Generate a truth table in excel

excel excel-formula truthtable
Jonathan Camilleri picture Jonathan Camilleri · Dec 16, 2015 · Viewed 19.5k times · Source

I need to make a formula that gives you the truth table for a variable number of columns.

Example

sample 4-bit truth table

Answer

Jonathan Camilleri picture Jonathan Camilleri · Dec 16, 2015

Replace the FirstCell with a static reference to the cell that contains the first 2^1 value e.g. $D$1 for a 4-bit table (16 values) and autofill to the rest of the grid (in the example A1:D16)

=IF(MOD(ROW()-ROW(FirstCell),POWER(2, ((COLUMN() - COLUMN(FirstCell)) * -1) + 1)) >= (POWER(2, ((COLUMN() - COLUMN(FirstCell)) * -1) + 1) / 2),1,0)

The logic behind this is:

If the current row modulus 2 power current column (* -1 as the first value is in the last column and + 1 because it starts from 0) is greater or equal to half of 2 power current column, put the value as 1, else put the value as 0.

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