Decimal 725 in binary conversion provides the detailed information on what is the binary equivalent of (725)10, and the step-by-step work for how to convert the decimal (base-10) number 725 to its binary (base-2) equivalent.
(725)10 in binary is equal to:
(725)10 = (?)2
Perform successive MOD-2 operation for decimal 725, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
725 MOD-2 | 725 / 2 = 362 | Remainder is 1 → LSB |
362 MOD-2 | 362 / 2 = 181 | Remainder is 0 |
181 MOD-2 | 181 / 2 = 90 | Remainder is 1 |
90 MOD-2 | 90 / 2 = 45 | Remainder is 0 |
45 MOD-2 | 45 / 2 = 22 | Remainder is 1 |
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 725.
72510 = 10110101012
Hence,
725 in binary is 1011010101
where,
725
10 is the given decimal number,
10 in 725
10 represents the base-10 or decimal number system,
1011010101
2 is the binary equivalent of the decimal 41,
2 in 1011010101
2 represents the base-2 or binary number system.
Important Notes: (725)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 725 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 725 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 725 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 725 should be written from MSB to LSB to form the binary equivalent for the given decimal number (725)10.