Let's golf a BIBABOBU decoder

Question

While I was traveling in the future, I noticed a funny game among kids circa 2275. When they don't want their great-great-great-great-grand parents to understand what they're saying, they use the BIBABOBU speak. Obviously, I couldn't understand anything either with my pre-cyborg era brain and I felt (or technically: I will feel) really silly. So, I'd need a decoder for my next visit.

BIBABOBU?

While it's been deprecated for a long time, ASCII is still commonly used in the pop culture of 2275 and this language is based upon it.

A string is BIBABOBU-encoded that way:

• Convert all characters to their ASCII codes.

• Take the 2-digit hexadecimal representation of each code and convert them using the following table:

  0: BI  4: BIDI  8: BADI  C: BODI
  1: BA  5: BIDA  9: BADA  D: BODA
  2: BO  6: BIDO  A: BADO  E: BODO
  3: BU  7: BIDU  B: BADU  F: BODU
  

Example

"Hello!" → 48 65 6C 6C 6F 21 → "BIDIBADI BIDOBIDA BIDOBODI BIDOBODI BIDOBODU BOBA"

However, the corresponding input would be given without any space to mimic the monotonous intonation that kids are using to make this even harder to understand without implants:

"BIDIBADIBIDOBIDABIDOBODIBIDOBODIBIDOBODUBOBA"

Clarifications and rules

• Remember that I need a decoder, not an encoder.
• Decoded characters are guaranteed to be in the range [ 32...126 ].
• The input is guaranteed to contain en even number of BIBABOBU-encoded hexadecimal digits.
• You may take input in either full lowercase or full uppercase. Mixed cases are not allowed.
• Because bit flips are quite common during a time travel, this is code-golf in order to minimize the risks.

Test cases

NB: Linefeeds are used below for formatting purposes only. You are not supposed to handle them.

Input:
BIDABIDIBIDOBIDABIDUBUBIDUBIDI

Output:
Test

Input:
BIDABIDUBIDOBIDABIDOBODIBIDOBUBIDOBODUBIDOBODABIDOBIDABOBIBIDUBIDIBIDOBODUBOBIBUBOBUBOBUBI
DUBUBIDABOBA

Output:
Welcome to 2275!

Input:
BIDIBADIBIDOBIDABIDOBODIBIDOBODIBIDOBODUBOBODIBOBIBIDABIDIBIDOBADABIDOBODABIDOBIDABOBIBIDA
BIDIBIDUBOBIDOBABIDUBIDOBIDOBIDABIDOBODIBIDOBIDABIDUBOBOBABOBIBIDABADABIDOBODUBIDUBIDABOBI
BIDOBODIBIDOBODUBIDOBODUBIDOBADUBOBIBIDUBUBIDOBODUBOBIBIDOBIDOBIDUBIDABIDOBODOBIDOBODOBIDU
BADABOBA

Output:
Hello, Time Traveler! You look so funny!

Input:
BIDIBABIDOBODOBIDOBIDIBOBIBIDUBADABIDOBODUBIDUBIDABOBIBIDOBIDIBIDOBODUBIDOBODOBOBIDUBIDUBI
DIBOBIBIDUBIDABIDOBODOBIDOBIDIBIDOBIDABIDUBOBIDUBUBIDUBIDIBIDOBABIDOBODOBIDOBIDIBOBIBIDUBI
DUBIDOBADIBIDOBABIDUBIDIBOBIBIDIBADABOBIDUBIDOBODABOBIBIDUBUBIDOBABIDUBADABIDOBADABIDOBODO
BIDOBIDUBOBODIBOBIBIDOBIDIBIDOBODUBOBIBIDUBADABIDOBODUBIDUBIDABUBODUBOBIBIDIBADIBIDOBABOBI
BIDOBADIBIDOBABOBIBIDOBADIBIDOBABOBA

Output:
And you don't understand what I'm saying, do you? Ha ha ha!

