Decimal 309 in binary conversion provides the detailed information on what is the binary equivalent of (309)10, and the step-by-step work for how to convert the decimal (base-10) number 309 to its binary (base-2) equivalent.
(309)10 in binary is equal to:
(309)10 = (?)2
Perform successive MOD-2 operation for decimal 309, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
309 MOD-2 | 309 / 2 = 154 | Remainder is 1 → LSB |
154 MOD-2 | 154 / 2 = 77 | Remainder is 0 |
77 MOD-2 | 77 / 2 = 38 | Remainder is 1 |
38 MOD-2 | 38 / 2 = 19 | Remainder is 0 |
19 MOD-2 | 19 / 2 = 9 | Remainder is 1 |
9 MOD-2 | 9 / 2 = 4 | Remainder is 1 |
4 MOD-2 | 4 / 2 = 2 | Remainder is 0 |
2 MOD-2 | 2 / 2 = 1 | Remainder is 0 |
1 MOD-2 | 1 / 2 = 0 | Remainder is 1 → MSB |
Arrange the remainders from MSB to LSB forms the binary equivalent of 309.
30910 = 1001101012
Hence,
309 in binary is 100110101
where,
309
10 is the given decimal number,
10 in 309
10 represents the base-10 or decimal number system,
100110101
2 is the binary equivalent of the decimal 41,
2 in 100110101
2 represents the base-2 or binary number system.
Important Notes: (309)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 309 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 309 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 309 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 309 should be written from MSB to LSB to form the binary equivalent for the given decimal number (309)10.