Question

Given F = AB′D′ + A′B + A′C + CD.

(a) Use a Karnaugh map to find the maxterm expression for F (express your answer

in both decimal and algebric notation).

(b) Use a Karnaugh map to find the minimum sum-of-products form for F ′.

Answer #1

**Answer for
(a):**

**Answer for
(b):**

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:
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)

Prove If segment AB = segment CD, then
{A,B}={C,D}.

Expand the following expression into minterms and then simplify
it using K-map.
F(A,B,C,D) = BC'D' + A'C'D + ACD + BCD + A'BD

Find the number of permutations of a, b, c, d, e, f, g and h
containing no piece ab, or cd, or acb.

Suppose events A,B,C,D are mutually independent. Show that
events AB and CD are independent. Justify each step from the
definition of mutual independence.

Let f(x)=8x2−32x+13
(a) Find the critical point c of f and compute f(c)
(Use symbolic notation and fractions where needed. Give your answer
in the form of comma separated list if needed. Enter NCP if the
function has no critical points. Enter DNE if there are no maximum
or minimum.)
c=
f(c)=
(b) Find extreme values of ff on [0,6].
Maximum =
Minimum =
(c) Find extreme values of ff on [−4,1].
Maximum =
Minimum =

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...

Let A, O, B be collinear with O ∈ (AB), C, O, D also collinear
with O ∈ (CD) E in the interior of the ∠AOC and F in the interior
of the ∠BOD such that O ∈ (EF). If (OE is the bisector of the ∠AOC
prove that (OF is the bisector of the ∠BOD

Your team leader is impressed with your explanation and wants to
hear more, to your surprise. He’s especially interested in how the
processor is built. He’s heard about the idea of logic gates and
that processors are built from them, but knows that he’s not very
clear on this. You decide to help him by explaining a little bit
about digital logic design.
i. Draw the truth table of the boolean function (A + B).C.
ii. Find the minimised sum...

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