Answer 1

05AB1E, 36 35 33 bytes

Saved 1 byte thanks to Mr.Xcoder
Saved 2 bytes thanks to KevinCruijssen

ć©¡®ì®D…IAO©â'D«‚˜®'U«âJskh2ôJHçJ

Try it online! or as a Test Suite

Explanation

ć©¡                                 # extract the head ("B") and split input on it
   ®ì                              # prepend "B" to each
     ®D                            # push 2 copies of "B"
       …IAO©â                      # cartesian product with "IAO"
             'D«                   # append "D" to each
                ‚˜                 # add the leftover "B" to the list
                  ®'U«â            # cartesian product with "IAOU"
                       J           # join each to string
                        sk         # get the index of each word of the input in this list
                          h        # convert each to hex
                           2ôJ     # format as pairs of chars
                              H    # convert to int
                               çJ  # convert from ascii-codes to string

Answer 2

Jelly, 26 24 23 22 20 17 15 bytes

ṣḢO^1%9%4Ḅḅ⁴b⁹Ọ

Try it online!

How it works

ṣḢO^1%9%4Ḅḅ⁴b⁹Ọ  Main link. Argument: s (string)

 Ḣ               Head; remove and yield the first character of s.
ṣ                Split s at occurrences of the result ('B').
  O              Ordinal; map "IAOUD" to A1 := [73, 65, 79, 85, 68].
   ^1            Bitwise XOR 1; map A1 to A2 := [72, 64, 78, 84, 69].
     %9          Modulo 9; map A2 to A3 := [0, 1, 6, 3, 6].
       %4        Modulo 4; map A3 to A4 := [0, 1, 2, 3, 2].
                 So far, we've mapped "BX" to [x] and "BXDY" to [x, 2, y],
                 where x/y = 0, 1, 2, 3 when X/Y = I, A, O, U.
         Ḅ       Unbinary; map [x] to x and [x, 2, y] to 4x + 2×2 + y = 4(x + 1) + y.
          ḅ⁴     Convert the resulting array from base 16 to integer.
            b⁹   Convert the resulting integer to base 256.
              Ọ  Unordinal; replace code points with their characters.

Answer 3

Perl 6, 58 bytes

{S:g{(B.[D.]?)**2}=chr :16[$0».&{:2[.ords»³X%87 X%4]}]}

Try it online!

Heavily inspired by Dennis' Jelly solution. Uses a different magic function x³ % 87 % 4 which also maps the ASCII codes of IAOUBD to 012302.

Alternative 75 74 bytes version

-1 byte thanks to Jo King

{pack('H',.trans((<B BID BAD BOD>X~ <I A O U>)=>(^16)».base(16))).decode}

Try it online!

Alternative 85 bytes version

{S:g[....]=chr :4(~$/)*2+|221+^:4(~$/)+^238}o{TR:d/UIAOBD/0123/}o{S:g[B.<![D]>]=0~$/}

Try it online!

Answer 4

Python 2, 100 97 96 95 bytes

^{-1 byte thanks to ovs
-1 byte thanks to G B}

lambda w:''.join(' 1023546798abdcef'[int(c,35)/7%77%18]for c in w.split('B')[1:]).decode("hex")

Try it online!

Answer 5

Perl 5 -p, 67 bytes

for$p(<{B,0D,1D,2D}{I,A,O,U}>){s/$p/chr$i+48/ge;$i++}$_=pack'H*',$_

Try it online!

Answer 6

05AB1E (legacy), 68 65 60 59 bytes

.•5Ç¿ÆΓ•2ô.•1ÒKá ¸ΓìŸÆt`ô_zTºγ„KRI‰ι놽òι•4ô«I¬©¡®ìkh2ôJHçJ

Input is in lowercase.

-3 bytes implicitly thanks to @Emigna changing 'b¡εg>}s£ to 'b©¡®ì.

Try it online or verify all test cases.

Also, can definitely be golfed with something smarter than the huge compressed strings. Will take another look later on. Shorter answer already provided by @Emigna, so make sure to upvote him!

