# Binary 1001 to Decimal Conversion

What is 1001 binary in decimal? - converter, chart & solved example problem with step by step workout for how to carry out binary 1001 to decimal conversion manually. The base-2 value of 1001_{2} is equal to base-10 value of 9_{10}.__In different representation__

1001_{2} = 9_{10}

0b1001 = 9_{10}

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

111.1 | 7.5 | 7.8 |

1000 | 8 | 8 |

1000.1 | 8.5 | 8.8 |

1001 | 9 | 9 |

1001.1 | 9.5 | 9.8 |

1010 | 10 | A |

## Work to Find What is 1001 Binary in Decimal

The below is the example problem with step by step work to find what is 1001 binary in decimal.

The given Binary Number = 1001

step 1 Write summation of multiplication of each bit with increasing power of 2 from the right to left of the binary number 1001.

1 x 2

step 2 Simplify the above expression

8 + 0 + 0 + 1 = 9

__1001 Binary To Decimal Conversion:__The given Binary Number = 1001

_{2}step 1 Write summation of multiplication of each bit with increasing power of 2 from the right to left of the binary number 1001.

1 x 2

^{3}+ 0 x 2^{2}+ 0 x 2^{1}+ 1 x 2^{0}step 2 Simplify the above expression

8 + 0 + 0 + 1 = 9

**1001**_{2}= 9_{10}You may like the below resources!