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    Decimal 13 to Binary Conversion

    What is 13 decimal in binary? - converter, chart & solved example problem with step by step workout for how to carry out decimal 13 to binary conversion manually. The base-10 value of 1310 is equal to base-2 value of 11012.
    In different representation
    1310 = 11012
    13 = 0b1101


    DecimalBinaryHex
    11.51011.1B.8
    121100C
    12.51100.1C.8
    131101D
    13.51101.1D.8
    141110E
    14.51110.1E.8
    151111F

    Work to Find What is 13 Decimal in Binary

    The below is the example problem with step by step work to find what is 13 decimal in binary.
    13 Decimal To Binary Conversion:
    step 1 Perform the successive MOD operation by 2 for the given decimal number 13 and note down the remainder (either 0 or 1) for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
    13 / 2 = 6   : Remainder is 1 → LSB
    6 / 2 = 3   : Remainder is 0
    3 / 2 = 1   : Remainder is 1
    1 / 2 = 0   : Remainder is 1 → MSB

    step 2 Write the remainders from MSB to LSB provide the equivalent binary number
    1101
    1310 = 11012
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