# 49 in Binary

Decimal 49 in binary conversion provides the detailed information on what is the binary equivalent of (49)10, and the step-by-step work for how to convert the decimal (base-10) number 49 to its binary (base-2) equivalent.

__(49)10 in binary is equal to:__

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

Perform successive MOD-2 operation for decimal 49, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

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

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 |

49

_{10}= 110001

_{2}

Hence,

**49 in binary is 110001**

__where,__

49

_{10}is the given decimal number,

10 in 49

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

110001

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

2 in 110001

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

__Important Notes: (49)10 in Binary__

The below are some of the important notes to be remembered while converting the base-10 number 49 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 49 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 49 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 49 should be written from MSB to LSB to form the binary equivalent for the given decimal number (49)10.