Decimal 1003 in binary conversion provides the detailed information on what is the binary equivalent of (1003)10, and the step-by-step work for how to convert the decimal (base-10) number 1003 to its binary (base-2) equivalent.
(1003)10 in binary is equal to:
(1003)10 = (?)2
Perform successive MOD-2 operation for decimal 1003, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
1003 MOD-2 | 1003 / 2 = 501 | Remainder is 1 → LSB |
501 MOD-2 | 501 / 2 = 250 | Remainder is 1 |
250 MOD-2 | 250 / 2 = 125 | Remainder is 0 |
125 MOD-2 | 125 / 2 = 62 | Remainder is 1 |
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 1003.
100310 = 11111010112
Hence,
1003 in binary is 1111101011
where,
1003
10 is the given decimal number,
10 in 1003
10 represents the base-10 or decimal number system,
1111101011
2 is the binary equivalent of the decimal 41,
2 in 1111101011
2 represents the base-2 or binary number system.
Important Notes: (1003)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 1003 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 1003 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 1003 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 1003 should be written from MSB to LSB to form the binary equivalent for the given decimal number (1003)10.