Calculators & Converters
    Decimal Arithmetic & Conversion
    Binary :
     
    Octal :
     
    Hex :
     
     
    42


    share
    feedback
    calculator
    info
    history
    loading
    HISTORY




    Decimal 42 to Binary Conversion

    What is 42 decimal in binary? - converter, chart & solved example problem with step by step workout for how to carry out decimal 42 to binary conversion manually. The base-10 value of 4210 is equal to base-2 value of 1010102.
    In different representation
    4210 = 1010102
    42 = 0b101010


    DecimalBinaryHex
    40.5101000.128.8
    4110100129
    41.5101001.129.8
    421010102A
    42.5101010.12A.8
    431010112B
    43.5101011.12B.8
    441011002C

    Work to Find What is 42 Decimal in Binary

    The below is the example problem with step by step work to find what is 42 decimal in binary.
    42 Decimal To Binary Conversion:
    step 1 Perform the successive MOD operation by 2 for the given decimal number 42 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).
    42 / 2 = 21   : Remainder is 0 → LSB
    21 / 2 = 10   : Remainder is 1
    10 / 2 = 5   : Remainder is 0
    5 / 2 = 2   : Remainder is 1
    2 / 2 = 1   : Remainder is 0
    1 / 2 = 0   : Remainder is 1 → MSB

    step 2 Write the remainders from MSB to LSB provide the equivalent binary number
    101010
    4210 = 1010102
    More Resources
    getcalc.com Calculators