Question
Design a circuit that takes three bits, X2, X1, X0 as input and produces one output,...
Design a circuit that takes three bits, X2, X1, X0 as input and produces one output, F. F is 0 if and only if 4<=X<=6 when X = (X2, X1, X0) is read as an unsigned integer.
|
X2 |
X1 |
Xo |
F |
|
0 |
0 |
0 |
|
|
0 |
0 |
1 |
|
|
0 |
1 |
0 |
|
|
0 |
1 |
1 |
|
|
1 |
0 |
0 |
|
|
1 |
0 |
1 |
|
|
1 |
1 |
0 |
|
|
1 |
1 |
1 |
|
truth table, equation, and map
Homework Answers
Answer #1
Solution:
Given,
=>Input bits are X2, X1 and X0 and output is F.
=>F is 0 if an only if 4 <= X <= 6 where X = (X2, X1, X0)
Explanation:
Creating truth table:
=>When X does not belong to the range 4 <= X <= 6 the value of F = 1 otherwise 0.
| X2 | X1 | X0 | F |
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 1 |
Creating equation:
=>We can write F = X2'X1'X0' + X2'X1'X0 + X2'X1X0' + X2'X1X0 + X2X1X0 using minterms(where F = 1)
K-map and circuit diagram:
I have explained each and every part with the help of statements as well image attached to it.
Not the answer you're looking for?
Similar Questions
Design a combinational circuit with 4 inputs (A, B, C, D) and two outputs (F, G):...
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 a Full Subtractor circuit that takes x, y, bin as inputs and produces bout and...
Design a Full Subtractor circuit that takes x, y, bin as inputs
and produces bout and difference(d) at the output
Design a combinational circuit that has 3 inputs and whose
output is produced by adding 1 to the input.
design a moore sequential circuit with one input x and one output z such that z=1...
design a moore sequential circuit with one input x and one
output z such that z=1 if the total number of 1's received is odd
and the total number of 0's received is an even number greater than
0. (6 states)
sample input x: 010011101010010101101
z: 001000001000001000001
derive the starte diagram. use one-hot state assignment for the
design. use DFF and draw the circuit
Design a sequential circuit which has an input line x and an output line y. The...
Design a sequential circuit which has an input line x
and an output line y.
The circuit receives input from a single source in the
form of a string of ‘1’ s and 0’s .
The output goes to ‘1’ once three consecutive ‘1’s are
seen on the input, and remains 1 as long as it continues to receive
‘1’ on the input line. If it receives a ‘0’ the output goes to ‘0’
again..
Inputs : x = 0001101011101111110010...
Q5) Design a magnitude comparator that takes two three bit unsigned numbers, A = (a2a1a0) and...
Q5) Design a magnitude comparator that takes two three
bit unsigned numbers, A = (a2a1a0) and B = (b2b1b0), and outputs LE
= 1 if A<=B, otherwise LE = 0. Give the Boolean expression for
the circuit output g. Draw the circuit using only 3 4x1
MUXs.(16pt)
A circuit that controls a given digital system has three inputs: x1, x2 and x3. It...
A circuit that controls a given digital system has three inputs:
x1, x2 and x3. It has to recognize three different conditions: 1)
Condition A is true if x3 is true and either x1 is true or x2 is
false 2) Condition B is true if x1 is true and either x2 or x3 is
false 3) Condition C is true if x2 is true and either x1 is true or
x3 is false. The control circuit must produce an...
Design 2 bits counter that count down by using T flip flop when input x =1...
Design 2 bits counter that count down by using T flip flop when
input x =1 and counts up
when x=0. Find the following
1. Derive the state table
2. Derive the K‐map simplifications.
3. Draw the logic diagram
you are given a list of n bits {x1,x2,...,xn} with each xi being an element in...
you are given a list of n bits {x1,x2,...,xn} with each xi
being an element in {0,1}. you have to output either: a) a natural
number k such that xk =1 or b) 0 if all bits are equal to zero. the
only operation you are allowed to access the inputs is a function
I(i,j) defined as:
I(i,j) = { 1 (if some bit in xi, xi+1,...,xj has vaue 1), or
0, (if all bits xi,xi+1,...,xj have value 0}.
the...
A switching circuit has three inputs (A, B, C) and one output (Z). If A= 0,...
A
switching circuit has three inputs
(A, B, C) and one
output
(Z).
If
A= 0, the
output Z is the exclusive-OR of B and C. If
A = 1, the
output is the equivalence of
B and C.
A.
Find the
truth table for Z.
B.
Write
the
minterm expansion
for Z in decimal form and in terms of A, B, C.
C.
Write
the
maxterm expansion
for Z in decimal form and in terms of A, B, C....
Q.1.It is required to design an iterative combinational circuit that computes the equation Z=2*X-3, where X...
Q.1.It is required to design an iterative
combinational circuit that computes the equation Z=2*X-3, where X
is an n-bit signed number in 2’s complement representation. (Hint:
-3 can be represented as -1+-1+-1 in 2’s complement representation,
where -1 is represented as 111…..111).
a)Determine the number of inputs and outputs
needed for your 1-bit cell. Explain the meaning of values in the
interface signals.
b)Derive the truth table of your 1-bit
cell.
c) Derive minimized equations for your 1-bit
using K-Map...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 2 minutes ago
asked 10 minutes ago
asked 35 minutes ago
asked 52 minutes ago
asked 54 minutes ago
asked 54 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago