Decimal 524 in binary conversion provides the detailed information on what is the binary equivalent of (524)10, and the step-by-step work for how to convert the decimal (base-10) number 524 to its binary (base-2) equivalent.
(524)10 in binary is equal to:
(524)10 = (?)2
Perform successive MOD-2 operation for decimal 524, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
524 MOD-2 | 524 / 2 = 262 | Remainder is 0 → LSB |
262 MOD-2 | 262 / 2 = 131 | Remainder is 0 |
131 MOD-2 | 131 / 2 = 65 | Remainder is 1 |
65 MOD-2 | 65 / 2 = 32 | Remainder is 1 |
32 MOD-2 | 32 / 2 = 16 | Remainder is 0 |
16 MOD-2 | 16 / 2 = 8 | Remainder is 0 |
8 MOD-2 | 8 / 2 = 4 | Remainder is 0 |
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 524.
52410 = 10000011002
Hence,
524 in binary is 1000001100
where,
524
10 is the given decimal number,
10 in 524
10 represents the base-10 or decimal number system,
1000001100
2 is the binary equivalent of the decimal 41,
2 in 1000001100
2 represents the base-2 or binary number system.
Important Notes: (524)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 524 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 524 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 524 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 524 should be written from MSB to LSB to form the binary equivalent for the given decimal number (524)10.