Decimal 755 in binary conversion provides the detailed information on what is the binary equivalent of (755)10, and the step-by-step work for how to convert the decimal (base-10) number 755 to its binary (base-2) equivalent.
(755)10 in binary is equal to:
(755)10 = (?)2
Perform successive MOD-2 operation for decimal 755, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
755 MOD-2 | 755 / 2 = 377 | Remainder is 1 → LSB |
377 MOD-2 | 377 / 2 = 188 | Remainder is 1 |
188 MOD-2 | 188 / 2 = 94 | Remainder is 0 |
94 MOD-2 | 94 / 2 = 47 | Remainder is 0 |
47 MOD-2 | 47 / 2 = 23 | Remainder is 1 |
23 MOD-2 | 23 / 2 = 11 | Remainder is 1 |
11 MOD-2 | 11 / 2 = 5 | Remainder is 1 |
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 755.
75510 = 10111100112
Hence,
755 in binary is 1011110011
where,
755
10 is the given decimal number,
10 in 755
10 represents the base-10 or decimal number system,
1011110011
2 is the binary equivalent of the decimal 41,
2 in 1011110011
2 represents the base-2 or binary number system.
Important Notes: (755)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 755 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 755 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 755 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 755 should be written from MSB to LSB to form the binary equivalent for the given decimal number (755)10.