Question
In: Computer Science
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)
Solutions
venereology answered 1 year 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)
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,...
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,...
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)
use logism: For each of the following functions, simplify using Karnaugh Maps, then build, and hand...
use logism: For each of the following functions, simplify using
Karnaugh Maps, then build, and hand in a properlydocumented
circuit. You need to submit both a K-Map as well as the circuit for
each part. a) F1 (a,b,c,d) = Σ(1, 2, 3, 4, 5, 9,10,11) b) F2
(a,b,c,d) = Σ(2, 3, 4, 6, 8, 11, 15) δ(a,b,c,d) = Σ(0, 5, 7, 9,
10)
Use a Karnaugh map to find the minimum AND-OR expression for x(a, b, c) with don’t-care...
Use a Karnaugh map to find the minimum AND-OR expression for
x(a, b, c) with don’t-care conditions:
(c) Σ(1, 3) + d(0, 2, 4, 6)
(e) Σ(1, 7) + d(2, 4)
1- Use calculus to find the absolute maximum and minimum values of the following functions on...
1- Use calculus to find the absolute maximum and minimum values
of the following functions on the given intervals. Give your
answers exactly and show supporting work.
f(x) = (7x − 1)e^−2x on [0, 1]
f(x) = x^4 − 2x^2 + 4 on [0, 2]
f(x) = x^3 − 2x^2 + x + 1 on [0, 1]
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...
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.
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