# 321 in Binary

Decimal 321 in binary conversion provides the detailed information on what is the binary equivalent of (321)10, and the step-by-step work for how to convert the decimal (base-10) number 321 to its binary (base-2) equivalent.

__(321)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 321, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

321 MOD-2 | 321 / 2 = 160 | Remainder is 1 → LSB |

160 MOD-2 | 160 / 2 = 80 | Remainder is 0 |

80 MOD-2 | 80 / 2 = 40 | Remainder is 0 |

40 MOD-2 | 40 / 2 = 20 | Remainder is 0 |

20 MOD-2 | 20 / 2 = 10 | Remainder is 0 |

10 MOD-2 | 10 / 2 = 5 | Remainder is 0 |

5 MOD-2 | 5 / 2 = 2 | Remainder is 1 |

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

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

321

_{10}= 101000001

_{2}

Hence,

**321 in binary is 101000001**

__where,__

321

_{10}is the given decimal number,

10 in 321

_{10}represents the base-10 or decimal number system,

101000001

_{2}is the binary equivalent of the decimal 41,

2 in 101000001

_{2}represents the base-2 or binary number system.

__Important Notes: (321)10 in Binary__

The below are some of the important notes to be remembered while converting the base-10 number 321 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 321 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 321 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 321 should be written from MSB to LSB to form the binary equivalent for the given decimal number (321)10.