Question

Write the canonical SOP expression for the function
F(a, b, c, d)=∑m(2, 3, 9, 10, 11, 13) and

then simplify using algebraic manipulation.

Answer #1

Given the SOP function:
f(a,b,c,d) = Σ m ( 1 , 3 , 4 , 5 , 6 , 7 , 10 , 12 , 13 ) + Σ d
( 2 , 9 , 15 )
Use the Quine-McCluskey method to show that the minimum output
function, f, is:
f (a,b,c,d) = b'cd' + bc' + a'd + a'b or f(a,b,c,d) = b'cd' +
bc' + a'd + a'c

Using the algebraic manipulation, Simplify the following
expression
Y = (A + B)(A + C' )(B' + C' )

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 simpliest SOP expression using boolean algebra.
F(A,B,C,D) = A’B’CD + A’BCD’ + A’BCD + AB’C’D’ + AB’C’D +
ABC’D’

Write the truth table for the following expression
f (a, b, c, d) = ∑m (1,6,5,3,7,4)
And the conditions do not matter are
d (a, b, c, d) = ∑d (10,13,14)

Using K-map to simplify the following Boolean function:
F(A,B,C,D) = m(1,3,5,6,7,9,11,12,13,15)

Using K-map to simplify the following Boolean function:
F(A,B,C,D) = å
m(1,3,5,6,7,9,11,12,13,15)

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

1. Find f''(x)
F(x)= (x^2+2)^9
F''(x)=
2. Find t^(4)(n) for the function t(n)=
2n^-1/2+7n^3/2
t^(4)(n) = (Type an expression using n as the variable. Simplify
your answer)

For the reaction
A + 2 B + C → 3 D + 2 F
the following experimental data were obtained.
Experiment
[A] (M)
[B] (M)
[C] (M)
Rate (M/min)
1
0.10
0.10
0.10
2.0 x 10-5
2
0.10
0.10
0.30
6.0 x 10-5
3
0.20
0.10
0.10
8.0 x 10-5
4
0.10
0.40
0.10
2.0 x 10-5
Part #1:
Which represents the correct rate law?
A) Rate = k
[A]0[B]2[C]
B) Rate = k
[A]2[B]0[C]
C) Rate = k...

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