Explanation:

.•5Ç¿ÆΓ•      # Compressed string "bibabobu"
        2ô    # Split in parts of 2
              #  → ["bi","ba","bo","bu"]
.•1ÒKá ¸ΓìŸÆt`ô_zTºγ„KRI‰ι놽òι•
              # Compressed string "bidibidabidobidubadibadabadobadubodibodabodobodu"
        4ô    # Split in parts of 4
              #  → ["bidi","bida","bido","bidu","badi","bada","bado","badu","bodi","boda","bodo","bodu"]
«             # Merge both lists together
              #  → ["bi","ba","bo","bu","bidi","bida","bido","bidu","badi","bada","bado","badu","bodi","boda","bodo","bodu"]
I¬©¡          # Take the input and split on the head (always 'b')
              #  i.e. "bidibadibidobidabidobodibidobodibidoboduboba"
              #   → ["idi","adi","ido","ida","ido","odi","ido","odi","ido","odu","o","a"]
    ®ì        # And prepend a 'b' to each item again
              #  i.e. ["idi","adi","ido","ida","ido","odi","ido","odi","ido","odu","o","a"] 
              #   → ["bidi","badi","bido","bida","bido","bodi","bido","bodi","bido","bodu","bo","ba"]
k             # Map each item to the index of the first list
              #   i.e. ["bidi","badi","bido","bida","bido","bodi","bido","bodi","bido","bodu","bo","ba"]
              #    → [4,8,6,5,6,12,6,12,6,15,2,1]
 h            # Convert everything to hexadecimal
              #  i.e. [4,8,6,5,6,12,6,12,6,15,2,1]
              #   → ["4","8","6","5","6","C","6","C","6","F","2","1"]
  2ôJ         # Split it in parts of 2 and join them together
              #  i.e. ["4","8","6","5","6","C","6","C","6","F","2","1"]
              #   → ["48","65","6C","6C","6F","21"]
     H        # Convert that from hexadecimal to an integer
              #  i.e. ["48","65","6C","6C","6F","21"] → [72,101,108,108,111,33]
      ç       # And take its ASCII value
              #  i.e. [72,101,108,108,111,33] → ["H","e","l","l","o","!"]
       J      # Then join everything together (and output implicitly)
              #  i.e. ["H","e","l","l","o","!"] → "Hello!"

Answer 7

Perl 6, 88 86 84 bytes

{S:g{B(.*?)B(.D.|.)}=chr :16[$/.map:{first :k,~$_,("",|<ID AD OD UD>X~ <I A O U>)}]}

Try it online!

Answer 8

R, 141 135 bytes

function(x,y="I":"A":"O")intToUtf8(matrix(match(el(strsplit(gsub("D","",x),"B"))[-1],paste0(rep("":y,e=4),y:"U"))-1,,2,T)%*%16:1)
":"=c

Try it online!

Thanks to JayCe for saving 6 bytes!

Using some modular magic is likely to be shorter, but I'm pretty happy with this as a naive first pass.

Answer 9

Japt, 43 29 28 bytes

Unsurprisingly, a port of Dennis' Jelly solution works out much shorter.

Outputs an array of characters.

Åqbu)®¬®c ^1 %9%4Ãì2Ãò ®ìG d

Try it

---

Original, 42 bytes

Åqb £`bbidbad¾d`ò3n)ï`ia`q)m¬bXibÃò ®ìG d

Try it

Explanation

Åqb £`bbidbad¾d`ò3n)ï`ia`q)m¬bXibÃò ®ìG d
Å                                              :Slice off the first character
 qb                                            :Split on "b"
    £                                          :Map
     `bbidbad¾d`                               :  Compressed string "bbidbadbod"
                ò3n)                           :  Partition at every 3rd character from the end (["b","bid","bad","bod"])
                    ï                          :  Cartesian product
                     `ia`                      :   Compressed string "iaou"
                          q                    :   Split
                           )                   :  End Cartesian product
                            m                  :  Map
                             ¬                 :   Join
                              b                :  Index of
                               X               :   Current element
                                ib             :   Prepend "b"
                                  Ã            :End map
                                   ò           :Partition at every second element
                                     ®         :Map
                                      ìG       :  Convert from base-16 digit array to base-10 integer
                                         d     :  Get the character at that codepoint

