Decimal 464 in binary conversion provides the detailed information on what is the binary equivalent of (464)10, and the step-by-step work for how to convert the decimal (base-10) number 464 to its binary (base-2) equivalent.

__(464)10 in binary is equal to:__

(464)_{10} = (?)_{2}

Perform successive MOD-2 operation for decimal 464, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

464 MOD-2 | 464 / 2 = 232 | Remainder is 0 → LSB |

232 MOD-2 | 232 / 2 = 116 | Remainder is 0 |

116 MOD-2 | 116 / 2 = 58 | Remainder is 0 |

58 MOD-2 | 58 / 2 = 29 | Remainder is 0 |

29 MOD-2 | 29 / 2 = 14 | Remainder is 1 |

14 MOD-2 | 14 / 2 = 7 | Remainder is 0 |

7 MOD-2 | 7 / 2 = 3 | Remainder is 1 |

3 MOD-2 | 3 / 2 = 1 | Remainder is 1 |

1 MOD-2 | 1 / 2 = 0 | Remainder is 1 → MSB |

464

Hence,

464

10 in 464

111010000

2 in 111010000

The below are some of the important notes to be remembered while converting the base-10 number 464 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 464 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 464 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 464 should be written from MSB to LSB to form the binary equivalent for the given decimal number (464)10.