Question
In: Computer Science
2. For each of the following, find all minimum sum of products expressions. (If there is...
2. For each of the following, find all minimum sum of products expressions. (If there is more than one solution, the number of solutions is given in parentheses.)
a. f(a, b, c) Σm(1, 2, 3, 6, 7)
b. f(a, b, c, d) Σm(1, 2, 3, 5, 6, 7, 8, 11, 13, 15)
c. h(a, b, c, d) Σm(2, 4, 5, 6, 7, 8, 10, 12, 13, 15)
d. f(w, x, y, z) Σm(0, 1, 2, 4, 5, 6, 9, 10, 11, 13, 14, 15)
Solutions
Expert Solution
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venereology answered 1 month agoRelated Solutions
For each of the following functions, find all the minimum SOP expressions using the Karnaugh map....
For each of the following functions, find all the minimum SOP
expressions using the Karnaugh map.
g(v,x,y,z,w)=
Σm(0,1,4,5,8,9,10,15,16,18,19,20,24,26,28,31)
(1 solution)
1) For each of the following functions, find all the minimum SOP expressions using the Karnaugh...
1) For each of the following functions, find all the minimum SOP
expressions using the Karnaugh map.
a) f(a,b,c) = Σm(0,1,5,6,7) (2 solutions)
b) g(v,x,y,z,w)= Σm(0,1,4,5,8,9,10,15,16,18,19,20,24,26,28,31)
(1 solution)
c) h(a,b,c,d) = Σm(01,2,5,7,9)+Σd(6,8,11,13,14,15) (4
solutions)
d) f(a,b,c,d) = Σm(5,7,9,11,13,14)+Σd(2,6,10,12,15) (4
solutions)
Exercise 6: SOP & Pos Expressions Part 1: For each of the following functions, find all...
Exercise 6: SOP & Pos Expressions
Part 1: For each of the following functions, find all of the
minimum product of sums expressions:
a. f(W,X,Y,Z) = SUMM(2,4,5,6,7,10,11,15)
b. f(A,B,C,D) = SUMm(1,5,6,7,8,9,10,12,13,14,15)
(1 SOP and 2 POS solutions)
Part 2: Find a minimum two-level circuit (corresponding to sum
of products expressions) using AND and one OR gate per function
foreach of the following sets of functions.
a. f(a,b,c,d) = SUMm(0, 1, 2, 3, 4, 5, 8, 10, 13)
g(a,b,c,d) = SUMm(0,...
Convert these expressions to both sum of products and product of sums, minimizing where possible 1....
Convert these expressions to both sum of products and product of
sums, minimizing where possible
1. abc+(d+e)c’+abc’
2. a(b+c(d+e))+d
Find both the minimum SOP and minimum POS expressions for the function below F=£(4, 10, 11,...
Find both the minimum SOP and minimum POS expressions
for the
function below
F=£(4, 10, 11, 12, 14) + £d (1,3,5, 8, 9)
1. Use Boolean algebra to simplify the following Boolean expressions to expressions containing a minimum number...
1. Use Boolean algebra to simplify the following Boolean
expressions to expressions containing a minimum number of
literals:
(a) A’C’ + A’BC + B’C
(b) (A + B + C)’(ABC)’
(c) ABC’ + AC
(d) A’B’D + A’C’D + BD
(e) (A’ + B)’(A’ + C’)’(AB’C)’
(f) (AE + A’B’)(C’D’ + CD) + (AC)’
2. Obtain the truth table of the function F = (AB + C)(B + AC),
express the function F in sum-of-minterms and product-of-maxterms
forms, and express...
(22 pts) Find the experimental probability of rolling each sum. Fill out the following table: Sum...
(22 pts) Find the experimental probability of rolling each sum.
Fill out the following table:
Sum of the dice
Number of times each sum occurred
Probability of occurrence for each sum out of your 108
total rolls (record your probabilities to threedecimal
places)
1
2
3
4
5
6
7
8
9
10
11
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean...
Simplify the following Boolean expressions to the minimum number
of terms using the properties of Boolean algebra (show your work
and write the property you are applying). State if they cannot be
simplified
A. X’Y + XY
B. (X + Y)(X + Y’)
C. (A’ + B’) (A + B)’
D. ABC + A’B + A’BC’
E. XY + X(WZ + WZ’)
Simplify the following Boolean expressions to the minimum number of terms using the properties of Boolean...
Simplify the following Boolean expressions to the minimum number
of terms using the properties of Boolean algebra (show your work
and write the property you are applying). State if they cannot be
simplified.
A. A’B + AB
B. XY + X(WZ + WZ’)
C. X’Y’(X’+Y)(Y’+Y)
D. ABC + A’B + A’BC’
E. (A+B)(AC+AC’)+AB+B
Draw the circuit logic diagrams for both the original and
simplified expressions.
For the following exercises, find the indicated sum.
For the following exercises, find the indicated sum.For the following exercises, find the indicated sum.
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