Decimal 201 in binary conversion provides the detailed information on what is the binary equivalent of (201)10, and the step-by-step work for how to convert the decimal (base-10) number 201 to its binary (base-2) equivalent.

__(201)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 201, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

201 MOD-2 | 201 / 2 = 100 | Remainder is 1 → LSB |

100 MOD-2 | 100 / 2 = 50 | Remainder is 0 |

50 MOD-2 | 50 / 2 = 25 | Remainder is 0 |

25 MOD-2 | 25 / 2 = 12 | Remainder is 1 |

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 |

201

Hence,

201

10 in 201

11001001

2 in 11001001

The below are some of the important notes to be remembered while converting the base-10 number 201 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 201 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 201 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 201 should be written from MSB to LSB to form the binary equivalent for the given decimal number (201)10.