Convert Decimal 12 to Binary
(12)10 = (?)2. Decimal 12 in binary conversion provides the detailed information on what is the binary equivalent of (12)10, and the step-by-step work for how to convert the decimal (base-10) number 12 to its binary (base-2) equivalent manually.
(12)10 in binary is equal to:
1210 = 11002
(12)10 is equivalent to (1100)2
1210 is the given decimal number,
10 in 1210 represents the base-10 or decimal number system,
11002 is the binary equivalent of the decimal 41,
2 in 11002 represents the base-2 or binary number system.
Important Notes: (12)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 12 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 12 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 12 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 12 should be written from MSB to LSB to form the binary equivalent for the given decimal number (12)10.
How-to: What is (12)10 in binary?
The below step-by-step solution shows how to convert (12)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 12 forms the binary equivalent of 12.Solved Example:
What is the binary equivalent of 12?
step 1 Observe the input parameters, values and what to be found:
Decimal Number = (41)10
what to be found:
Which binary value is equal to the decimal number 12?
(12)10 = (?)2
step 2 Perform successive MOD-2 operation for decimal 12, and mark the initial remainder as LSB and the final remainder as MSB as like the below:
Successive MOD-2 Operation for 12:
|12 MOD-2||12 / 2 = 6||Remainder is 0 → LSB|
|6 MOD-2||6 / 2 = 3||Remainder is 0|
|3 MOD-2||3 / 2 = 1||Remainder is 1|
|1 MOD-2||1 / 2 = 0||Remainder is 1 → MSB|
step 3 Write the remainders of MOD-2 operation for 12 from MSB to LSB forms the binary equivalent for 12:
1210 = 11002
the binary equivalent of 12 is (1100)2