9. A multiplexer is a switching circuit that produces as its single output one of a set of inputs based on the value of some additional inputs called the controls. Given that 0, 1, 2, and 3 in two-bit binary are 00, 01, 10, and 11, respectively, draw a 2-bit multiplexer using the three basic logic gates with inputs xo, x1, x2, and r3, and two control inputs co and c1. Setup the circuit so that x; is the single output, where i if the value of the 2-bit integer (c1co)2. NOTE: This is not a Boolean product; instead it's the binary representation of an integer where c1 is the most significant bit and co is the least significant bit.
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- 1a. Draw a circuit diagram using appropriate logic gates to implement a 3-bit comparator. Identifythe gates used in implementation and show its usage to compare two 3-bit words by writing thetruth table. b. Write the Boolean expression for the following 4 input circuit. Include sub-expressions foroutputs of each gate. c. Complete a truth table for the previous logic gate circuit in part b. d. Write the Boolean expression for the new circuit below. Then, simplify the following logic circuitusing the theorems in Boolean algebra. Show the steps clearly and specify the law used in eachstep. Finally draw the simplified circuit diagram.First, you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement an ADDER capable of adding two 4 bit binary numbers. Second, you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Finally, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and…Consider a special purpose decoder that is called BCD to seven-segment decoder. The decoder takes a 4-bit Binary Coded Decimal (BCD) number X3 X2 X4 X0 (0-9) and produces 7 outputs a, b, c, d, e, f, and g The specification of this circuit is as follows: ⚫ The 7 outputs of the decoder are connected to LED segments as shown in the figure below. The LEDs are active low, ie, the LED emits light when it is connected to logic 0. • The decoder output is determined in a way so that the LED segments display the decimal representation of the input. For example, if the input X3 X2 X1 X0 is 0001 respectively (which is equivalent to decimal 1), the outputs a, b, c, d, e, f, and gare 1001111 showing the letter 1 on the display (remember the LEDs are active low). Decoder W- 4x7 e U Answer the following questions: a. Fill in the truth table of that decoder. Choose a good value for the output when the input is greater than decimal 9. b. Derive the simplified Boolean expressions for the outputs a, b, c,…
- A combinational circuit with four inputs (A,B,C,D) and one output (Z) is designed as follows using an 8:1 multiplexer. Inputs A,B,C are connected to the select lines ?S2, S1, S0 respectively. Multiplexer has the following values connected to the data inputs: I0,I6 =1; I1,I3 =D; I2,I5 =0; I4,I7 =D’ Write the simplest logic expression of the circuit realized above Z= f(A, B, C, D)A set of stairwell lights is controlled by the single output, L of a Logic circuit having inputs from three Switches S₂, S₁, S. Assume that initially all switches are down and lights are off. The first person to change any one of the three switches to up turn the Light ON, the next person to subsequently after the position of any one of the three switches turns the light off, The next person turns the rights ON. Determine the required Logic and implement using :(a)NAND gates (b)EX-OR gates.This is the question: Suppose that we want to synthesize a circuit that has two switches x and y. The required functional behavior of the circuit is that the output must be equal to 0 if switch x is opened (x=0 ) and y is closed (y=1); otherwise the output must be 1. My friend sent me the answer which I will attach but I have no idea what is going on .. can someone please explain in detail?
- Draw a detailed logic diagram for a 4-bit Tiny ALU circuit, labeling the two bit Op signal inputs as Op1 and Op0, where zero is the least significant bit. Write the logic expression for the circuit (you will need expressions for the four output signals Out3, Out2, Out1, and Out0 in terms of the six input signals).Create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Also, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and tricks are useful here for multi-bit pins, and how to set up different gates to support more than 1 bit. If using YOUR adder or subtractor circuit in your ALU that is not only acceptable…Design combinational logic for outputting the wait time associated with each state. For example, state 000 has the main street green light on for 15 seconds. The combinational logic for the input 000 would have an output 1111 corresponding to decimal 15. Let the outputs W3, W2, W1 and W0 represent a binary number corresponding to the wait time.
- a) Implement the following Logic Circuit using C++. A, B, C, and D are the input bits while F is the output bit function. 28. Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a) Show the truth table for this comparator b) Write the logic equation for Z2 that are true if only if A < B c) Write the logic equation for Z1 that are true if only if A > B d) Write the logic equation for Z0 that are true if only if A = B e) Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f) Use Logisim to verify your designUse VHDL to implement a 16-to-1 Multiplexer. The inputs are w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, and w11. The last four inputs are not attached to an input signal. How many select bits need the circuit?