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

Engineering   Computer-Science   
0 0
Add a commentTranscribed image text
Next >

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.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Design a circuit with three inputs x,y and z representing the bits in a binary number,...
Design a circuit with three inputs x,y and z representing the bits in a binary number, and three outputs (a,b, and c) also representing bits in a binary number. When the input is 0,1,6, or 7, the binary output will be the complement of the input. When the binary input 2,3,4, or 5 the output is the input shifted left with rotate. For example: 3 = 011₂ outputs 110; 4 = 100₂ outputs 001.) Show truth table, computation, simplification and...
Design a combinational logic circuit that accepts a decimal value represented as a four-bit Aiken (or...
Design a combinational logic circuit that accepts a decimal value represented as a four-bit Aiken (or "2421") code (X3 X2 X1 X0) as its input and that creates a four-bit output (Y3 Y2 Y1 Y0) that uses standard binary (radix-2) encoding to represent the same decimal value. For each of the four outputs, construct a standard truth table with inputs X3 X2 X1 X0 appearing in order from 0000, 0001, 0010, ..., 1111. The 6 disallowed input combinations can be...
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...
X1(t) and x2(t) are two input sources. Design an OPAMP circuit which satisfies the output y(t):...
X1(t) and x2(t) are two input sources. Design an OPAMP circuit which satisfies the output y(t): y(t)= 2x1(t) - 3x2(t) +2V.
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...
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...
Assume that you are asked to design a logic circuit with the following specifications, using K-map....
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.
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)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT