Decimal 53 in binary conversion provides the detailed information on what is the binary equivalent of (53)10, and the step-by-step work for how to convert the decimal (base-10) number 53 to its binary (base-2) equivalent.

__(53)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 53, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

53 MOD-2 | 53 / 2 = 26 | Remainder is 1 → LSB |

26 MOD-2 | 26 / 2 = 13 | Remainder is 0 |

13 MOD-2 | 13 / 2 = 6 | Remainder is 1 |

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 |

53

Hence,

53

10 in 53

110101

2 in 110101

The below are some of the important notes to be remembered while converting the base-10 number 53 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 53 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 53 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 53 should be written from MSB to LSB to form the binary equivalent for the given decimal number (53)10.