Decimal 997 in binary conversion provides the detailed information on what is the binary equivalent of (997)10, and the step-by-step work for how to convert the decimal (base-10) number 997 to its binary (base-2) equivalent.
(997)10 in binary is equal to:
(997)10 = (?)2
Perform successive MOD-2 operation for decimal 997, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
997 MOD-2 | 997 / 2 = 498 | Remainder is 1 → LSB |
498 MOD-2 | 498 / 2 = 249 | Remainder is 0 |
249 MOD-2 | 249 / 2 = 124 | Remainder is 1 |
124 MOD-2 | 124 / 2 = 62 | Remainder is 0 |
62 MOD-2 | 62 / 2 = 31 | Remainder is 0 |
31 MOD-2 | 31 / 2 = 15 | Remainder is 1 |
15 MOD-2 | 15 / 2 = 7 | Remainder is 1 |
7 MOD-2 | 7 / 2 = 3 | Remainder is 1 |
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 997.
99710 = 11111001012
Hence,
997 in binary is 1111100101
where,
997
10 is the given decimal number,
10 in 997
10 represents the base-10 or decimal number system,
1111100101
2 is the binary equivalent of the decimal 41,
2 in 1111100101
2 represents the base-2 or binary number system.
Important Notes: (997)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 997 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 997 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 997 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 997 should be written from MSB to LSB to form the binary equivalent for the given decimal number (997)10.