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Chapter 4
Applying Logic in Decision
Making
Chapter Introduction

• Tools that allow comparison of data as well as
  analysis of sets of data using multiple criteria
• Boolean logical values (TRUE and FALSE)
• Boolean logical functions (AND, OR, and NOT)
• Specifying different cell formats based on
  whether a set of criteria is met
• Application of different outcomes to results of
  logical tests that are TRUE versus those that
  are FALSE
Succeeding in Business with Microsoft Excel 2010      2
Chapter Introduction (continued)

• Functions covered in this chapter:
  AND, IF, NOT, OR

To go to Level 1, click here
To go to Level 2, click here
To go to Level 3, click here



Succeeding in Business with Microsoft Excel 2010   3
Functions Covered in this Chapter

•    AND
•    IF
•    NOT
•    OR




Succeeding in Business with Microsoft Excel 2010   4
Level 1 Objectives:
Analyzing Data Using Relational Operators & Boolean Logical
                         Functions

• Understand the Boolean logical values TRUE
  and FALSE
• Build formulas with relational operators
• Evaluate criteria using the Boolean logical
  functions AND, OR, and NOT
• Apply conditional formatting to highlight key
  information in a worksheet


Succeeding in Business with Microsoft Excel 2010          5
Reviewing Financial Criteria Related to Credit

• Dun & Bradstreet® (D&B)
       – Widely used financial reporting services
       – Provides financial information about corporations
         and institutions and extensive analyses on each
         company’s creditworthiness and payment history
         (PAYDEX® index)
• Create formulas by applying several credit
  approval indicator rules to each customer’s
  data
Succeeding in Business with Microsoft Excel 2010   Level 1 home   6
Sample Worksheet




                                                   D&B data includes credit
                                                   rating class, PAYDEX
                                                   score, and stress risk
                                                   class.




Succeeding in Business with Microsoft Excel 2010         Level 1 home         7
Using Relational Operators to Compare Two
                       Values
• To determine if the relational expression is
  TRUE or FALSE
• Can be used to compare
       – Two values
       – Text labels
       – Dates




Succeeding in Business with Microsoft Excel 2010   Level 1 home   8
Using Relational Operators




Succeeding in Business with Microsoft Excel 2010   Level 1 home   9
Using Relational Operators




Succeeding in Business with Microsoft Excel 2010   Level 1 home   10
Using Boolean Logical Functions to Evaluate a List of
   Values and Determine a Single True or False Value

AND                Used to determine if all arguments are TRUE


OR                 Used to determine if either argument is TRUE

NOT                Evaluates only one logical argument to determine
                   if it is FALSE




Succeeding in Business with Microsoft Excel 2010    Level 1 home   11
Outcomes for the AND Function Using Two
                       Inputs




Succeeding in Business with Microsoft Excel 2010   Level 1 home   12
Outcomes for the OR Function Using Two
                        Inputs




Succeeding in Business with Microsoft Excel 2010   Level 1 home   13
Outcomes of the NOT Function (Single Input)




Succeeding in Business with Microsoft Excel 2010   Level 1 home   14
Using the OR Function
                                  to Evaluate Criteria
• OR (logical1,logical2,….)
• Returns a value of TRUE if either criteria is met
• Returns a value of FALSE only if all arguments
  in the function are FALSE




Succeeding in Business with Microsoft Excel 2010         Level 1 home   15
Using the OR Function




Succeeding in Business with Microsoft Excel 2010   Level 1 home   16
Using the AND Function
                                    to Evaluate Criteria

• AND (logical1,logical2,…)
• Returns a value of TRUE only if all arguments
  in the function are TRUE




Succeeding in Business with Microsoft Excel 2010           Level 1 home   17
Using the AND Function




Succeeding in Business with Microsoft Excel 2010   Level 1 home   18
Using the AND Function




Succeeding in Business with Microsoft Excel 2010   Level 1 home   19
Using the NOT Function
                                 to Evaluate Criteria
• NOT (logical1)
• Takes only one argument and changes a single
  TRUE value to FALSE or vice versa
       – NOT(TRUE) returns the value of FALSE
       – NOT(FALSE) returns the value of TRUE




Succeeding in Business with Microsoft Excel 2010    Level 1 home   20
Using the NOT Function




