Counting in binary nybbles

MATL, 6 bytes

0:10YB

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Explanation

0:10    % Create the array [0...10]
YB      % Convert this array to a binary string where each number is 
        % placed on a new row
        % Implicitly display the result
        

05AB1E, 9 8 bytes

T         # push 10
 4ã       # cartesian product repeat with 4
   R      # reverse list
    T>£   # take the first 11 elements of the list
      »   # join by newline and display

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JavaScript, 46 bytes

for(i=15;i++<26;)alert(i.toString(2).slice(1))

Why use a padding function when you can simply add 16 to each number and slice off the first binary digit?