Decimal 492 in binary conversion provides the detailed information on what is the binary equivalent of (492)10, and the step-by-step work for how to convert the decimal (base-10) number 492 to its binary (base-2) equivalent.
(492)10 in binary is equal to:
(492)10 = (?)2
Perform successive MOD-2 operation for decimal 492, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
492 MOD-2 | 492 / 2 = 246 | Remainder is 0 → LSB |
246 MOD-2 | 246 / 2 = 123 | Remainder is 0 |
123 MOD-2 | 123 / 2 = 61 | Remainder is 1 |
61 MOD-2 | 61 / 2 = 30 | Remainder is 1 |
30 MOD-2 | 30 / 2 = 15 | Remainder is 0 |
15 MOD-2 | 15 / 2 = 7 | Remainder is 1 |
7 MOD-2 | 7 / 2 = 3 | Remainder is 1 |
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 492.
49210 = 1111011002
Hence,
492 in binary is 111101100
where,
492
10 is the given decimal number,
10 in 492
10 represents the base-10 or decimal number system,
111101100
2 is the binary equivalent of the decimal 41,
2 in 111101100
2 represents the base-2 or binary number system.
Important Notes: (492)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 492 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 492 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 492 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 492 should be written from MSB to LSB to form the binary equivalent for the given decimal number (492)10.