Decimal 325 in binary conversion provides the detailed information on what is the binary equivalent of (325)10, and the step-by-step work for how to convert the decimal (base-10) number 325 to its binary (base-2) equivalent.
(325)10 in binary is equal to:
(325)10 = (?)2
Perform successive MOD-2 operation for decimal 325, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
325 MOD-2 | 325 / 2 = 162 | Remainder is 1 → LSB |
162 MOD-2 | 162 / 2 = 81 | Remainder is 0 |
81 MOD-2 | 81 / 2 = 40 | Remainder is 1 |
40 MOD-2 | 40 / 2 = 20 | Remainder is 0 |
20 MOD-2 | 20 / 2 = 10 | Remainder is 0 |
10 MOD-2 | 10 / 2 = 5 | Remainder is 0 |
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 325.
32510 = 1010001012
Hence,
325 in binary is 101000101
where,
325
10 is the given decimal number,
10 in 325
10 represents the base-10 or decimal number system,
101000101
2 is the binary equivalent of the decimal 41,
2 in 101000101
2 represents the base-2 or binary number system.
Important Notes: (325)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 325 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 325 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 325 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 325 should be written from MSB to LSB to form the binary equivalent for the given decimal number (325)10.