# Convert Decimal 48 to Binary

(48)10 = (?)2. Decimal 48 in binary conversion provides the detailed information on what is the binary equivalent of (48)10, and the step-by-step work for how to convert the decimal (base-10) number 48 to its binary (base-2) equivalent manually.

__(48)10 in binary is equal to:__

48_{10} = 110000_{2}

Hence,

(48)10 is equivalent to (110000)2

__where,__

48_{10} is the given decimal number,

10 in 48_{10} represents the base-10 or decimal number system,

110000_{2} is the binary equivalent of the decimal 41,

2 in 110000_{2} represents the base-2 or binary number system.

__Important Notes: (48)10 in Binary__

The below are some of the important notes to be remembered while converting the base-10 number 48 into a binary number.

- The initial or first remainder while performing MOD-2 operation for 48 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 48 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 48 should be written from MSB to LSB to form the binary equivalent for the given decimal number (48)10.

## How-to: What is (48)10 in binary?

The below step-by-step solution shows how to convert (48)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 48 forms the binary equivalent of 48.

__Solved Example:__

What is the binary equivalent of 48?

step 1 Observe the input parameters, values and what to be found:

__Input values:__

Decimal Number = (41)

_{10}

__what to be found:__

Which binary value is equal to the decimal number 48?

(48)10 = (?)2

step 2 Perform successive MOD-2 operation for decimal 48, and mark the initial remainder as LSB and the final remainder as MSB as like the below:

__Successive MOD-2 Operation for 48:__

48 MOD-2 | 48 / 2 = 24 | Remainder is 0 → 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 |

step 3 Write the remainders of MOD-2 operation for 48 from MSB to LSB forms the binary equivalent for 48:

110000

**48**

_{10}= 110000_{2}Therefore,

the binary equivalent of 48 is (110000)2