Decimal 501 in binary conversion provides the detailed information on what is the binary equivalent of (501)10, and the step-by-step work for how to convert the decimal (base-10) number 501 to its binary (base-2) equivalent.

__(501)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 501, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

501 MOD-2 | 501 / 2 = 250 | Remainder is 1 → LSB |

250 MOD-2 | 250 / 2 = 125 | Remainder is 0 |

125 MOD-2 | 125 / 2 = 62 | Remainder is 1 |

62 MOD-2 | 62 / 2 = 31 | Remainder is 0 |

31 MOD-2 | 31 / 2 = 15 | Remainder is 1 |

15 MOD-2 | 15 / 2 = 7 | Remainder is 1 |

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 |

501

Hence,

501

10 in 501

111110101

2 in 111110101

The below are some of the important notes to be remembered while converting the base-10 number 501 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 501 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 501 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 501 should be written from MSB to LSB to form the binary equivalent for the given decimal number (501)10.