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Math Help - binary & decimal representations of int. - N, M are int, formed by reverse ...

  1. #1
    Member cassiopeia1289's Avatar
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    binary & decimal representations of int. - N, M are int, formed by reverse ...

    Bank ID number is 237(a4)18538 and has an illegible 4th digit.
    Determine the value of a4.

    They also give the check digit formula, so a9 = 7(a1) + 3(a2) + 9(a3) + 7(a4) + 3(a5) + 9(a6) + 7(a7) + 3(a8) (mod 10)
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    Hello, cassiopeia1289!

    Bank ID number is: . 237(a_4)18538 and has an illegible 4th digit.
    Determine the value of a_4.

    They also give the check-digit formula:
    . . a_9 \:= \:7(a_1) + 3(a_2) + 9(a_3) + 7(a_4) + 3(a_5) + 9(a_6) + 7(a_7) + 3(a_8) \pmod{10}

    Using the check-digit formula:

    . . 8 \:=\:7(2) + 3(3) + 9(7) + 7(a_4) + 3(1) + 9(8) + 7(5) + 3(3) \pmod{10}

    . . 8 \:=\:7(a_4) + 205 \pmod{10}


    We have: . 7(a_4) \:=\:\text{-}197 \pmod{10}

    . . . . . . . . 7(a_4) \:=\:3 \pmod{10}

    . . . . . . . . . a_4 \:=\:9

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    Member cassiopeia1289's Avatar
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    awesome, thank you!
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