hw11_SLN - ECE 211 HW 11 SOLUTIONS p 1 of 6

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ECE 211 HW 11 SOLUTIONS p 1 of 6 //home/vdimitrov/5360/8ef68389776e6356b51027bd23861f198cda2c0f.doc HW Set 11 – SOLUTIONS 1. A digital circuit performs one of several different logic functions on its inputs A, B, C, D, E, F. The particular logic function performed depends on the values of the inputs s1, s0. The circuit has two outputs, P and Q, whose behavior is given by the table s1 s0 P Q 0 0 (A + B + C) (D + E + F) 0 1 (A · B · C ) ' (D · E · F ) ' 1 0 ( A B C ) ( D E F ) 1 1 ( A B C ) ' ( D E F ) ' (a) Write a logic expression for P. (b) Write a logic expression for Q. (c) Realize the entire circuit using one 18P8 PAL chip. Complete the PAL table to show how you are using the chip. Solution: (a) P = (s1 ' · s0 ' ) · (A + B + C) + (s1 ' · s0 ) · (A · B · C ) ' + (s1 ' · s0 ' ) · (A B C ) + (s1 · s0 ) · (A B C ) ' = (s1 ' · s0 ' ) · (A + B + C) + (s1 ' · s0 ) · (A' + B ' + C ' ) + (s1 ' · s0 ' ) · (A B C ) + (s1 · s0 ) · (A B C ) ' = Σ ( 3 products ) + Σ ( 3 products ) + Σ ( 4 products ) + Σ ( 4 products ) = Σ ( 14 products ) (b) Q is a similar expression, but with D, E, F instead of A, B, C. Q = Σ ( 14 products ) (c) We can realize P with 2 pins; same for Q. Table is on next page.
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ECE 211 HW 11 SOLUTIONS p 2 of 6 Pin Mode Signal Name Number of Products Used Input (Input) A N/A Input (Input) B N/A Input (Input) C N/A Input (Input) D N/A Input (Input) E N/A Input (Input) F N/A Input (Input) s1 N/A Input (Input) s0 N/A Input (Input) N/A Input (Input) N/A Bidirectional
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This homework help was uploaded on 04/17/2008 for the course ECE 211 taught by Professor Nestor during the Fall '07 term at Lafayette.

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hw11_SLN - ECE 211 HW 11 SOLUTIONS p 1 of 6

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