How to convert from hexadecimal number to binary number.

How to convert base 16 to base 2.

Convert each hex digit to 4 binary digits according to this table:

Hex | Binary |
---|---|

0 | 0000 |

1 | 0001 |

2 | 0010 |

3 | 0011 |

4 | 0100 |

5 | 0101 |

6 | 0110 |

7 | 0111 |

8 | 1000 |

9 | 1001 |

A | 1010 |

B | 1011 |

C | 1100 |

D | 1101 |

E | 1110 |

F | 1111 |

Convert (4E)_{16} to binary:

(4)_{16} = (0100)_{2}

(E)_{16} = (1110)_{2}

_{So}

(4E)_{16} = (01001110)_{2}

Convert (4A01)_{16} to binary:

(4)_{16} = (0100)_{2}

(A)_{16} = (1010)_{2}

(0)_{16} = (0000)_{2}

(1)_{16} = (0001)_{2}

_{So}

(4A01)_{16} = (0100101000000001)_{2}

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