Use the properties and theorems of Boolean algebra to reduce the
following expressions to
AND-OR expressions...
Use the properties and theorems of Boolean algebra to reduce the
following expressions to
AND-OR expressions without parentheses. The expressions may not be
unique. Construct the
truth table, which will be unique, by inspection of your final
expression.
g) (a ⊕ b) ⊕ c
i ) (a + b)(a′ + c)(b′ + c′)
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) = 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)
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)
Find the simpliest SOP expression using boolean algebra.
F(A,B,C,D) = A’B’CD + A’BCD’ + A’BCD +...
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’
(3) Use K-map to simplify the following expressions, and
implement them with two-level NAND gate circuits:...
(3) Use K-map to simplify the following expressions, and
implement them with two-level NAND gate circuits:
(a) F(A,B,C,D)=A’B’C+AC’+ACD+ACD’+A’B’D’
(b) F(A,B,C)=(A’+B’+C’)(A’+B’)(A’+C’)
Use the following expressions for left and right sums
left
sum
=
f(t0)Δt
+
f(t1)Δt
+...
Use the following expressions for left and right sums
left
sum
=
f(t0)Δt
+
f(t1)Δt
+
f(t2)Δt
+ +
f(tn −
1)Δt
right
sum
=
f(t1)Δt
+
f(t2)Δt
+
f(t3)Δt
+ +
f(tn)Δt
and the following table.
t
0
4
8
12
16
f(t)
25
22
20
18
15
(a) If n = 4, what is
Δt?
Δt =
What are
t0,
t1, t2,
t3,
t4?
t0
=
t1
=
t2
=
t3
=
t4
=
What are
f(t0),
f(t1),
f(t2),
f(t3),...
Simplify the following Boolean functions, using K-maps. Find all
the prime implicants, and determine which are...
Simplify the following Boolean functions, using K-maps. Find all
the prime implicants, and determine which are essential:
(a) F (w, x, y, z) = ? (1, 4, 5, 6, 12, 14, 15)
(b) F (A, B, C, D) = ? (2, 3, 6, 7, 12, 13, 14)
(c) F (w, x, y, z) = ? (1, 3, 4, 5, 6, 7, 9, 11, 13, 15)