Given the function f = x(y + w'z) + wxz.
- Show a truth table for the functions.
- Draw a block diagram of a circuit.
- Simplify the circuit using Boolean Algebra or K-Map.
- Re-draw the simplified circuit diagram next to the original circuit.
I NEED HELP WITH THIS ONE. THE IMPORTANT PART IS TRUTH TABLE. IF YOU DON'T KNOW OR DON'T WANT TO DRAW A BLOCK DIAGRAM, IT'S FINE. I NEED TRUTH TABLES FOR THE FUNCTION AND THE SIMPLIFIED FUNCTION. THANK YOU SO MUCH
a)Truth Table
w |
x |
y |
z |
w’ |
w’z |
xz |
wxz |
y+w’z |
x(y+w’z) |
f = x(y+w’z) + wxz |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
Explanation:
Negation(¬) of any logical Identity P is Nothing but Opposite Truth
Value for P. i.e If P is T then (¬P) is F
And gate is used to find the Product of Two literals P AND Gate Q Output is PQ is T if and only if both P and Q are T else PQ is F
OR gate is used to find the Sum of Two literals P OR
Gate Q Output is P+Q is T if and on if any one of P and
Q are T else P+Q is F
3) From the above truth table
Given Function is
f (w, x, y, z) = m (6, 7, 13, 14, 15)
Above Function in K-map as follows
Simplified
K-map as follows
The Simplified SOP of f (w, x, y, z) = wxz+xy
Simplified Circuit:
Given f (w, x, y, z) = wxz+xy
Explanation:
Negation(¬) of any logical Identity P is Nothing but Opposite Truth
Value for P. i.e If P is T then (¬P) is F
And gate is used to find the Product of Two literals P AND Gate Q
Output is PQ
OR gate is used to find the Sum of Two literals P OR Gate Q Output
is P+Q
Get Answers For Free
Most questions answered within 1 hours.