Decimal 357 in binary conversion provides the detailed information on what is the binary equivalent of (357)10, and the step-by-step work for how to convert the decimal (base-10) number 357 to its binary (base-2) equivalent.
(357)10 in binary is equal to:
(357)10 = (?)2
Perform successive MOD-2 operation for decimal 357, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
357 MOD-2 | 357 / 2 = 178 | Remainder is 1 → LSB |
178 MOD-2 | 178 / 2 = 89 | Remainder is 0 |
89 MOD-2 | 89 / 2 = 44 | Remainder is 1 |
44 MOD-2 | 44 / 2 = 22 | Remainder is 0 |
22 MOD-2 | 22 / 2 = 11 | Remainder is 0 |
11 MOD-2 | 11 / 2 = 5 | Remainder is 1 |
5 MOD-2 | 5 / 2 = 2 | Remainder is 1 |
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 357.
35710 = 1011001012
Hence,
357 in binary is 101100101
where,
357
10 is the given decimal number,
10 in 357
10 represents the base-10 or decimal number system,
101100101
2 is the binary equivalent of the decimal 41,
2 in 101100101
2 represents the base-2 or binary number system.
Important Notes: (357)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 357 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 357 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 357 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 357 should be written from MSB to LSB to form the binary equivalent for the given decimal number (357)10.