Calculators & Converters

    Convert Decimal 18 to Binary

    (18)10 = (?)2. Decimal 18 in binary conversion provides the detailed information on what is the binary equivalent of (18)10, and the step-by-step work for how to convert the decimal (base-10) number 18 to its binary (base-2) equivalent manually.

    (18)10 in binary is equal to:
    1810 = 100102

    Hence,
    (18)10 is equivalent to (10010)2

    where,
    1810 is the given decimal number,
    10 in 1810 represents the base-10 or decimal number system,
    100102 is the binary equivalent of the decimal 41,
    2 in 100102 represents the base-2 or binary number system.

    Important Notes: (18)10 in Binary
    The below are some of the important notes to be remembered while converting the base-10 number 18 into a binary number.

    1. The initial or first remainder while performing MOD-2 operation for 18 is a Least Significant Bit (LSB).
    2. The last remainder while performing MOD-2 operation for 18 is a Most Significant Bit (MSB).
    3. The remainders of MOD-2 operation for 18 should be written from MSB to LSB to form the binary equivalent for the given decimal number (18)10.

    For decimal values other than 18, use this below tool:

    How-to: What is (18)10 in binary?

    The below step-by-step solution shows how to convert (18)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 18 forms the binary equivalent of 18.

    Solved Example:
    What is the binary equivalent of 18?

    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 18?
    (18)10 = (?)2

    step 2 Perform successive MOD-2 operation for decimal 18, and mark the initial remainder as LSB and the final remainder as MSB as like the below:

    Successive MOD-2 Operation for 18:
    18 MOD-2     18 / 2 = 9  Remainder is 0 → LSB
    9 MOD-2     9 / 2 = 4  Remainder is 1
    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

    step 3 Write the remainders of MOD-2 operation for 18 from MSB to LSB forms the binary equivalent for 18:
    10010
    1810 = 100102

    Therefore,
    the binary equivalent of 18 is (10010)2
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