ECE251 hw5 - the ensuing joint lunch Or(c Jean’s mother...

NEW JERSEY INSTITUTE OF TECHNOLOGY
DEPT. OF ELECTRICAL & COMPUTER ENGINEERING
ACADEMIC YEAR 2010-2011
SEMESTER 1
ECE251 DIGITAL DESIGN
HW 5
1.
Compute the complement of
) ( ) ( C A D D C B A F + + + =
using Boolean algebra. Simplify
your answer as much as possible.
2.
Simplify the function
) 15 , 11 , 9 , 4 , 1 ( ) , , , (
∑
= D C B A F
using a K-map.
3.
Simplify the function
) 15 , 13 , 12 , 8 , 6 , 1 , 0 ( ) , , , (
∏
= D C B A F
using a K-map.
4. John tells his girl friend, Jean, that they will go to the park the next day if:
(a) It does not rain in the morning, and Jean’s mother decides not to join them. Or,
(b) It does rain in the morning; Jean’s mother decides to join them, and she pays for