Answer 10

C (gcc), 181 138 136 bytes

Hopefully there will be a C compiler in the future to compile this! :-)

Thanks to Max Yekhlakov and ceilingcat for the suggestions.

v,t,c,d;f(char*s){for(v=t=c=0;d=*s++;)t+=d==66?v=v*16+t,++c>2?v=!putchar(v),c=1:0,-t:d-65?d-79?d-68?d-85?0:3:4+t*3:2:1;putchar(v*16+t);}

Try it online!

---

In case the C compiler of the future only understands BIBABOBU-ified ASCII :-)

BIDUBIDOBOBODIBIDUBIDIBOBODIBIDOBUBUBADUBIDOBIDOBOBADIBIDOBUBIDOBADIBIDOBABIDUBOBOBADOBIDUBUBOBADABIDUBADUBIDOBIDOBIDOBODUBIDUBOBOBADIBIDUBIDOBUBODABIDUBIDIBUBODABIDOBUBUBODABUBIBUBADUBOBADOBIDUBUBUBADUBIDUBUBOBADUBOBADUBOBADABIDUBIDIBOBADUBUBODABOBADOBIDUBUBUBODABUBODABUBIDOBUBIDOBUBODUBIDUBIDOBUBODABIDUBIDOBOBADOBUBABUBIDOBOBADUBIDUBIDIBOBODIBOBADUBOBADUBIDOBUBUBODOBUBOBUBODUBIDUBIDOBUBODABOBABIDUBIBIDUBIDABIDUBIDIBIDOBUBIDOBADIBIDOBABIDUBOBOBADIBIDUBIDOBOBADABOBODIBIDOBUBUBODABUBABUBADOBUBIBOBODIBOBODABIDUBIDIBUBADOBOBADOBIDUBUBOBODABUBIDOBUBIDABUBODUBOBADOBIDUBUBOBODABUBIDUBUBADABUBODUBOBADOBIDUBUBOBODABUBIDOBUBADIBUBODUBOBADOBIDUBUBOBODABUBADIBUBIDABUBODUBUBIBUBADOBUBUBUBADOBUBIDIBOBADUBIDUBIDIBOBADOBUBUBUBADOBUBOBUBADOBUBABUBADUBIDUBIBIDUBIDABIDUBIDIBIDOBUBIDOBADIBIDOBABIDUBOBOBADIBIDUBIDOBOBADOBUBABUBIDOBOBADUBIDUBIDIBOBADABUBADUBIDUBODA

(Encoder Try it online!)

Answer 11

JavaScript (Node.js), 131 128 bytes

s=>unescape(s.replace(/B.(D.)?/g,(f,s)=>(-~g(f[1])*4*!!s+g((s||f)[1])).toString(16),g=c=>'IAOU'.search(c)).replace(/../g,'%$&'))

Try it online! Link includes test cases. Alternative version, also 131 bytes:

s=>unescape(s.replace(/B.(D.)?/g,s=>(-~g(s[1])*4*!!s[3]+g(s[3]||s[1])).toString(16),g=c=>'IAOU'.search(c)).replace(/../g,'%$&'))

Try it online! Link includes test cases. Edit: Saves 3 bytes thanks to @Shaggy.

Answer 12

Bash + common Linux utilities, 75 bytes

sed $(printf `printf %s s/{B{O,A,I}D,B}{U,O,A,I}/%x/g\;` {15..0})|xxd -r -p

Try it online!

Answer 13

Scala, 305 bytes

Well, I'm pretty sure this can be golfed out. But still, it exists. Takes input lowercase. f prints out the result in stdout.

