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...
Find the minimum sum-of-products expression for the following
functions using the LogicAid Karnaugh Map Tutorial
mode:...
Find the minimum sum-of-products expression for the following
functions using the LogicAid Karnaugh Map Tutorial
mode:
1. f(a,b,c,d) = ?m (0,2,3,4,7,8,14)
2. f(a,b,c,d) = ?M(1,2,3,4,9,15)
3. f(a,b,c,d) = ?M(0,2,4,6,8)* ?D(1,12,9,15)
Find a circuit of AND and OR gates to realize f (a, b, c, d) =...
Find a circuit of AND and OR gates to realize f (a, b, c, d) = Ʃ
m(1, 5, 6, 10, 13, 14)
a- Build the truth table
b- Find the Boolean expression
c- Draw the circuit
d- simplify f by using a Karnaugh map
e- Build the simplified truth table f- Re-draw the simplify
circuit
a) Represent the following logic function F(w, x, y, z) on a 4
variable K-map F(w,...
a) Represent the following logic function F(w, x, y, z) on a 4
variable K-map F(w, x, y, z) = Σm(6, 7, 9, 10, 13) + dc(4, 5, 11,
15)
b)Write down the list of the function’s prime implicants (PI)
and the essential prime implicant(s) (EPI), if any
c)Find a minimum expression in a sum-of-products form of the
logic function F(w, x, y, z).
Find the number of permutations of a, b, c, d, e, f, g and h
containing...
Find the number of permutations of a, b, c, d, e, f, g and h
containing no piece ab, or cd, or acb.
A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
AB= 7? −...
A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
AB= 7? − ? − 3?
CB = 4? − 5? + 3?
AC = 3? + 5? - 2?
Question 7: Express the vector AC as the sum of two vectors: AC
= ? + ?, where ? is parallel to the vector CB and ? is
perpendicular to CB. Given that AC ∙ CB = −26 and that CB = √50,
determine the y-component of...