Decimal 137 in binary conversion provides the detailed information on what is the binary equivalent of (137)10, and the step-by-step work for how to convert the decimal (base-10) number 137 to its binary (base-2) equivalent.
(137)10 in binary is equal to:
(137)10 = (?)2
Perform successive MOD-2 operation for decimal 137, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
137 MOD-2 | 137 / 2 = 68 | Remainder is 1 → LSB |
68 MOD-2 | 68 / 2 = 34 | Remainder is 0 |
34 MOD-2 | 34 / 2 = 17 | Remainder is 0 |
17 MOD-2 | 17 / 2 = 8 | Remainder is 1 |
8 MOD-2 | 8 / 2 = 4 | Remainder is 0 |
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 137.
13710 = 100010012
Hence,
137 in binary is 10001001
where,
137
10 is the given decimal number,
10 in 137
10 represents the base-10 or decimal number system,
10001001
2 is the binary equivalent of the decimal 41,
2 in 10001001
2 represents the base-2 or binary number system.
Important Notes: (137)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 137 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 137 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 137 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 137 should be written from MSB to LSB to form the binary equivalent for the given decimal number (137)10.