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# Hex to Binary Converter

Write the hexadecimal value and click calculate button to get the binary number.

## Hex to Binary

Hex to Binary converter is used to convert hexadecimal numbers to binary numbers.

## Give a brief idea about Hex to binary conversion

For conversion from hexadecimal to binary first, convert it in decimal and then take its lcm with 2 and write the remainder backwardly with base 2 and similarly, for converting in octal take lcm with 8 and write the remainder backwardly with base 8

## How to convert hex to binary?

**Example 1:**

Change (41)_{16 }in the binary number.

**Solution**

**Step 1:** Convert hex to decimal number

(41)_{16} = 4 × 16^{1} + 1 × 16^{0} = 64 + 1 = (65)_{10}

**Step 2:** Convert decimal to binary number to get hex to binary result.

2 | 65 |

2 | 32 - 1 |

2 | 16 – 0 |

2 | 8 - 0 |

2 | 4 – 0 |

2 | 2 – 0 |

| 1 - 0 |

(65)_{10} = (1000001)_{2}

**Example 2:**

Change (81)_{16 }in the binary number.

**Ans:**

**Solution**

**Step 1:** Convert hex to decimal number

(81)_{16} = 8 × 16^{1} + 1 × 16^{0} = 128 + 1 = (129)_{10}

**Step 2:** Convert decimal to binary number to get hex to binary result.

2 | 129 |

2 | 64 – 1 |

2 | 32 - 0 |

2 | 16 – 0 |

2 | 8 - 0 |

2 | 4 – 0 |

2 | 2 – 0 |

| 1 - 0 |

(65)_{10} = (10000001)_{2}