# 56 in Binary

Decimal 56 in binary conversion provides the detailed information on what is the binary equivalent of (56)10, and the step-by-step work for how to convert the decimal (base-10) number 56 to its binary (base-2) equivalent.

__(56)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 56, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

56 MOD-2 | 56 / 2 = 28 | Remainder is 0 → LSB |

28 MOD-2 | 28 / 2 = 14 | Remainder is 0 |

14 MOD-2 | 14 / 2 = 7 | Remainder is 0 |

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 |

56

_{10}= 111000

_{2}

Hence,

**56 in binary is 111000**

__where,__

56

_{10}is the given decimal number,

10 in 56

_{10}represents the base-10 or decimal number system,

111000

_{2}is the binary equivalent of the decimal 41,

2 in 111000

_{2}represents the base-2 or binary number system.

__Important Notes: (56)10 in Binary__

The below are some of the important notes to be remembered while converting the base-10 number 56 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 56 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 56 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 56 should be written from MSB to LSB to form the binary equivalent for the given decimal number (56)10.