Decimal 784 in binary conversion provides the detailed information on what is the binary equivalent of (784)10, and the step-by-step work for how to convert the decimal (base-10) number 784 to its binary (base-2) equivalent.

__(784)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 784, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

784 MOD-2 | 784 / 2 = 392 | Remainder is 0 → LSB |

392 MOD-2 | 392 / 2 = 196 | Remainder is 0 |

196 MOD-2 | 196 / 2 = 98 | Remainder is 0 |

98 MOD-2 | 98 / 2 = 49 | Remainder is 0 |

49 MOD-2 | 49 / 2 = 24 | Remainder is 1 |

24 MOD-2 | 24 / 2 = 12 | Remainder is 0 |

12 MOD-2 | 12 / 2 = 6 | Remainder is 0 |

6 MOD-2 | 6 / 2 = 3 | Remainder is 0 |

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

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

784

Hence,

784

10 in 784

1100010000

2 in 1100010000

The below are some of the important notes to be remembered while converting the base-10 number 784 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 784 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 784 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 784 should be written from MSB to LSB to form the binary equivalent for the given decimal number (784)10.