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A: It is given that:
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- Question 3: a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make a 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a half adder, and design the circuit using only two gates. Then design a circuit which will find the 2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint: Recall that one way to find the 2's complement of a binary number is to complement all bits, and then add 1.)We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?Write the expression for the logic circuit given in the figure as the sum of products. Simplify the expression obtained by applying Boolean Algebra theorems and axioms. Retrieve the capitalized expression using AND NOT (NAND) gates, with no restrictions on the number of entries.
- Design a circuit called half adder (HA) which adds two 1-bit numbers, a,b and produces 2-bit output, c. a. Draw the truth table of the circuit.b. Find the Boolean functions of each bit of the output.c. Optimize the Boolean functions.d. Draw the logic diagram of the optimized circuits.e. Write the VHDL code of the logic diagrams by using “Dataflow modeling” method f. Simulate the circuits that you have designed in 1.e. Prepare a simulation waveform for you report.g. Produce the RTL schematic for the circuit that you have designed in 1.e.1) If the sum of the 2-bit "AB" numbers and the 2-bit "CD" numbers is not odd, the logic circuit (logic circuit) that outputs "0", if odd, outputs "1", using the Karnaugh Method and according to SOP (minterms) Design and draw the circuit. Leave the circuit as derived from Karnaugh, ie do not simplify any further.parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.
- 5- Determine an alternative method for implement the full-adder. Hint: Write the expressions of the circuit and simplify using icarnaugh map.Then implement using AND-OR gates. 6- Design a logic cct using NAND gate and convert BCD code to Excess-3code.An equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.a) Create a 4 Variable Karnaugh Map in paper by mapping 1’s for given standard SOP Boolean expression. After mapping , make relevant groups within Karnaugh Map by considering rules for making groups for 4 variable Karnaugh Map. After making relevant grouping , extract the minimum SOP expression by considering rules for extracting minimum SOP using Karnaugh Map. * Standard SOP: *Create Circuit Diagram using logic gates and logic converter in Multisim for given standard SOP and minimum SOP which you have solved. Do make sure that truth table for both expressions should evaluate same result.
- 6. F in the blanks in the truth table of the given digital circuit NOT Use fer NOT gate egX. Use paranthesis only for combining two logic gates OR and AND e ZOX+Y) er (Y+Z).OX+Y) You can use either XY or X.Y for AND gate. Write the letters in alphabetic orders: eg XY, not YX 1 5Design a combinational circuit with four inputs and one output. The output is 1, when the binary value of the input is less than or equal to 3, the output is zero otherwise. The output is 1 when the binary value of the input is a prime number greater than 9.a) Obtain the truth table.b) Find the simplified output function in sum of products. c) Draw the logic diagram using NOR gates only. ……Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and th