EE101Lecture9

# EE101Lecture9 - Introduction to Digital Logic Lecture 9...

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© Mark Redekopp, All rights reserved Gray Code • Different than normal binary ordering • Reflective code – When you add the (n+1) th bit, reflect all the previous n-bit combinations • Consecutive code words differ by only 1-bit 0 1 1 1 1 0 0 0 when you move to the next bit, reflect the previous combinations 2-bit Gray code differ by only 1-bit
© Mark Redekopp, All rights reserved Gray Code • Different than normal binary ordering • Reflective code – When you add the (n+1) th bit, reflect all the previous n-bit combinations • Consecutive code words differ by only 1-bit 0 1 1 1 1 0 0 0 when you move to the next bit, reflect the previous combinations 2-bit Gray code 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 3-bit Gray code differ by only 1-bit differ by only 1-bit differ by only 1-bit

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© Mark Redekopp, All rights reserved Karnaugh Maps 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 WX YZ 00 01 11 10 00 01 11 10 0 1 3 2 4 5 7 6 12 13 14 15 8 9 11 10 0 0 1 1 1 0 0 1 XY Z 00 01 11 10 0 1 0 1 2 3 6 7 4 5 3 Variable Karnaugh Map 4 Variable Karnaugh Map • Every square represents 1 input combination F= Σ XYZ (1,4,5,6) G= Σ WXYZ (1,2,3,5,6 ,7,9,10,11,14,15)
© Mark Redekopp, All rights reserved Karnaugh Maps 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 F Z Y X W 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 WX YZ 00 01 11 10 00 01 11 10 0

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## This note was uploaded on 02/27/2008 for the course EE 101 taught by Professor Redekopp during the Fall '06 term at USC.

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EE101Lecture9 - Introduction to Digital Logic Lecture 9...

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