Decimal 27 in binary conversion provides the detailed information on what is the binary equivalent of (27)10, and the step-by-step work for how to convert the decimal (base-10) number 27 to its binary (base-2) equivalent.
(27)10 in binary is equal to:
(27)10 = (?)2
Perform successive MOD-2 operation for decimal 27, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
27 MOD-2 | 27 / 2 = 13 | Remainder is 1 → LSB |
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 |
Arrange the remainders from MSB to LSB forms the binary equivalent of 27.
2710 = 110112
Hence,
27 in binary is 11011
where,
27
10 is the given decimal number,
10 in 27
10 represents the base-10 or decimal number system,
11011
2 is the binary equivalent of the decimal 41,
2 in 11011
2 represents the base-2 or binary number system.
Important Notes: (27)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 27 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 27 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 27 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 27 should be written from MSB to LSB to form the binary equivalent for the given decimal number (27)10.