Given the SOP function:
f(a,b,c,d) = Σ m ( 1 , 3 , 4 , 5...
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
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
Use multiplexer (8 to 1 MUX) to implement
Boolean
function:
?(?, ?, ?,?, ?) = ∑...
Use multiplexer (8 to 1 MUX) to implement
Boolean
function:
?(?, ?, ?,?, ?) = ∑ ?(2,3,4,6,9,12,13,14,15,25)?