Decimal 88 in binary conversion provides the detailed information on what is the binary equivalent of (88)10, and the step-by-step work for how to convert the decimal (base-10) number 88 to its binary (base-2) equivalent.
(88)10 in binary is equal to:
(88)10 = (?)2
Perform successive MOD-2 operation for decimal 88, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
88 MOD-2 | 88 / 2 = 44 | Remainder is 0 → LSB |
44 MOD-2 | 44 / 2 = 22 | Remainder is 0 |
22 MOD-2 | 22 / 2 = 11 | Remainder is 0 |
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 88.
8810 = 10110002
Hence,
88 in binary is 1011000
where,
88
10 is the given decimal number,
10 in 88
10 represents the base-10 or decimal number system,
1011000
2 is the binary equivalent of the decimal 41,
2 in 1011000
2 represents the base-2 or binary number system.
Important Notes: (88)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 88 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 88 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 88 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 88 should be written from MSB to LSB to form the binary equivalent for the given decimal number (88)10.