Decimal 215 in binary conversion provides the detailed information on what is the binary equivalent of (215)10, and the step-by-step work for how to convert the decimal (base-10) number 215 to its binary (base-2) equivalent.
(215)10 in binary is equal to:
(215)10 = (?)2
Perform successive MOD-2 operation for decimal 215, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
215 MOD-2 | 215 / 2 = 107 | Remainder is 1 → LSB |
107 MOD-2 | 107 / 2 = 53 | Remainder is 1 |
53 MOD-2 | 53 / 2 = 26 | Remainder is 1 |
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 |
Arrange the remainders from MSB to LSB forms the binary equivalent of 215.
21510 = 110101112
Hence,
215 in binary is 11010111
where,
215
10 is the given decimal number,
10 in 215
10 represents the base-10 or decimal number system,
11010111
2 is the binary equivalent of the decimal 41,
2 in 11010111
2 represents the base-2 or binary number system.
Important Notes: (215)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 215 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 215 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 215 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 215 should be written from MSB to LSB to form the binary equivalent for the given decimal number (215)10.