Computer Engineer
mongo328
book_questions_all.2.docxAnswer Exercises 2 a&b on page 189
For guidance, look at Exercises 1 a & B and their solutions on page 835.
SHOW YOUR INTERMEDIATE COLUMNS that lead you to the final column solution.
Construct a truth table for:
a) xyz + x(yz)’ + x’(y + z) + (xyz)’
b) (x + y’)(x’ + z’)(y’ + z’)
Answer Exercise 9 on page 190
Is the fallowing true or false? Prove your answer.
(x XOR y)’ = xy + (x + y)’
Answer Exercises 10 a and b on page 190.
Show that x = xy + xy’
a) using truth tables
b) using Boolean identities
Answer Exercise 12 part a on page 190. (Note: Not part b.)
Show that xz = (x + y)(x + y’)(x’ + z)
a) using truth tables
b) using Boolean identities
Answer exercise 13 on page 190.
Use any method to prove the fallowing either true or false.
xz + x’y’ + y’z’ = xz + y’
Answer Ex 23 on page 191
The truth table for a Boolean expression is shown below. Write the Boolean expression in sum of products form. (table is depicted below)
|
x |
y |
z |
F |
|
0 |
0 |
0 |
1 |
|
0 |
0 |
1 |
1 |
|
0 |
1 |
0 |
1 |
|
0 |
1 |
1 |
0 |
|
1 |
0 |
0 |
1 |
|
1 |
0 |
1 |
1 |
|
1 |
1 |
0 |
0 |
|
1 |
1 |
1 |
0 |
Look at Exercise 24 on page 191.
Answer it and show the Truth Table for the one you selected.
Which of the fallowing Boolean expressions is not logically equivalent to all the rest?
a) wx’ + xy’ + xz
b) w + x’ + y’ + z
c) w(x’ + y’ + z)
d) wx’yz’ + wx’y’ + xy’y’ + wz
Given the Truth Table for (xz) + y' [from Ex 13 page 190],
state its Sum of Products expression
then draw the Logic Circuit for that Sum of Products.
xz + x’y’ + y’z’ = xz + y’
Answer Exercise 38 on page 193
SHOW YOUR INTERMEDIATE COLUMNS that lead you to the final column solution. You should have a column for the output of each Logic Gate.
Answer Exercise 37 on page 192
For guidance, look at Exercise 36 and its solution on page 837.
SHOW YOUR INTERMEDIATE COLUMNS that lead you to the final column solution. You should have a column for the output of each Logic Gate.
