# Translate letters to numbers

To translate letters in a string to numbers, you can use an array formula based on the TEXTJOIN and VLOOKUP functions, with a defined translation table to provide the necessary lookups. In the example shown, the formula in C5 is:

where "xtable" is the named range E5:F10.

*Note: this is an array formula and must be entered with control + shift + enter.*

### How this formula works

At the core, this formula uses an array operation to generate an array of letters from the input text, translates each letter individually to a number, then joins all numbers together again and returns the output as a string.

To parse the input string into an array or letters, we use MID, ROW, LEN and INDIRECT functions like this:

LEN returns the length of the input text, which is concatenated to "1:" and handed off to INDIRECT as text. INDIRECT evaluates the text as a row reference, and the ROW function returns an array of numbers to MID:

MID(B5,{1;2;3},1)

MID then extracts one character for at each starting position and we have:

Essentially, we are asking VLOOKUP to find a match for "a", "b", and "c" at the same time. For obscure reasons, we need to "dereference" this array in a particular way using both the T and IF functions. After VLOOKUP runs, we have:

=TEXTJOIN("",1,{9;4;6})

and TEXTJOIN returns the string "946".

### Output a number

To output a number as final result (instead of a string), add zero. The math operation will coerce the string into a number.

### Sum numbers

To sum the numbers together instead of listing them, you can replace TEXTJOIN with SUM like this:

*Note: the TEXTJOIN function was introduced via the Office 365 subscription program in 2018. *

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