Succeeding in Business with Microsoft Excel 2010    Level 1 home   21
Applying Conditional Formatting to a
                          Worksheet
• Identifies a set of conditions and specifies
  formatting of a cell if those conditions are met
• Criteria can be specified based on:
       – Value in the cell being formatted
       – Results of a specified formula that returns a
         Boolean value




Succeeding in Business with Microsoft Excel 2010   Level 1 home   22
Applying Conditional Formatting Based on Cell
                    Value
• Select cell or cell range to be formatted
• Click Conditional Formatting button arrow in
  Styles group on Home tab
• Select Data Bars, Color Scales, or Icon Sets
  from the menu to open a gallery of options
• Point to a format to preview it in the selected
  cells, and click the desired format to apply it


Succeeding in Business with Microsoft Excel 2010   Level 1 home   23
Applying Conditional Formatting Based on Cell
                    Value




Succeeding in Business with Microsoft Excel 2010   Level 1 home   24
Conditional Formatting
                                Based on Cell Value




Succeeding in Business with Microsoft Excel 2010    Level 1 home   25
Conditional Formatting
                                Based on Cell Value




Succeeding in Business with Microsoft Excel 2010        26
Conditional Formatting
                                Based on Cell Value




Succeeding in Business with Microsoft Excel 2010    Level 1 home   27
Applying Conditional Formatting Based on the
              Results of a Formula
• Highlight a single row as the range
• Specify two separate conditions based on two
  different formulas




Succeeding in Business with Microsoft Excel 2010   Level 1 home   28
Conditional Formatting Based on the Results of
                 a Formula




Succeeding in Business with Microsoft Excel 2010   Level 1 home   29
Conditional Formatting Based on the Results of
                 a Formula




Succeeding in Business with Microsoft Excel 2010   Level 1 home   30
Level 1 Summary

• Tools that allow you to evaluate and compare
  both text and numeric data
       – Relational operators (>,<,>=, <=, =, <>)
       – Boolean logical functions (AND, OR, and NOT)
• Both relational operators and Boolean
  functions return a Boolean logical value, TRUE
  or FALSE
• Using the Conditional Formatting tool

Succeeding in Business with Microsoft Excel 2010        31
Level 2 Objectives:
          Analyzing Data Using IF Functions and Nested
                           Functions
• Understand how to build formulas with nested
  functions
• Write IF functions to evaluate TRUE/FALSE
  values and perform calculations
• Nest functions within an IF statement
• Construct a simple nested IF function



Succeeding in Business with Microsoft Excel 2010         32
Introduction to IF Functions and Nested
                         Functions
• IF function
       – Boolean logical function that returns different values
         (TRUE or FALSE) depending on how the specified condition
         evaluates
       – =IF(logical_test,value_if_true,value_if_false)
• Nested function (permitted by IF function)
       – Contains additional formulas and/or functions as one or
         more of its arguments
• Provides flexibility of choosing between two different
  sets of criteria, and up to seven different levels of
  logical tests


Succeeding in Business with Microsoft Excel 2010   Level 2 home    33
Writing an IF Function with a Logical Test That
          Evaluates TRUE/FALSE Values




Succeeding in Business with Microsoft Excel 2010   Level 2 home   34
Writing an IF Function with a Logical Test That
                 Performs a Simple Calculation




Succeeding in Business with Microsoft Excel 2010   Level 2 home   35
Writing an IF Function with a Logical Test That
                 Performs a Simple Calculation




Succeeding in Business with Microsoft Excel 2010   Level 2 home   36
Writing IF Functions
                                with Nested Functions




Succeeding in Business with Microsoft Excel 2010        Level 2 home   37
Constructing
                         a Simple Nested IF Function




 Nesting IF functions, one inside the other, allows
 you to ask a question, then another question
 depending on the outcome of the first question,
 and so on

Succeeding in Business with Microsoft Excel 2010      Level 2 home   38
Constructing
                         a Simple Nested IF Function




Succeeding in Business with Microsoft Excel 2010   Level 2 home   39
Constructing
                         a Simple Nested IF Function
• An IF function can be used to evaluate a
  logical test.
• However, if the logical test results in a FALSE
  value, another calculation is needed.




