## How to find the smallest number excluding zeros

Column B contains numbers, the formula in cell D3 calculates the smallest value excluding zeros. Note that all numbers are either 0 (zero) or larger.

Formula in cell D3:

The MINIFS function appeared first in Excel 2016 and is a fairly new function. Here is the Excel function syntax:

MINIFS(*min_range*,Â *criteria_range1*,Â *criteria1*, [*criteria_range2*,Â *criteria2*], ...)

We only have one condition so the function syntax becomes:

MINIFS(*min_range*,Â *criteria_range*,Â *criteria*)

The *min_range* argument points to the cells containing the numbers B3:B14.

TheÂ *criteria_rangeÂ *is the cell range to be evaluated B3:B14.

*criteria* isÂ the condition,Â "<>0". <> means not equal to.

If cell in B3:B14Â is not equal to 0 (zero) then return cell in B3:B14Â and lastly find the smallest value.

Use the following array formula if you don't have access to the MINIFS function.

To enter an array formula, type the formula in a cell then press and hold CTRL + SHIFT simultaneously, now press Enter once. Release all keys.

The formula bar now shows the formula with aÂ beginning and ending curly bracket telling you that you entered the formula successfully. Don't enter the curly brackets yourself.

### Explaining formula in cell D3

#### Step 1 - Build logical expression

The IF function requires a logical expression in the first argument in order to return a given value when the logical expression evaluates to TRUE and another value when FALSE.

becomes

{100; 50; 40; 0; 60; 35; 190; 80; 120; 165; 0; 20}<>0

and returns

{TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE}.

I have entered the array in column A, note that boolean value FALSEÂ corresponds to cells containing 0 (zero).

#### Step 2 - Filter values in array

The picture shows the array calculated by the IF function, each 0 (zero) is replaced with boolean value FALSE.

becomes

IF({TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE}, B3:B14)

becomes

IF({TRUE; TRUE; TRUE; FALSE; TRUE; TRUE; TRUE; TRUE; TRUE; TRUE; FALSE; TRUE}, {100; 50; 40; 0; 60; 35; 190; 80; 120; 165; 0; 20})

and returns

{100; 50; 40; FALSE; 60; 35; 190; 80; 120; 165; FALSE; 20}

#### Step 3 - Find smallest value

The MIN function ignores text, blank and boolean values.

MIN(IF(B3:B14<>0,B3:B14))

becomes

MIN({100; 50; 40; FALSE; 60; 35; 190; 80; 120; 165; FALSE; 20})

and returns 20 in cell D3.

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