Convert Decimal 11 to Binary
(11)10 = (?)2. Decimal 11 in binary conversion provides the detailed information on what is the binary equivalent of (11)10, and the step-by-step work for how to convert the decimal (base-10) number 11 to its binary (base-2) equivalent manually.
(11)10 in binary is equal to:
1110 = 10112
Hence,
(11)10 is equivalent to (1011)2
where,
1110 is the given decimal number,
10 in 1110 represents the base-10 or decimal number system,
10112 is the binary equivalent of the decimal 41,
2 in 10112 represents the base-2 or binary number system.
Important Notes: (11)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 11 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 11 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 11 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 11 should be written from MSB to LSB to form the binary equivalent for the given decimal number (11)10.
How-to: What is (11)10 in binary?
The below step-by-step solution shows how to convert (11)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 11 forms the binary equivalent of 11.
Solved Example:What is the binary equivalent of 11?
step 1 Observe the input parameters, values and what to be found:
Input values:
Decimal Number = (41)10
what to be found:
Which binary value is equal to the decimal number 11?
(11)10 = (?)2
step 2 Perform successive MOD-2 operation for decimal 11, and mark the initial remainder as LSB and the final remainder as MSB as like the below:
Successive MOD-2 Operation for 11:
11 MOD-2 | 11 / 2 = 5 | Remainder is 1 → LSB |
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 |
step 3 Write the remainders of MOD-2 operation for 11 from MSB to LSB forms the binary equivalent for 11:
1011
1110 = 10112
Therefore,
the binary equivalent of 11 is (1011)2
