

1011 | 11 | B |

1100 | 12 | C |

1101 | 13 | D |

1110 | 14 | E |

1111 | 15 | F |

10000 | 16 | 10 |

10001 | 17 | 11 |

10010 | 18 | 12 |

10011 | 19 | 13 |

10100 | 20 | 14 |

10101 | 21 | 15 |

10110 | 22 | 16 |

10111 | 23 | 17 |

11000 | 24 | 18 |

11001 | 25 | 19 |

11010 | 26 | 1A |

11011 | 27 | 1B |

11100 | 28 | 1C |

11101 | 29 | 1D |

11110 | 30 | 1E |

11111 | 31 | 1F |

100000 | 32 | 20 |

1000000 | 64 | 40 |

10000000 | 128 | 80 |

100000000 | 256 | 100 |