Succeeding in Business with Microsoft Excel 2010   Level 2 home   40
Constructing
                         a Simple Nested IF Function




Succeeding in Business with Microsoft Excel 2010   Level 2 home   41
Order of Logical Tests

• Must match established criteria for non-
  mutually exclusive criteria
• Can be placed in any order for mutually
  exclusive criteria
• Using a specific order can save considerable
  amount of work for criteria between a range
  of values


Succeeding in Business with Microsoft Excel 2010   Level 2 home   42
Order of Logical Tests

• Order of logical tests for non-mutually
  exclusive criteria
• Order of logical tests for mutually exclusive
  criteria
• Order of logical tests for criteria between a
  range of values



Succeeding in Business with Microsoft Excel 2010   Level 2 home   43
Level 2 Summary

• Applying Boolean logic within an IF statement
• IF function allows you to determine if an
  expression is TRUE or FALSE, and to return a
  value other than TRUE or FALSE (e.g., text or
  numeric values)
• Additional IF statements and other Excel
  functions can be nested within an IF function


Succeeding in Business with Microsoft Excel 2010       44
Level 3 Objectives:
        Creating Complex Logical Constructs for Solving
                          Problems
• Combine sets of criteria in an IF function
• Create a none of construct to perform a logical
  test
• Create an only construct to perform a logical
  test
• Solve more complex problems using nested IFs
  and Boolean logical functions


Succeeding in Business with Microsoft Excel 2010          45
Evaluating More Complex Criteria

• Techniques to create more complex logical
  constructs (combinations of multiple logical
  operations) to determine if none of the
  criteria are TRUE for a list of items, even if
  only certain criteria are TRUE for a list of items
• By nesting levels of IF functions, multiple sets
  of criteria can be sequentially analyzed until a
  final value is returned

Succeeding in Business with Microsoft Excel 2010   Level 3 home   46
Using an IF Function to Combine Sets of Criteria

• Reject
• Further Evaluate
• Accept




Succeeding in Business with Microsoft Excel 2010   Level 3 home   47
Using an IF Function to Combine Sets of Criteria




Succeeding in Business with Microsoft Excel 2010   Level 3 home   48
Using an IF Function to Combine Sets of Criteria




Succeeding in Business with Microsoft Excel 2010   Level 3 home   49
Using the None Of Construct

• Evaluates if none of the rules are met
• Combines two steps into one by nesting the
  formula
• Example: =NOT(OR(K3:K21))




Succeeding in Business with Microsoft Excel 2010   Level 3 home   50
Using the None Of Construct




Succeeding in Business with Microsoft Excel 2010   Level 3 home   51
Using the Only Construct

• Determines if only Rule #1 evaluates to
  TRUE, and, if so, to recommend further
  evaluation; OR if only
  Rule #2 and/or Rule #3 evaluates to TRUE and not
  Rule #1
• Always has a positive condition to be evaluated
  AND a negative condition to be evaluated
       – An OR function is required for either the positive
         condition or the negative condition if more than one
         item being evaluated falls in that category

Succeeding in Business with Microsoft Excel 2010   Level 3 home   52
Using the Only Construct




Succeeding in Business with Microsoft Excel 2010   Level 3 home   53
Using the Only Construct




Succeeding in Business with Microsoft Excel 2010   Level 3 home   54
Nesting Boolean Logical Operators to Analyze
                     Criteria




                                                   Evaluate all parts of the
                                                   Further Evaluate criteria


Succeeding in Business with Microsoft Excel 2010             Level 3 home      55
Completing the Complex
                               Nested IF Formula




Succeeding in Business with Microsoft Excel 2010   Level 3 home   56
Completing the Complex
                               Nested IF Formula




Succeeding in Business with Microsoft Excel 2010   Level 3 home   57
Level 3 Summary

• More complex logical constructs
       – “None of” construct
       – “Only” construct
• Combining constructs to solve more complex
  logical tasks, nesting IF functions, relational
  operators, and Boolean functions within the
  same formula


Succeeding in Business with Microsoft Excel 2010       58
Chapter Summary

• Relational operators (>, <, >=, <=, =, <>) and
  the Boolean logical functions AND, OR, and
  NOT allow you to evaluate and compare both
  text and numeric data.
• Applying Boolean logic with an IF statement
       – TRUE/FALSE
• Complex logical constructs
       – None of
       – Only

