#MATL, 24 bytes

j1Y24Y2hG5IePtk=~!XB1+)h

Uses current version (9.1.0) of the language/compiler.

Examples

>> matl
 > j1Y24Y2hG5IePtk=~!XB1+)h
 >
> a0RE000000IJmcN
a0RE000000IJmcNMAT

>> matl
 > j1Y24Y2hG5IePtk=~!XB1+)h
 >
> a01M00000062mPg
a01M00000062mPgIAI

Explanation

j            % input string
1Y2          % predefined literal: 'ABC...Z'
4Y2          % predefined literal; '012...9'
h            % concatenate into string 'ABC...Z012...9'
G            % push input string
5Ie          % reshape into 5x3 matrix, column-major order
P            % flip vertically
tk=~         % 1 if uppercase, 0 if lowercase
!XB1+        % convert each column to binary number and add 1
)            % index 'ABC...Z012...9' with resulting numbers
h            % concatenate result with original string

MATL, 24 bytes

j1Y24Y2hG5IePtk=~!XB1+)h

Uses current version (9.1.0) of the language/compiler.

Examples

>> matl
 > j1Y24Y2hG5IePtk=~!XB1+)h
 >
> a0RE000000IJmcN
a0RE000000IJmcNMAT

>> matl
 > j1Y24Y2hG5IePtk=~!XB1+)h
 >
> a01M00000062mPg
a01M00000062mPgIAI

Explanation

j            % input string
1Y2          % predefined literal: 'ABC...Z'
4Y2          % predefined literal; '012...9'
h            % concatenate into string 'ABC...Z012...9'
G            % push input string
5Ie          % reshape into 5x3 matrix, column-major order
P            % flip vertically
tk=~         % 1 if uppercase, 0 if lowercase
!XB1+        % convert each column to binary number and add 1
)            % index 'ABC...Z012...9' with resulting numbers
h            % concatenate result with original string