Name
_________________________________
Section/Semester
MATH 210 - ___ /_____________
Assignment Name
Assignment 2b
Chapter/Questions
Ch 12.3 # 4, 6
Ch 12.4 # 12, 14
Questions from Rosen Textbook*
12.3.4. Find the output of the given circuit.
Questions from Rosen Textbook*
12.3.6. Construct circuits from 𝑖𝑛𝑣𝑒𝑟𝑡𝑒𝑟𝑠, 𝐴𝑁𝐷 gates, and 𝑂𝑅 gates to produce these outputs.
a) 𝑥̅ + 𝑦
b) ̅̅̅̅̅̅̅̅̅̅̅
(𝑥 + 𝑦)𝑥
c) 𝑥𝑦𝑧 + 𝑥̅ 𝑦̅𝑧̅
d) ̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅̅
(𝑥̅ + 𝑧)(𝑦 + 𝑧̅)
Questions from Rosen Textbook*
12.4.12. Use a K-map to find a minimal expansion as a Boolean sum of Boolean products of each of
these functions in the variables 𝑥, 𝑦, and 𝑧.
a) 𝑥̅ 𝑦𝑧 + 𝑥̅ 𝑦̅𝑧
b) 𝑥𝑦𝑧 + 𝑥𝑦𝑧̅ + 𝑥̅ 𝑦𝑧 + 𝑥̅ 𝑦𝑧̅
c) 𝑥𝑦𝑧̅ + 𝑥𝑦̅𝑧 + 𝑥𝑦̅𝑧̅ + 𝑥̅ 𝑦𝑧 + 𝑥̅ 𝑦̅𝑧
d) 𝑥𝑦𝑧 + 𝑥𝑦̅𝑧 + 𝑥𝑦̅𝑧̅ + 𝑥̅ 𝑦𝑧 + 𝑥̅ 𝑦𝑧̅ + 𝑥̅ 𝑦̅𝑧̅
Questions from Rosen Textbook*
12.4.14. Use a K-map to find a minimal expansion as a Boolean sum of Boolean products of the function
below in the variables 𝑥, 𝑦, and 𝑧.
a) 𝑥̅ 𝑦𝑧̅ + 𝑥̅ 𝑦̅𝑧 + 𝑥𝑦𝑧 + 𝑥𝑦̅𝑧 + 𝑥𝑦𝑧̅
Questions from Rosen Textbook*