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...
Find a circuit of AND and OR gates to realize f (a, b, c, d) =...
Find a circuit of AND and OR gates to realize f (a, b, c, d) = Ʃ
m(1, 5, 6, 10, 13, 14)
a- Build the truth table
b- Find the Boolean expression
c- Draw the circuit
d- simplify f by using a Karnaugh map
e- Build the simplified truth table f- Re-draw the simplify
circuit
Write the truth table for the following expression
f (a, b, c, d) = ∑m (1,6,5,3,7,4)...
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) = 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)