Decimal 298 in binary conversion provides the detailed information on what is the binary equivalent of (298)10, and the step-by-step work for how to convert the decimal (base-10) number 298 to its binary (base-2) equivalent.
(298)10 in binary is equal to:
(298)10 = (?)2
Perform successive MOD-2 operation for decimal 298, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
298 MOD-2 | 298 / 2 = 149 | Remainder is 0 → LSB |
149 MOD-2 | 149 / 2 = 74 | Remainder is 1 |
74 MOD-2 | 74 / 2 = 37 | Remainder is 0 |
37 MOD-2 | 37 / 2 = 18 | Remainder is 1 |
18 MOD-2 | 18 / 2 = 9 | Remainder is 0 |
9 MOD-2 | 9 / 2 = 4 | Remainder is 1 |
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 298.
29810 = 1001010102
Hence,
298 in binary is 100101010
where,
298
10 is the given decimal number,
10 in 298
10 represents the base-10 or decimal number system,
100101010
2 is the binary equivalent of the decimal 41,
2 in 100101010
2 represents the base-2 or binary number system.
Important Notes: (298)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 298 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 298 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 298 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 298 should be written from MSB to LSB to form the binary equivalent for the given decimal number (298)10.