Read a retro display

Ruby, 184 bytes

a=0
l=$<.map{|x|x.bytes.map{|y|y==32?0:1}+[0]*2}
(0..l[0].count-1).map{|i|l[0][i]+2*l[1][i]+4*l[2][i]}.each{|x|
x>0?(a=x+2*a):(p Hash[[40,6,32,20,18,26,42,8,44,64].zip(0..9)][a];a=0)}

Explanation

• takes the input from stdin
• converts the strings to binary sequences, 1/0 for segment on/off
• encodes columns to 3bit binary number
• encodes sequences of 3 bit numbers to 9 bit numbers, use '0' columns as stop symbols
• use a lookup table to convert the 9 bit numbers to digits

This is my first code-golf. Thanks for the fun!

Pyth, 33 30 bytes

sm@."/9Àøw"%%Csd409hTcC.z*3d

Here's the idea: Once we transpose the input, and split into digits, we can sort of hash the individual digit strings and assign them to their values.

sm@."/9Àøw"%%Csd409hTcC.z*3d     Implicit: z=input
                      C.z        Transpose input.
                     c   *3d     Split that on "   ", a space between digits.
 m@."/9Àøw"%%Csd409hT            Map the following lambda d over that. d is a digit string.
             Csd                   Flatten the digit string, and convert from base 256.
            %   409                Modulo that by 409
           %       hT              and then by 11. All digits go to a distinct num mod 11.
   ."/9Àøw"                        The compressed string "03924785/61".
  @                                Index into that string.
s                                Flatten and implicitly output.
  

Try it here.

Japt, 119 bytes

Ur"[|_]"1 z r" +
"R x1 qR² £"11
1 1
1151151
111
 15111
115 1
 1
115 1
111
1511
111
15  1
11511
111
115 1
111
11"q5 bXÃq

Try it here!

Oh geez, this one's really long. I don't think I have finished golfing.

Explanation

Preparation

We take the input and convert any |_ to 1. Then we transpose, strip out ending spaces, and split along double-newlines.

Translation

We map over the resulting array and find the index where the form appears in a reference array. Here's a diagram to help:

MAPITEM
  11
  1 1 --> This same form appears at index 0 in the reference array
  11                            |
                                |
                                V
                        change the mapitem to 0!

After that, we join the array of numbers and output!

NOTE: You may be wondering why we have to change each art character to a series of 1's. This is because there seems to be a bug (or something like that) which doesn't let me store the characters as is with |_.