Infix to Postfix Conversion Example...

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Infix to Postfix Conversion Example 1 3+4*5/6

Transcript of Infix to Postfix Conversion Example...

Page 1: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

Page 2: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack:

• Output:

Page 3: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack:

• Output: 3

Page 4: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: +

• Output: 3

Page 5: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: +

• Output: 3 4

Page 6: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: + *

• Output: 3 4

Page 7: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: + *

• Output: 3 4 5

Page 8: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: +

• Output: 3 4 5 *

Page 9: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: + /

• Output: 3 4 5 *

Page 10: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: + /

• Output: 3 4 5 * 6

Page 11: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack: +

• Output: 3 4 5 * 6 /

Page 12: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 1

• 3+4*5/6

• Stack:

• Output: 3 4 5 * 6 / +

• Done!

Page 13: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

Page 14: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack:

• Output:

Page 15: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: (

• Output:

Page 16: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: (

• Output: 300

Page 17: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: ( +

• Output: 300

Page 18: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: ( +

• Output: 300 23

Page 19: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: (

• Output: 300 23 +

Page 20: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack:

• Output: 300 23 +

Page 21: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: *

• Output: 300 23 +

Page 22: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: * (

• Output: 300 23 +

Page 23: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: * (

• Output: 300 23 + 43

Page 24: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: * ( -

• Output: 300 23 + 43

Page 25: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: * ( -

• Output: 300 23 + 43 21

Page 26: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: * (

• Output: 300 23 + 43 21 -

Page 27: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: *

• Output: 300 23 + 43 21 -

Page 28: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack:

• Output: 300 23 + 43 21 - *

Page 29: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: /

• Output: 300 23 + 43 21 - *

Page 30: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: / (

• Output: 300 23 + 43 21 - *

Page 31: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: / (

• Output: 300 23 + 43 21 - * 84

Page 32: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: / ( +

• Output: 300 23 + 43 21 - * 84

Page 33: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: / ( +

• Output: 300 23 + 43 21 - * 84 7

Page 34: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: / (

• Output: 300 23 + 43 21 - * 84 7 +

Page 35: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack: /

• Output: 300 23 + 43 21 - * 84 7 +

Page 36: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 2

• (300+23)*(43-21)/(84+7)

• Stack:

• Output: 300 23 + 43 21 - * 84 7 + /

• Done!

Page 37: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

Page 38: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack:

• Output:

Page 39: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: (

• Output:

Page 40: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: (

• Output: 4

Page 41: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: ( +

• Output: 4

Page 42: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: ( +

• Output: 4 8

Page 43: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: (

• Output: 4 8 +

Page 44: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack:

• Output: 4 8 +

Page 45: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: *

• Output: 4 8 +

Page 46: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: * (

• Output: 4 8 +

Page 47: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: * (

• Output: 4 8 + 6

Page 48: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: * ( -

• Output: 4 8 + 6

Page 49: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: * ( -

• Output: 4 8 + 6 5

Page 50: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: * (

• Output: 4 8 + 6 5 -

Page 51: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: *

• Output: 4 8 + 6 5 -

Page 52: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack:

• Output: 4 8 + 6 5 - *

Page 53: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: /

• Output: 4 8 + 6 5 - *

Page 54: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / (

• Output: 4 8 + 6 5 - *

Page 55: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( (

• Output: 4 8 + 6 5 - *

Page 56: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( (

• Output: 4 8 + 6 5 - * 3

Page 57: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( ( -

• Output: 4 8 + 6 5 - * 3

Page 58: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( ( -

• Output: 4 8 + 6 5 - * 3 2

Page 59: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( (

• Output: 4 8 + 6 5 - * 3 2 -

Page 60: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / (

• Output: 4 8 + 6 5 - * 3 2 -

Page 61: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( *

• Output: 4 8 + 6 5 - * 3 2 -

Page 62: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( * (

• Output: 4 8 + 6 5 - * 3 2 -

Page 63: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( * (

• Output: 4 8 + 6 5 - * 3 2 - 2

Page 64: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( * ( +

• Output: 4 8 + 6 5 - * 3 2 - 2

Page 65: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( * ( +

• Output: 4 8 + 6 5 - * 3 2 – 2 2

Page 66: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( * (

• Output: 4 8 + 6 5 - * 3 2 – 2 2 +

Page 67: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / ( *

• Output: 4 8 + 6 5 - * 3 2 – 2 2 +

Page 68: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: / (

• Output: 4 8 + 6 5 - * 3 2 – 2 2 + *

Page 69: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack: /

• Output: 4 8 + 6 5 - * 3 2 – 2 2 + *

Page 70: Infix to Postfix Conversion Example 1faculty.chemeketa.edu/.../Lectures/Week05/InfixToPostfixExamples.pdf · Infix to Postfix Conversion Example 2 • (300+23)*(43-21)/(84+7) •

Infix to Postfix ConversionExample 3

• (4+8)*(6-5)/((3-2)*(2+2))

• Stack:

• Output: 4 8 + 6 5 - * 3 2 – 2 2 + * /

• Done!