Succeeding in Business with Microsoft Excel 2010     59
Chapter Summary




Succeeding in Business with Microsoft Excel 2010     60

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Chapter.04

  • 1. Chapter 4 Applying Logic in Decision Making
  • 2. Chapter Introduction • Tools that allow comparison of data as well as analysis of sets of data using multiple criteria • Boolean logical values (TRUE and FALSE) • Boolean logical functions (AND, OR, and NOT) • Specifying different cell formats based on whether a set of criteria is met • Application of different outcomes to results of logical tests that are TRUE versus those that are FALSE Succeeding in Business with Microsoft Excel 2010 2
  • 3. Chapter Introduction (continued) • Functions covered in this chapter: AND, IF, NOT, OR To go to Level 1, click here To go to Level 2, click here To go to Level 3, click here Succeeding in Business with Microsoft Excel 2010 3
  • 4. Functions Covered in this Chapter • AND • IF • NOT • OR Succeeding in Business with Microsoft Excel 2010 4
  • 5. Level 1 Objectives: Analyzing Data Using Relational Operators & Boolean Logical Functions • Understand the Boolean logical values TRUE and FALSE • Build formulas with relational operators • Evaluate criteria using the Boolean logical functions AND, OR, and NOT • Apply conditional formatting to highlight key information in a worksheet Succeeding in Business with Microsoft Excel 2010 5
  • 6. Reviewing Financial Criteria Related to Credit • Dun & Bradstreet® (D&B) – Widely used financial reporting services – Provides financial information about corporations and institutions and extensive analyses on each company’s creditworthiness and payment history (PAYDEX® index) • Create formulas by applying several credit approval indicator rules to each customer’s data Succeeding in Business with Microsoft Excel 2010 Level 1 home 6
  • 7. Sample Worksheet D&B data includes credit rating class, PAYDEX score, and stress risk class. Succeeding in Business with Microsoft Excel 2010 Level 1 home 7
  • 8. Using Relational Operators to Compare Two Values • To determine if the relational expression is TRUE or FALSE • Can be used to compare – Two values – Text labels – Dates Succeeding in Business with Microsoft Excel 2010 Level 1 home 8
  • 9. Using Relational Operators Succeeding in Business with Microsoft Excel 2010 Level 1 home 9
  • 10. Using Relational Operators Succeeding in Business with Microsoft Excel 2010 Level 1 home 10
  • 11. Using Boolean Logical Functions to Evaluate a List of Values and Determine a Single True or False Value AND Used to determine if all arguments are TRUE OR Used to determine if either argument is TRUE NOT Evaluates only one logical argument to determine if it is FALSE Succeeding in Business with Microsoft Excel 2010 Level 1 home 11
  • 12. Outcomes for the AND Function Using Two Inputs Succeeding in Business with Microsoft Excel 2010 Level 1 home 12
  • 13. Outcomes for the OR Function Using Two Inputs Succeeding in Business with Microsoft Excel 2010 Level 1 home 13
  • 14. Outcomes of the NOT Function (Single Input) Succeeding in Business with Microsoft Excel 2010 Level 1 home 14
  • 15. Using the OR Function to Evaluate Criteria • OR (logical1,logical2,….) • Returns a value of TRUE if either criteria is met • Returns a value of FALSE only if all arguments in the function are FALSE Succeeding in Business with Microsoft Excel 2010 Level 1 home 15
  • 16. Using the OR Function Succeeding in Business with Microsoft Excel 2010 Level 1 home 16
  • 17. Using the AND Function to Evaluate Criteria • AND (logical1,logical2,…) • Returns a value of TRUE only if all arguments in the function are TRUE Succeeding in Business with Microsoft Excel 2010 Level 1 home 17
  • 18. Using the AND Function Succeeding in Business with Microsoft Excel 2010 Level 1 home 18
  • 19. Using the AND Function Succeeding in Business with Microsoft Excel 2010 Level 1 home 19
  • 20. Using the NOT Function to Evaluate Criteria • NOT (logical1) • Takes only one argument and changes a single TRUE value to FALSE or vice versa – NOT(TRUE) returns the value of FALSE – NOT(FALSE) returns the value of TRUE Succeeding in Business with Microsoft Excel 2010 Level 1 home 20
  • 21. Using the NOT Function Succeeding in Business with Microsoft Excel 2010 Level 1 home 21
