Negative base numbers are an alternate way to encode numbers without the need for a minus sign. Various negative bases may be used including negadecimal (base -10), negabinary (-2) and negaternary (-3).[1][2]



Task

Encode the decimal number 10 as negabinary (expect 11110)
Encode the decimal number 146 as negaternary (expect 21102)
Encode the decimal number 15 as negadecimal (expect 195)
In each of the above cases, convert the encoded number back to decimal.


extra credit

 supply an integer, that when encoded to base   -62   (or something "higher"),   expresses the 
name of the language being used   (with correct capitalization).   If the computer language has 
non-alphanumeric characters,   try to encode them into the negatory numerals,   or use other 
characters instead.


Const DIGITS = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"
Dim Str(63) As String
Private Function mod2(a As Long, b As Integer) As Long
    mod2 = a - (a \ b) * b
End Function
Private Function swap(a As String, b As String)
    Dim t As String
    t = a
    a = b
    b = t
End Function
Private Function EncodeNegativeBase(ByVal n As Long, base As Integer) As String
    Dim ptr, idx As Long
    Dim rem_ As Long
    Dim result As String
    If base > -1 Or base < -62 Then
        EncodeNegativeBase = result
    Else
        If n = 0 Then
            EncodeNegativeBase = "0"
        Else
            ptr = 0
            Do While n <> 0
                rem_ = mod2(n, base)
                n = n \ base
                If rem_ < 0 Then
                    n = n + 1
                    rem_ = rem_ - base
                End If
                result = result & Mid(DIGITS, rem_ + 1, 1)
            Loop
        End If
    End If
    EncodeNegativeBase = StrReverse(result)
End Function
Private Function DecodeNegativeBase(ns As String, base As Integer) As Long
    Dim total As Long, bb As Long
    Dim i As Integer, j As Integer
    If base < -62 Or base > -1 Then DecodeNegativeBase = 0
    If Mid(ns, 1, 1) = 0 Or (Mid(ns, 1, 1) = "0" And Mid(ns, 2, 1) = 0) Then DecodeNegativeBase = 0
    i = Len(ns)
    total = 0
    bb = 1
    Do While i >= 1
        j = InStr(1, DIGITS, Mid(ns, i, 1), vbTextCompare) - 1
        total = total + j * bb
        bb = bb * base
        i = i - 1
    Loop
    DecodeNegativeBase = total
End Function
Private Sub Driver(n As Long, b As Integer)
    Dim ns As String
    Dim p As Long
    ns = EncodeNegativeBase(n, b)
    Debug.Print CStr(n); " encoded in base "; b; " = "; ns
    p = DecodeNegativeBase(ns, b)
    Debug.Print ns; " decoded in base "; b; " = "; p
    Debug.Print
End Sub
Public Sub main()
    Driver 10, -2
    Driver 146, -3
    Driver 15, -10
    Driver 118492, -62
End Sub