EDIT: -8 chars thanks to me not being dumb anymore (spaces); -13 chars thanks to crater2150

var k=Seq("bi","ba","bo","bu")
k++=k.init.flatMap(a=>Seq("di","da","do","du").map(a+_))//Putting "bu" here instead of at line 1, and in place of using init, would be interesting... if it did not cause a typing problem
var m=Seq[String]()
def g(a:Seq[String],b:Int)=k.indexOf(a(b)).toHexString
def f(a:String){a.split('b').drop(1).foreach(x=>m:+="b"+x)
var i=0
while(i<m.length){print(Integer.parseInt(g(m,i)+g(m,i+1),16).toChar)
i+=2}}

Try it online!

Answer 14

Python 2, 142 139 127 118 bytes

lambda s:''.join(chr(16*a+b)for a,b in zip(*[iter(4*F(l[:-2])+F(l[-1])-1for l in s.split('B')[1:])]*2));F=' IAOU'.find

Try it online!

Answer 15

Python 2, 93 bytes

lambda w:''.join('c60238e4d1_b7f95a'[hash(x)%3046%17]for x in w.split('B')[1:]).decode('hex')

Try it online!

Answer 16

Ruby, 86 75 bytes

->s{[s.gsub(/B[^B]+/){|x|"546798ABDCEF1023"[x.to_i(31)/7%38%20]}].pack'H*'}

Try it online!

Answer 17

Dyalog APL, 74 72 bytes

Beginner level solution in Dyalog APL (just started learning this a couple of days ago!). Defines a dfn that takes one right argument (the input). 72 characters, 72 bytes when using the dyalog encoding. Based on Emigna's solution in 05AB1E .

{⎕UCS 16⊥¨(1 0⍴⍨≢t)⊂1-⍨(,('B',('B'∘.,'IAO'),¨'D')∘.,'IAOU')⍳t←('B'⍷⍵)⊂⍵}

Answer 18

Jelly, 39 bytes

®+“IAO”+”D®;p“IAOU”Ẏ€
=”B©œṗµḊ¢iⱮ’s2ḅ⁴Ọ

Try it online!

The technique used is very similar to Emigna's. I will golf this further soon, hopefully.

Answer 19

Brain-Flak, 178 bytes

{(([((((()()()()){}){}){}()){}]{}){{}<>(({}){}){}(<>)}{}<({}(<>))(<>)((()()()())({})()){{(({})){({}[()])<>}{}}<>({}<>)<>{}}{}><>{}{})<>}<>([]){{}({}(((({}){}){}){}){}<>)<>([])}<>

Try it online!

Explanation

# Step 1: convert to hex.
# For each pair of letters in the input:
{

  (

    # Compare first letter to B
    ([((((()()()()){}){}){}()){}]{})

    # If not B, pop previous output, multiply by 4, and put on third stack.
    # 4 is added automatically from pushing/popping the difference
    # between the letters B and D.
    {{}<>(({}){}){}(<>)}{}

    <

      # Push second letter in pair to other stack
      ({}(<>))

      # Push 4 and 9
      (<>)((()()()())({})())

      # Compute 3-((8-(n mod 9)) mod 4)
      # (same as (n-1) mod 9 mod 4)
      {{(({})){({}[()])<>}{}}<>({}<>)<>{}}{}

    >

    # Add result to third stack (either 0 or 4*previous+4)
    <>{}{}

  # Push onto second stack
  )

<>}

# Step 2: Pair up hex digits.
# While digits remain on right stack:
<>([]){{}

  # Push top of stack + 16*second on stack to left stack
  ({}(((({}){}){}){}){}<>)<>

([])}

# Switch to left stack for output.
<>

Answer 20

05AB1E, 30 bytes

ć¡Ç1^9%4%εDg≠i421øP]€OžvβžzвçJ

Port of @Dennis' insane Jelly answer (just with less convenient builtins). So make sure to upvote him!

Try it online or verify all test cases.