  • 22. Applying Conditional Formatting to a Worksheet • Identifies a set of conditions and specifies formatting of a cell if those conditions are met • Criteria can be specified based on: – Value in the cell being formatted – Results of a specified formula that returns a Boolean value Succeeding in Business with Microsoft Excel 2010 Level 1 home 22
  • 23. Applying Conditional Formatting Based on Cell Value • Select cell or cell range to be formatted • Click Conditional Formatting button arrow in Styles group on Home tab • Select Data Bars, Color Scales, or Icon Sets from the menu to open a gallery of options • Point to a format to preview it in the selected cells, and click the desired format to apply it Succeeding in Business with Microsoft Excel 2010 Level 1 home 23
  • 24. Applying Conditional Formatting Based on Cell Value Succeeding in Business with Microsoft Excel 2010 Level 1 home 24
  • 25. Conditional Formatting Based on Cell Value Succeeding in Business with Microsoft Excel 2010 Level 1 home 25
  • 26. Conditional Formatting Based on Cell Value Succeeding in Business with Microsoft Excel 2010 26
  • 27. Conditional Formatting Based on Cell Value Succeeding in Business with Microsoft Excel 2010 Level 1 home 27
  • 28. Applying Conditional Formatting Based on the Results of a Formula • Highlight a single row as the range • Specify two separate conditions based on two different formulas Succeeding in Business with Microsoft Excel 2010 Level 1 home 28
  • 29. Conditional Formatting Based on the Results of a Formula Succeeding in Business with Microsoft Excel 2010 Level 1 home 29
  • 30. Conditional Formatting Based on the Results of a Formula Succeeding in Business with Microsoft Excel 2010 Level 1 home 30
  • 31. Level 1 Summary • Tools that allow you to evaluate and compare both text and numeric data – Relational operators (>,<,>=, <=, =, <>) – Boolean logical functions (AND, OR, and NOT) • Both relational operators and Boolean functions return a Boolean logical value, TRUE or FALSE • Using the Conditional Formatting tool Succeeding in Business with Microsoft Excel 2010 31
  • 32. Level 2 Objectives: Analyzing Data Using IF Functions and Nested Functions • Understand how to build formulas with nested functions • Write IF functions to evaluate TRUE/FALSE values and perform calculations • Nest functions within an IF statement • Construct a simple nested IF function Succeeding in Business with Microsoft Excel 2010 32
  • 33. Introduction to IF Functions and Nested Functions • IF function – Boolean logical function that returns different values (TRUE or FALSE) depending on how the specified condition evaluates – =IF(logical_test,value_if_true,value_if_false) • Nested function (permitted by IF function) – Contains additional formulas and/or functions as one or more of its arguments • Provides flexibility of choosing between two different sets of criteria, and up to seven different levels of logical tests Succeeding in Business with Microsoft Excel 2010 Level 2 home 33
  • 34. Writing an IF Function with a Logical Test That Evaluates TRUE/FALSE Values Succeeding in Business with Microsoft Excel 2010 Level 2 home 34
  • 35. Writing an IF Function with a Logical Test That Performs a Simple Calculation Succeeding in Business with Microsoft Excel 2010 Level 2 home 35
  • 36. Writing an IF Function with a Logical Test That Performs a Simple Calculation Succeeding in Business with Microsoft Excel 2010 Level 2 home 36
  • 37. Writing IF Functions with Nested Functions Succeeding in Business with Microsoft Excel 2010 Level 2 home 37
  • 38. Constructing a Simple Nested IF Function Nesting IF functions, one inside the other, allows you to ask a question, then another question depending on the outcome of the first question, and so on Succeeding in Business with Microsoft Excel 2010 Level 2 home 38
  • 39. Constructing a Simple Nested IF Function Succeeding in Business with Microsoft Excel 2010 Level 2 home 39
  • 40. Constructing a Simple Nested IF Function • An IF function can be used to evaluate a logical test. • However, if the logical test results in a FALSE value, another calculation is needed. Succeeding in Business with Microsoft Excel 2010 Level 2 home 40
  • 41. Constructing a Simple Nested IF Function Succeeding in Business with Microsoft Excel 2010 Level 2 home 41
