Decimal 25 in binary conversion provides the detailed information on what is the binary equivalent of (25)10, and the step-by-step work for how to convert the decimal (base-10) number 25 to its binary (base-2) equivalent.
(25)10 in binary is equal to:
(25)10 = (?)2
Perform successive MOD-2 operation for decimal 25, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
25 MOD-2 | 25 / 2 = 12 | Remainder is 1 → LSB |
12 MOD-2 | 12 / 2 = 6 | Remainder is 0 |
6 MOD-2 | 6 / 2 = 3 | Remainder is 0 |
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 25.
2510 = 110012
Hence,
25 in binary is 11001
where,
25
10 is the given decimal number,
10 in 25
10 represents the base-10 or decimal number system,
11001
2 is the binary equivalent of the decimal 41,
2 in 11001
2 represents the base-2 or binary number system.
Important Notes: (25)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 25 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 25 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 25 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 25 should be written from MSB to LSB to form the binary equivalent for the given decimal number (25)10.