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)
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)
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)
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.
(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’)
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...
1. Given a Boolean function ?(?, ?, ?) such that ?(?, ?, ?) = 1
if...
1. Given a Boolean function ?(?, ?, ?) such that ?(?, ?, ?) = 1
if the binary number ??? divides 36,
and ?(?, ?, ?) = 0 otherwise:
a. Construct the Truth Table for ?(?, ?, ?)
b. Find the Sum of Products (SoP) expansion for ?(?, ?, ?)
c. Minimize the SoP from above, using the K-map, state the
minimized function
d. Draw a combinatorial circuit for the minimized function