Question

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

Answer #1

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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...

#9) You are to implement the following function
F(A,B,C,D,E,F) which outputs a 1 whenever the binary number
represented by ABCDE is ODD and 0 otherwise. A is the MSB and E is
the LSB.
Draw the function F(A,B,C,D,E,F) and show the work that led you
to that answer.
Since I am not so sadistic as to have you draw
the truth table of a 6 variable function and draw the K-map of such
a function, you should realize, as a...

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...

Given F = AB′D′ + A′B + A′C + CD.
(a) Use a Karnaugh map to find the maxterm expression for F
(express your answer
in both decimal and algebric notation).
(b) Use a Karnaugh map to find the minimum sum-of-products form
for F ′.

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)

Use the truth table to answer the
following questions, { X is Do not Care Condition}
A
B
C
D
Y
0
0
0
0
1
0
0
0
1
1
0
0
1
0
0
0
0
1
1
0
0
1
0
0
1
0
1
0
1
1
0
1
1
0
0
0
1
1
1
1
1
0
0
0
1
1
0
0
1
X
1
0
1
0
0
1
0
1
1...

Assume that you are asked to design a logic circuit with the
following specifications, using K-map. The circuit has two inputs X
and Y and three outputs O0, O1 and O2. This circuit operates as
follows: (1) the output (O0) will be high when XY only, and (3) the
output (O2) will be high when X=Y only.
a)Create the truth table for this logic circuit.
b) Show the Karnaugh maps.
c) Draw the schematic, using logic gates.

Design a combinational circuit with 4 inputs (A, B, C, D) and
two outputs (F, G): The F output becomes ‘1’ when the corresponding
decimal value represented by the 4 input bits is divisible by 3
(for example, F=1 when input combination is 0011; as 0011is 3 in
decimal that is div. by 3). The G output becomes ‘1’ when the
corresponding decimal value represented by the 4 input bits is
divisible by 5.
Also, mention how many gate delays...

Design of a home Security System
The homeowner wants an alarm to sound (Y=1) if someone breaks
into the house
through a door or a window (A=1) or if something is moving
around in the house (B=1)
while the occupants are away.
The user should be able to select one of three operating
states:
1. Sleeping state (CD=01): the alarm will sound only if the
windows or doors are
disturbed.
2. Away state (CD=10): the alarm will sound if the...

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