1.Simplify the following functions using ONLY Boolean Algebra
Laws and Theorems. For each resulting simplified function,...
1.Simplify the following functions using ONLY Boolean Algebra
Laws and Theorems. For each resulting simplified function, sketch
the logic circuit using logic gates. (30points)
a.SimplifyF= (A+C+D)(B+C+D)(A+B+C) Hint:UseTheorem8 ,theorem 7
and distributive
̅̅b. Show that (Z + X)(Z +Y)(Y + X) = ? ? + ? ?
̅̅c. Show that (X +Y)Z + XYZ = ?.?
(15 points for simplification and 15 points for Logisim
diagrams)
2. Prove the below equation using Boolean Algebra Theorems and
laws Write the name of...
Using Boolean algebra, simplify the following Boolean
functions.
a. ABC + A’BC + (AB’C)’
b. AB’...
Using Boolean algebra, simplify the following Boolean
functions.
a. ABC + A’BC + (AB’C)’
b. AB’ + A’B + AB + A’B’
c. A’(A+B) + (B+A)(A+B’)
Create a truth table, Karnaugh map and show the simplified the
expression.
a. A’B + B
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.
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)
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′)
Find the truth table (function table), SOM, POM, and
simplify the expression using K Map approach...
Find the truth table (function table), SOM, POM, and
simplify the expression using K Map approach of the following Sigma
notation expression: (10 points) f(w,x d y,z)= sum
m(0,3,9,10,14,15)
Simply the following functional expressions using
Boolean algebra and its identifies. List the identities used at...
Simply the following functional expressions using
Boolean algebra and its identifies. List the identities used at
each step.
a) F(x, y, z) = y(x’ + (x + y)’)
b) F(x, y, z) = x’yz + xz
c) F(x, y, z) = (x’ + y + z’)’ + xy’z’ + yz +
xyz
The Essentials Of Computer Organization And Architecture (4th
Edition) - Chapter 3 - PROB 14E
Note: It seems the Chegg solutions for the textbook are
sometimes not correct,...