## Count groups of repeated values per row

I have a worksheet that has rows, each containing sequential groupings of values of "1" and "0". These alternate across 1800 columns of data.

My question: how do I count the number of groupings of each? In other words, across those 1800 columns, how many arrays of value 1 and how many arrays of value 0 do I have?

Thanks.

Joe

**Answer:**

I am using a much smaller size to more easily show how the formulas work and what the functions used return.

There are 14 groups of value 0 (zero) per row in cell range B2:G8 and 12 groups of value 1. The image above shows 14 blue circles around each group of value 0 to demonstrate how the formula below works.

Regular formula in cell B11:

Array formula in cell C11:

This formula is different because Excel evaluates a blank cell as 0 (zero), this makes it impossible to use the same formula as in cell B11.

#### How to create an array formula

- Copy formula above.
- Select cell C11 with mouse.
- Paste formula (keyboard shortcut CTRL + v)
- Press and hold CTRL + SHIFT simultaneously.
- Press Enter once
- Release all keys.

### Explaining array formula in cell C11

The formula in cell C11 is slightly more complicated than the formula in cell B11, they are however so similar that I will only explain the formula in cell C11.

#### Step 1 - Check if cell is blank

The ISBLANK function returns TRUE if the cell is blank and FALSE if not blank, no surprises here.

ISBLANK(A2:F8)

becomes

ISBLANK({0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1})

and returns

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

#### Step 2 - If blank return a blank

The IF function returns a blank if the logical expression ISBLANK(A2:F8) returns TRUE and returns the number itself if FALSE.

IF(ISBLANK(A2:F8),"",A2:F8)

becomes

IF({TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE},"",A2:F8)

becomes

IF({TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE; TRUE, FALSE, FALSE, FALSE, FALSE, FALSE}, "", {0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1})

and returns

{"",1,1,1,1,0;"",0,1,0,0,1;"",0,1,0,0,0;"",0,1,1,0,1;"",0,0,0,1,0;"",0,1,0,0,1;"",1,1,1,1,1}

These two steps are necessary due to Excel not being able to compare a 0 (zero) with an empty cell. Excel evaluates an empty cell as 0 (zero).

#### Step 3 - Compare arrays

This step compares values in order to identify groups of repeated values.

(B2:G8<>IF(ISBLANK(A2:F8),"",A2:F8))

becomes

(B2:G8<>{"",1,1,1,1,0;"",0,1,0,0,1;"",0,1,0,0,0;"",0,1,1,0,1;"",0,0,0,1,0;"",0,1,0,0,1;"",1,1,1,1,1})

becomes

({0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1}<>{"",1,1,1,1,0;"",0,1,0,0,1;"",0,1,0,0,0;"",0,1,1,0,1;"",0,0,0,1,0;"",0,1,0,0,1;"",1,1,1,1,1})

and returns

{TRUE, FALSE, FALSE, FALSE, TRUE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, FALSE, TRUE; TRUE, TRUE, FALSE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, FALSE, FALSE, FALSE, FALSE, TRUE}

#### Step 4 - Check if cell is 0 (zero)

This step filters groups of zeros, we don't want to count 1's.

B2:G8=0

becomes

{0, 1, 1, 1, 1, 0; 0, 0, 1, 0, 0, 1; 0, 0, 1, 0, 0, 0; 0, 0, 1, 1, 0, 1; 0, 0, 0, 0, 1, 0; 0, 0, 1, 0, 0, 1; 0, 1, 1, 1, 1, 1}=0

and returns

{FALSE, FALSE, FALSE, FALSE, TRUE, TRUE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; TRUE, FALSE, TRUE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, FALSE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, FALSE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; FALSE, FALSE, FALSE, FALSE, FALSE, TRUE}

#### Step 5 - Multiply arrays

(B2:G8<>IF(ISBLANK(A2:F8),"",A2:F8))*(B2:G8=0)

becomes

{TRUE, FALSE, FALSE, FALSE, TRUE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, FALSE, TRUE; TRUE, TRUE, FALSE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, TRUE, TRUE; TRUE, TRUE, TRUE, FALSE, TRUE, TRUE; TRUE, FALSE, FALSE, FALSE, FALSE, TRUE}*{FALSE, FALSE, FALSE, FALSE, TRUE, TRUE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; TRUE, FALSE, TRUE, TRUE, TRUE, FALSE; TRUE, FALSE, FALSE, TRUE, FALSE, FALSE; TRUE, TRUE, TRUE, FALSE, TRUE, FALSE; TRUE, FALSE, TRUE, TRUE, FALSE, TRUE; FALSE, FALSE, FALSE, FALSE, FALSE, TRUE}

and returns

{0, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 1, 0, 1, 0, 0, 0; 1, 0, 0, 1, 0, 0; 1, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 0, 0, 0, 0, 0, 1}.

#### Step 6 - Sum values

The SUM function adds the numbers in the array and returns a total.

SUM((B2:G8<>IF(ISBLANK(A2:F8),"",A2:F8))*(B2:G8=0))

becomes

SUM({0, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 1, 0, 1, 0, 0, 0; 1, 0, 0, 1, 0, 0; 1, 0, 0, 0, 1, 0; 1, 0, 1, 0, 0, 1; 0, 0, 0, 0, 0, 1})

and returns 14 in cell C11.

Count unique distinct values that meet multiple criteria

This post demonstrates how to build an array formula that counts unique distinct values based on criteria. What's on this […]

Count Conditionally Formatted cells

This article explains how to count cells highlighted with Conditional Formatting (CF). The image above shows data in cell range […]

This article describes how to count unique distinct values. What are unique distinct values? They are all values but duplicates are […]

Count cells between specified values

This article demonstrates formulas that calculate the number of cells between two values, the first scenario involves two search values […]

Count unique distinct values in two columns

Formula in C12: =SUM(1/COUNTIF($B$3:$B$8, $B$3:$B$8))+SUM(IF(COUNTIF($B$3:$B$8, $D$3:$D$8)=0, 1/COUNTIF($D$3:$D$8, $D$3:$D$8), 0)) How to create an array formula Double click on cell C12 […]

Count unique distinct values in a filtered Excel defined Table

This article demonstrates a formula that counts unique distinct values filtered from an Excel defined Table. Debra Dalgleish described in […]

How to count unique distinct values based on a date

The array formula in cell D3 calculates the number of unique distinct items based on the given date in column B. […]

Count unique distinct values within same week, month or year

The array formula in cell E3 counts unique distinct items for all dates within the same week. Example, week 2 […]

This article demonstrates formulas that count values in cell based on a delimiting character. The image above shows a formula […]

Count unique distinct values based on a condition

The following article demonstrates how to construct a formula that counts unique distinct values based on a condition. The image […]

### One Response to “Count groups of repeated values per row”

### Leave a Reply

### How to comment

**How to add a formula to your comment**

<code>Insert your formula here.</code>

**Convert less than and larger than signs**

Use html character entities instead of less than and larger than signs.

< becomes < and > becomes >

**How to add VBA code to your comment**

[vb 1="vbnet" language=","]

Put your VBA code here.

[/vb]

**How to add a picture to your comment:**

Upload picture to postimage.org or imgur

Paste image link to your comment.

**Contact Oscar**

You can contact me through this contact form

That works!! Great Stuff!

Thanks Oscar!