Decimal 355 in binary conversion provides the detailed information on what is the binary equivalent of (355)10, and the step-by-step work for how to convert the decimal (base-10) number 355 to its binary (base-2) equivalent.

__(355)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 355, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

355 MOD-2 | 355 / 2 = 177 | Remainder is 1 → LSB |

177 MOD-2 | 177 / 2 = 88 | Remainder is 1 |

88 MOD-2 | 88 / 2 = 44 | Remainder is 0 |

44 MOD-2 | 44 / 2 = 22 | Remainder is 0 |

22 MOD-2 | 22 / 2 = 11 | Remainder is 0 |

11 MOD-2 | 11 / 2 = 5 | Remainder is 1 |

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 |

355

Hence,

355

10 in 355

101100011

2 in 101100011

The below are some of the important notes to be remembered while converting the base-10 number 355 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 355 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 355 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 355 should be written from MSB to LSB to form the binary equivalent for the given decimal number (355)10.