6- Rank the following functions by increasing order of
growth. That is, find
any arrangement g1,g2,g3,g4,g5,g6,g7,g8...
6- Rank the following functions by increasing order of
growth. That is, find
any arrangement g1,g2,g3,g4,g5,g6,g7,g8 of the functions
satisfying g1 = O(g2),
g2= O(g3), g3= O(g4), g4= O(g5), g5= O(g6), g6= O(g7), g7=
O(g8). [2 points]
f1(n)= ne
f2(n)=πn
f3(n)=(n+1)!/2
f4(n)=lnlnn
f5(n)=lgn
f6(n)=en f7(n)=
nπlgn
f8(n)=eπ
Consider the sequence g0 = 1,
g1 = 1, g2 = 21,
g3 = 41, g4...
Consider the sequence g0 = 1,
g1 = 1, g2 = 21,
g3 = 41, g4 = 461,
g5 = 1281, g6 = 10501,...
whose linear generator is gn+2 =
gn+1 + 20gn, that is, 20(!)
pairs of baby rabbit offspring.
As we did for the Fibonacci numbers, please derive a closed
form expression for gn.
Consider the sequence hn =
(–1)n gn:
1,–1,21,–41,461,–1281,10501,... Please give a second order
homogeneous linear recurrence with constant coefficients for
hn and prove that...
7. For each of the following functions, find all of the minimum
sum of products expressions...
7. For each of the following functions, find all of the minimum
sum of products expressions and all of the minimum product of sums
expressions:
a. f(W, X, Y, Z) Σm(2, 4, 5, 6, 7, 10, 11, 15)
b. f(a, b, c, d) Σm(0, 1, 6, 15) d(3, 5, 7, 11, 14) (1 SOP and 2
POS solutions)
f(a,b,c) =
Xm(0,1,5)
Use boolean algebra to simplify both of the above expressions to
determine the...
f(a,b,c) =
Xm(0,1,5)
Use boolean algebra to simplify both of the above expressions to
determine the minimal sum-of-products and the minimal
product-of-sums representation for the above function.
Logic Circuit
Problem #3
Given the following logic function: F(a,b,c,d) = ?
m(0,3,7,9,11,13,15)+?d(4,6,8) use a Karnaugh...
Logic Circuit
Problem #3
Given the following logic function: F(a,b,c,d) = ?
m(0,3,7,9,11,13,15)+?d(4,6,8) use a Karnaugh Map to, a) Find a
minimal SOP expression Answer: F(a,b,c,d) = b) Find a minimal POS
expression
Answer: F(a,b,c,d) =
Problem #4
Implement the function F(a,b,c,d) given in problem #3 using two
3-to-8 decoders, both active low enabled and active low output.
F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8)
Answer:
Problem #5
Implement the function in the previous problem: F(a,b,c,d) = ?
m(0,3,7,9,11,13,15)+?d(4,6,8), using a single 4...