lecture 4 more examples of karnaugh map. logic reduction using karnaugh map create an equivalent...

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Lecture 4 More Examples of Karnaugh Map

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Page 1: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Lecture 4

More Examples of Karnaugh Map

Page 2: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Logic Reduction Using Karnaugh Map

• Create an Equivalent Karnaugh Map• Each circle must be around a power of two

number of bits• Form the OR sum of all the terms generated

by each loop

Page 3: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Generate a Karnaugh Map

Page 4: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Karnaugh Map for 2-Variables

Page 5: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Karnaugh Map for 3-Variables

Page 6: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Karnaugh Map for 4-Variables

Page 7: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Looping

• Groups of Two• Groups of Four• Group of Eight

Page 8: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Looping Groups of Two

Page 9: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Looping Groups of Four

Page 10: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Looping Groups of Eight

Page 11: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Problem 1

Page 12: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Solution to Problem 1

Page 13: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Problem 2

Page 14: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Solution to Problem 2

Page 15: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Problem 3

Page 16: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Solution for Problem 4

Page 17: Lecture 4 More Examples of Karnaugh Map. Logic Reduction Using Karnaugh Map Create an Equivalent Karnaugh Map Each circle must be around a power of two

Two Equally Solutions