Explanation:

ć¡             # Split the input-string on its first character ('B')
               #  i.e. "BIDABIDIBIDOBIDABIDUBUBIDUBIDI"
               #   → ["IDA","IDI","IDO","IDA","IDU","U","IDU","IDI"]
  Ç            # Convert each character to it's ordinal value
               #  → [[73,68,65],[73,68,73],[73,68,79],[73,68,65],[73,68,85],85,[73,68,85],[73,68,73]]
   1^          # XOR it by 1
               #  → [[72,69,64],[72,69,72],[72,69,78],[72,69,64],[72,69,84],84,[72,69,84],[72,69,72]]
     9%        # Take modulo-9
               #  → [[0,6,1],[0,6,0],[0,6,6],[0,6,1],[0,6,3],3,[0,6,3],[0,6,0]]
       4%      # Take Modulo-4
               #  → [[0,2,1],[0,2,0],[0,2,2],[0,2,1],[0,2,3],3,[0,2,3],[0,2,0]]
ε         ]    # Now map it to:
 Dg≠i          # If the length is not 1:
               #  i.e. [0,2,1] → 3 → 1 (truthy)
               #  i.e. 3 → 1 → 0 (falsey)
     421øP     # Multiply the first number by 4, second by 2, and third by 1
               #  i.e. [0,2,1] and [4,2,1] → [[0,4],[2,2],[1,1]] → [0,4,1]
           €O  # Then sum every inner list
               #  [[0,4,1],[0,4,0],[0,4,2],[0,4,1],[0,4,3],3,[0,4,3],[0,4,0]]
               #   → [5,4,6,5,7,3,7,4]
žvβ            # Convert this list from base-16 to base-10
               #  → 1415934836
   žzв         # Convert this integer from base-10 to base-256
               #  → [84,101,115,116]
      ç        # Convert this number to ASCII characters
               #  → ["T","e","s","t"]
       J       # Join the characters together (and output implicitly)
               #  → "Test"

Answer 21

Java (JDK 10), 199 bytes

s->{var z="";for(var x:s.substring(1).split("B")){int d=-1;for(var y:x.split("D"))d=-~d*4+"IAOU".indexOf(y);z+=(char)(d>9?d+55:d+48);}return new String(new java.math.BigInteger(z,16).toByteArray());}

Try it online!

Credits

• -2 bytes thanks to Arnauld

Answer 22

VBA (Excel), with an amazing 322 244 bytes

Yeah, and I LOVE hexadecimal. (There's no sarcasm font yet, so I'm using italics for now) I'll add comments if someone wants, but I think it's self explanatory. Golfing happened.

Sub b(s)
For Each c In Split(Replace(s,"D",""),"B")
c=Application.Match(c,Array("I","A","O","U","II","IA","IO","IU","AI","AA","AO","AU","IO","OA","OO","OU"),0)
If Not IsError(c)Then d=d &c-1:If Len(d)=2Then e=e &Chr("&h"&d):d=""
Next
Debug.?e
End Sub

With Comments:

Sub b(s)
  'For each string between B's (Remove the D's first)
  For Each c In Split(Replace(s,"D",""),"B")
    'Get the index of the element in the array (Can cause error if empty)
    c = Application.Match (c,Array("I","A","O","U","II","IA","IO","IU","AI","AA","AO","AU","IO","OA","OO","OU"),0)
    'If c isn't an error
    If Not IsError(c) Then
      'Subtract 1 from c and add to d  --> Array index is 1 based
      d = d & (c-1)
      'If d is 2 characters
      If Len(d)=2 Then
        'Add the char from the hex value of d   --> &h forces Hex
        e = e & Chr("&h" & d)
        'Reset d
        d = ""
      End if
    End if
  Next
  'Print the output
  Debug.Print e
End Sub

I really tried to get this into the VB Immediate Window, but it doesn't seem to work there... that would cut 11 characters I think. I also wanted to put the Match statement into brackets, but that causes a silent error everytime. Help is appreciated :D

Answer 23

Haxe, 228 bytes

s->{var l=(u,i)->((i=u.charCodeAt(i))&8==8?0:1)|((i>>1)&2),p=s.split("B"),i=-1,q,o;[while((i+=2)<p.length)String.fromCharCode(l(q=p[i+1],o=q.length-1)+((o>1?l(q,0)+1:0)+((l(q=p[i],o=q.length-1)+o*(l(q,0)+1)*2)*4))*4)].join("");}

Not the best, standard library function names are too large :(

Try it online!

