Decimal 240 in binary conversion provides the detailed information on what is the binary equivalent of (240)10, and the step-by-step work for how to convert the decimal (base-10) number 240 to its binary (base-2) equivalent.

__(240)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 240, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

240 MOD-2 | 240 / 2 = 120 | Remainder is 0 → LSB |

120 MOD-2 | 120 / 2 = 60 | Remainder is 0 |

60 MOD-2 | 60 / 2 = 30 | Remainder is 0 |

30 MOD-2 | 30 / 2 = 15 | Remainder is 0 |

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 |

240

Hence,

240

10 in 240

11110000

2 in 11110000

The below are some of the important notes to be remembered while converting the base-10 number 240 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 240 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 240 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 240 should be written from MSB to LSB to form the binary equivalent for the given decimal number (240)10.