28 Jun digital homework 4
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 1 Winter, 2017
NAME: _____________________________________ Due: 2/06/2017
Show your work. Answers without supporting work will not earn full credit.
1. Using a Karnaugh Map, minimize • • + • • + • • + • • : _A_\_BC_ 0 0 0 1 1 1 1 0
0 1
2. Using a Karnaugh Map, minimize • + • • + • • + • • + • • : AB\CD 0 0 0 1 1 1 1 0
0 0 0 1 1 1 1 0
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 2 Winter, 2017
3. Given the following Karnaugh map, find the minimized equation, f:
WX\YZ 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 X 1 1 X 1 1 X 1 1 0 1 1
4. Using a Karnaugh map, minimize f(a,b,c,d) = (m2,m5,m6,m7) ifm0,m4,m12 andm14 are don’t cares.
ab\cd 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 3 Winter, 2017
5. Using a Karnaugh Map, minimize• • • + • • • + • • • + • • • + • • • ifm0,m4,m5 andm14 are don’t cares:
wx\yz 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0
6. Using a Karnaugh Map, minimize • • + • • + • • + • • _A_\_BC_ 0 0 0 1 1 1 1 0
0 1
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 4 Winter, 2017
7. Using a Karnaugh map, find the minimized equation for the following function
w x y z Q w x y z Q w x y z Q w x y z Q 0 0 0 0 0 0 1 0 0 1 1 0 0 0 X 1 1 0 0 0 0 0 0 1 0 0 1 0 1 X 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 X 1 1 1 1 1
wx\yz 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 5 Winter, 2017
8. Using a Karnaugh map, find the minimize POS equation for f(W,X,Y,Z) = (m0,m2,m6,m7,m8) ifm10,m13 andm15 are don’t cares.
WX\YZ 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 6 Winter, 2017
9. Given the following Karnaugh map, find the minimized POS expression:
AB\CD 00 01 11 10 00 1 0 0 1 01 1 0 1 X 11 0 X 1 X 10 0 X 0 0
ECE 204 Introduction to Digital Logic Bill Nelson Homework #4
1/31/2015 7 Winter, 2017
10. Using a Karnaugh map, find the minimized equation for the following function:
A B C D X A B C D X A B C D X A B C D X 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1
AB\CD 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0
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