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# 1001 in Binary

1001 in binary is 1111101001. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 10 bits to represent 1001 in binary. In this article, we will show how to convert the decimal number 1001 to binary.

**1001 in Binary:**1001₁₀ = 1111101001₂**1001 in Octal:**1001₁₀ = 1751₈**1001 in Hexadecimal:**1001₁₀ = 3E9₁₆**1111101001₂ in Decimal:**1001₁₀

## How to Convert 1001 in Binary?

**Step 1:** Divide 1001 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.

Dividend | Remainder |
---|---|

1001/2 = 500 | 1 |

500/2 = 250 | 0 |

250/2 = 125 | 0 |

125/2 = 62 | 1 |

62/2 = 31 | 0 |

31/2 = 15 | 1 |

15/2 = 7 | 1 |

7/2 = 3 | 1 |

3/2 = 1 | 1 |

1/2 = 0 | 1 |

**Step 2:** Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 1001.

Therefore, the binary equivalent of decimal number 1001 is 1111101001.

☛ Decimal to Binary Calculator

**Problem Statements: **

What is 1001 in Binary? - (Base 2) | (1111101001)₂ |

What is 1001 in Hexadecimal? - (Base 16) | (3E9)₁₆ |

What is 1001 in Octal? - (Base 8) | (1751)₈ |

Is 1001 a Perfect Cube? | No |

Is 1001 a Perfect Square? | No |

Square Root of 1001 | 31.638584 |

Is 1001 a Composite Number? | Yes |

Cube Root of 1001 | 10.003332 |

Is 1001 a Prime Number? | No |

## FAQs on 1001 in Binary

### What is 1001 in Binary?

1001 in binary is 1111101001. To find decimal to binary equivalent, divide 1001 successively by 2 until the quotient becomes 0. The binary equivalent can be obtained by writing the remainder in each division step from the bottom to the top.

### How Many Bits Does 1001 in Binary Have?

We can count the number of zeros and ones to see how many bits are used to represent 1001 in binary i.e. 1111101001. Therefore, we have used 10 bits to represent 1001 in binary.

### How to Convert 1001 to Binary Equivalent?

We can divide 1001 by 2 and continue the division till we get 0. Note down the remainder in each step.

- 1001 mod 2 = 1 - LSB (Least Significant Bit)
- 500 mod 2 = 0
- 250 mod 2 = 0
- 125 mod 2 = 1
- 62 mod 2 = 0
- 31 mod 2 = 1
- 15 mod 2 = 1
- 7 mod 2 = 1
- 3 mod 2 = 1
- 1 mod 2 = 1 - MSB (Most Significant Bit)

Write the remainders from MSB to LSB. Therefore, the decimal number 1001 in binary can be represented as 1111101001.

### What is the Binary Equivalent of 1001 + 79?

1001 in binary number system is 1111101001 and 79 is 1001111. We can add the binary equivalent of 1001 and 79 using binary addition rules [0 + 0 = 0, 0 + 1 = 1, 1 + 1 = 10 note that 1 is a carry over to the next bit]. Therefore, (1111101001)₂ + (1001111)₂ = (10000111000)₂ which is nothing but 1080.

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### Find the Value of 8 × 1001 in Binary Form.

We know that 1001 in binary is 1111101001 and 8 is 1000. Using the binary multiplication rules (0 × 0 = 0; 0 × 1 = 0 ; 1 × 0 = 0 and 1 × 1 = 1), we can multiply 1111101001 × 1000 = 1111101001000 which is 8008 in the decimal number system. [1001 × 8 = 8008]

**☛ Also Check: **

- 23 in Binary - 10111
- 103 in Binary - 1100111
- 27 in Binary - 11011
- 128 in Binary - 10000000
- 15 in Binary - 1111
- 223 in Binary - 11011111
- 97 in Binary - 1100001

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