Decimal 160 in binary conversion provides the detailed information on what is the binary equivalent of (160)10, and the step-by-step work for how to convert the decimal (base-10) number 160 to its binary (base-2) equivalent.
(160)10 in binary is equal to:
(160)10 = (?)2
Perform successive MOD-2 operation for decimal 160, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
160 MOD-2 | 160 / 2 = 80 | Remainder is 0 → LSB |
80 MOD-2 | 80 / 2 = 40 | Remainder is 0 |
40 MOD-2 | 40 / 2 = 20 | Remainder is 0 |
20 MOD-2 | 20 / 2 = 10 | Remainder is 0 |
10 MOD-2 | 10 / 2 = 5 | Remainder is 0 |
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 160.
16010 = 101000002
Hence,
160 in binary is 10100000
where,
160
10 is the given decimal number,
10 in 160
10 represents the base-10 or decimal number system,
10100000
2 is the binary equivalent of the decimal 41,
2 in 10100000
2 represents the base-2 or binary number system.
Important Notes: (160)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 160 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 160 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 160 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 160 should be written from MSB to LSB to form the binary equivalent for the given decimal number (160)10.