OR gate to generate the output. For circuit 1, X is defined to be 1 if and only if the binary representation of A, B, C and D is even. Note A is the most significant bit, then B, then C, and D is the least significant. For circuit 2, X is defined to be 1 if and only if the total number of 1's among A, B, C and D is even. Which of the following 4-input gates would be used in the implementation of both circuits? D TIYT
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- A circuit which takes a binary-coded decimal (BCD) number as input s to be designed such that the single output Q is true if the input is a prime number (remerber that 0 and 1 count as prime numbers). (a)Draw a truth table that specifies the above circuit (b)Using the truth table you have constructed and the Karnaugh map method find the minimised Boolean expression for the output Q. (c)Implement the digital circuit using the minimum number of 2-input logic AND, OR gates and inverters (NOT.Using a 4-bit signed input P=P3P2P1P0 and a control input Z, use a 4-bit adder and any logicgates to design a digital circuit that does the following: ● Outputs P + 3, if the input Z = 0● Outputs P − 3, if the input Z = 1 You can ignore cases where an overflow* might occur after performing the addition or subtraction operation, as long as the circuit performs the signed binary arithmetic correctly. *In computers, typically there is additional circuitry for an overflow flag that gets triggered when the result of an arithmetic operation “does not fit” the number of bits allocated for the output. Please ensure that your components, such as your 4-bit adder are shown clearly with the complete labels of their input and output pins and signals. The sample diagram below shows examples of these labels.1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.
- question from DIGITAL LOGIC DESIGN book topic COMBINATIONAL LOGIC: 1. (a) Implement the following Boolean function with 2n-1 multiplexer. F (A, B, C, D) = ∑ (0,2, 4, 6, 8, 9, 10, 12, 14, 15)(b) Make a circuit that takes a four-bit number (w,x,y,z) and gives an output that is the multiplication of inputs (wx) and (yz). For example if the value of input (w,x,y,z) is 0110, then output would be 01 x 10 = 0010.Given a 4-bit signed input P=P3P2P1P0 and a control input Z, use a 4-bit adder and any logicgates to design a digital circuit that does the following: ● Outputs P + 3, if the input Z = 0● Outputs P − 3, if the input Z = 1 You can ignore cases where an overflow* might occur after performing the addition or subtraction operation, as long as the circuit performs the signed binary arithmeticcorrectly.Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Draw the logic diagram for a single bit stag
- Create a logic circuit diagram for the following Boolean algebra expression: Produce the truth table for your logic circuit, showing your method for determining the output for each set of inputs, and evaluate your results using computer software. There is a requirement to design a transistor amplifier circuit which gives a voltage amplification of 25dB. What are the further details that you as a designer require in order to complete the design process? If the input to the amplifier above is , what is the output? Sketch a suggested configuration for the amplifier circuit and plot both input and output signals on the same axes. Contrast the differences between the electronic devices used in a. and b. in terms of their operation and application, elaborating on the advantages and disadvantages of such devices, and evaluate the circuits determined. Note: To achieve the higher criteria for learning outcome 3 and 4, evaluate your work using computer software…A city council has three members, A, B, and C. Each member votes on a proposition (1 for yes, 0 for no). Find a minimized SOP logic expression having inputs A, B, and C and output X that is high when the majority vote is yes and low otherwise. Show that the minimized logic circuit checks to see if any pair of the three board members have voted yes. Repeat for a council with five members.Implement a circuit that has two data inputs (A and B), two data outputs (C and D), and a control input (S). If S equals 1, the network is in pass-through mode, and C should equal A, and D should equal B. If S equals 0, the network is in crossing mode, and C should equal B, and D shouldequal A. Draw the circuits using the standard logic gates (NAND, NOR, NOT, etc) as needed. Explain the working of the circuit.
- You are asked to construct a multi-function shift register with the functionality shown**: A. Design a one bit circuit which implements the functionality. Use D flip flops and any logic gate and/or combinatorial circuit seen in class. Label all inputs and outputs. B. Use the one-bit circuit from (A) to implement a four bit shift register. Use the principal of abstraction to represent each instance of the circuit from (A) as a functional block. Clearly label all ports.Which of the following statements accurately represents the best method of logic circuit simplification? a. Actual circuit trial and error evaluation and waveform analysis b. Boolean algebra and actual circuit trial and error evaluation c. Karnaugh mapping and circuit waveform analysis d. Karnaugh mapping and Boolean algebraSubject Digital Logic Design(DLD) Design the truth table for Full Subtractor Circuit. Write the Boolean expression for Difference andBorrow. Also Draw the circuit diagram for Difference and Borrow.