  • 42. Order of Logical Tests • Must match established criteria for non- mutually exclusive criteria • Can be placed in any order for mutually exclusive criteria • Using a specific order can save considerable amount of work for criteria between a range of values Succeeding in Business with Microsoft Excel 2010 Level 2 home 42
  • 43. Order of Logical Tests • Order of logical tests for non-mutually exclusive criteria • Order of logical tests for mutually exclusive criteria • Order of logical tests for criteria between a range of values Succeeding in Business with Microsoft Excel 2010 Level 2 home 43
  • 44. Level 2 Summary • Applying Boolean logic within an IF statement • IF function allows you to determine if an expression is TRUE or FALSE, and to return a value other than TRUE or FALSE (e.g., text or numeric values) • Additional IF statements and other Excel functions can be nested within an IF function Succeeding in Business with Microsoft Excel 2010 44
  • 45. Level 3 Objectives: Creating Complex Logical Constructs for Solving Problems • Combine sets of criteria in an IF function • Create a none of construct to perform a logical test • Create an only construct to perform a logical test • Solve more complex problems using nested IFs and Boolean logical functions Succeeding in Business with Microsoft Excel 2010 45
  • 46. Evaluating More Complex Criteria • Techniques to create more complex logical constructs (combinations of multiple logical operations) to determine if none of the criteria are TRUE for a list of items, even if only certain criteria are TRUE for a list of items • By nesting levels of IF functions, multiple sets of criteria can be sequentially analyzed until a final value is returned Succeeding in Business with Microsoft Excel 2010 Level 3 home 46
  • 47. Using an IF Function to Combine Sets of Criteria • Reject • Further Evaluate • Accept Succeeding in Business with Microsoft Excel 2010 Level 3 home 47
  • 48. Using an IF Function to Combine Sets of Criteria Succeeding in Business with Microsoft Excel 2010 Level 3 home 48
  • 49. Using an IF Function to Combine Sets of Criteria Succeeding in Business with Microsoft Excel 2010 Level 3 home 49
  • 50. Using the None Of Construct • Evaluates if none of the rules are met • Combines two steps into one by nesting the formula • Example: =NOT(OR(K3:K21)) Succeeding in Business with Microsoft Excel 2010 Level 3 home 50
  • 51. Using the None Of Construct Succeeding in Business with Microsoft Excel 2010 Level 3 home 51
  • 52. Using the Only Construct • Determines if only Rule #1 evaluates to TRUE, and, if so, to recommend further evaluation; OR if only Rule #2 and/or Rule #3 evaluates to TRUE and not Rule #1 • Always has a positive condition to be evaluated AND a negative condition to be evaluated – An OR function is required for either the positive condition or the negative condition if more than one item being evaluated falls in that category Succeeding in Business with Microsoft Excel 2010 Level 3 home 52
  • 53. Using the Only Construct Succeeding in Business with Microsoft Excel 2010 Level 3 home 53
  • 54. Using the Only Construct Succeeding in Business with Microsoft Excel 2010 Level 3 home 54
  • 55. Nesting Boolean Logical Operators to Analyze Criteria Evaluate all parts of the Further Evaluate criteria Succeeding in Business with Microsoft Excel 2010 Level 3 home 55
  • 56. Completing the Complex Nested IF Formula Succeeding in Business with Microsoft Excel 2010 Level 3 home 56
  • 57. Completing the Complex Nested IF Formula Succeeding in Business with Microsoft Excel 2010 Level 3 home 57
  • 58. Level 3 Summary • More complex logical constructs – “None of” construct – “Only” construct • Combining constructs to solve more complex logical tasks, nesting IF functions, relational operators, and Boolean functions within the same formula Succeeding in Business with Microsoft Excel 2010 58
  • 59. Chapter Summary • Relational operators (>, <, >=, <=, =, <>) and the Boolean logical functions AND, OR, and NOT allow you to evaluate and compare both text and numeric data. • Applying Boolean logic with an IF statement – TRUE/FALSE • Complex logical constructs – None of – Only Succeeding in Business with Microsoft Excel 2010 59
  • 60. Chapter Summary Succeeding in Business with Microsoft Excel 2010 60