Answer 24

Pyth, 35 bytes

mCid16cm+4imx"IAOU"k.[N2d4tc-Q\D\B2

Outputs as a list of characters.
Try it here

Explanation

mCid16cm+4imx"IAOU"k.[N2d4tc-Q\D\B2
                          tc-Q\D\B   Get the vowels associated with each digit.
       m            .[N2d            Pad with a quote.
           mx"IAOU"k                 Find each character's position.
        +4i              4           Convert to base 4 and add 4.
      c                           2  Split the result into pairs.
mCid16                               Get the associated ASCII characters.

Answer 25

Charcoal, 36 bytes

ＦＳ≡ιB⊞υ⁰D⊞υ×⁴⊕⊟υ⊞υ⁺⊟υ⊕⌕AOUι⭆⪪υ²℅↨ι¹⁶

Try it online! Link is to verbose version of code. Explanation:

ＦＳ≡ι

Loop over each input character and switch.

B⊞υ⁰

If it's a B then push 0 to the predefined empty list.

D⊞υ×⁴⊕⊟υ

If it's a D then pop the last value, increment it, multiply by 4, and push it again.

⊞υ⁺⊟υ⊕⌕AOUι

Otherwise, find the index in the string AOU, increment it, and add to the last value.

⭆⪪υ²℅↨ι¹⁶

Split the list into pairs of values, decode as base 16, convert to ASCII, and implicitly print.

Answer 26

Clean, 145 134 bytes

import StdEnv                   // import things like addition and comparison
?c=(743rem(toInt c))/16         // magical formula that maps ['IAOU'] to [0,1,2,3]
@[_,b,'D',d:t]=[?d+ ?b*4+4: @t] // convert B#D#
@[_,b:t]=[?b: @t]               // convert "B#"
@_=[]                           // handle base case
$[u,v:t]=[u<<4+v: $t]           // turn the digits into 2-digit numbers
$e=e                            // handle base case

toString o$o@                   // convert to string (make numbers (make digits))

Try it online!

Explained:

Answer 27

PHP, 119 bytes

foreach(explode(B,$argn)as$i=>$m)($v=$v*16+4*strpos(XIAO,$m[-3]?:B)+strpos(IAOU,$m[-1]?:B))?$i&1||print chr($v&=255):0;

assumes uppercase input. Run as pipe with -nR or try it online.

requires PHP 7.1
for older PHP, use substr($m,-3,1) and substr($m,-1) instead of $m[-<x>] (+16 bytes);
for younger PHP, put B, XIAO and IAOU in quotes to avoid warning messages (+10 bytes).

Answer 28

05AB1E, 40 bytes

'B"IAOU"©âÐUs'D®ââJ)˜sXíDεSðý}:#khJ2ôHçJ

Try it online!

Answer 29

PHP, 163 bytes

function f($s){$t=[I=>0,A=>1,O=>2,U=>3];for($q=explode(B,$s);$a=&$q[++$i];){$a=($a[1]?($t[$a[0]]+1)*4:0)+$t[$a[2*($a[1]==D)]];$i%2?:print(chr(($q[$i-1]<<4)+$a));}}

Call f(string $s) with the appropriate string of bibabobu-encoded characters, and it will print the decoded string.

Answer 30

Python 3, 199 bytes

import re
lambda s:''.join(eval(re.sub(r'(\d+), (\d+)',r'chr(16*\1+\2)',str(eval(s.replace('I','1').replace('A','2').replace('O','3').replace('U','4').replace('B',',-1+').replace('D','*4+')[1:])))))

Not the shortest but without loops.