Implement the Boolean function F = xy + x ′ y ′ + y ′ z. With NAND and inverter gates.
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Implement the Boolean function F = xy + x ′ y ′ + y ′ z. With NAND and inverter gates.
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- 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.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 5With the following functions use a 4:1 multiplexer(mux) and minimum number of extra gates. Remember that to create the inverse of an input variable (i.e., A’, B’, etc.), you need to use an inverter. Hint:remember that you may need to try different variables on the select lines (i.e., A and B, or B and C, or A and C) to find the solution with the minimum number of extra gates. Implement each of the functions from from the above question using a 2:1 multiplexer(mux) and a minimumnumber of extra gates. Hint:remember that you may need to try different variables (i.e., A or B or C) on the select line to find the solutionwith the minimum number of extra gates. please explain in detail with a truth table as well as the schematics using a MUX.
- Design a 6-bit ripple carry adder. Experimentally find out the sum of 110011 and 111001. Construct your entire schematic diagram and label all necessary pins and simulate for results.(b) For a gated S-R latch. determine the Q output for the inputs in the following Figure. Show it in proper relation to the enable input, also draw the input waveforms on your answer script. Assume that Q starts LOW. EN S R Minimize the combinational logic circuit in the following figure using Karnaugh's map only. Inverters for the complemented variables are not shown. Q2.3. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z) = xy + yz + zx d. Using NAND logic gates, implement the logic function: F(x, y, z) = xy + yz + zx
- 2. a. Assume a 10 bit binary number “0110010111" is stored in a memory. What is its content if it represents i BCD code i1. Excess-3 code iii. 84-2 -1 codeExclusive OR (XOR) and Exclusive NOR (XNOR) gates can be used a. as parity generators b. as parity checkers c. as comparators d. as controlled inverters e. as all of the given answersWe 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?
- 1. Floating Point Numbersa. Show the difference between IEEE 16, 32, 64, 128-bit floating-point numbers.b. Express the following numbers in hexadecimal IEEE 32-bit floating-pointformat. i. 320ii. -622. Design a circuit that implements function p below using AND, OR, and NOT gates.DO NOT change the form of the equation. ?(?0, ?1, ?2, ) = {?2(?0?1 + ?̅0?̅1)}. (?̅2 + ?̅1)4. Show how the unsigned serial multiplication method would compute M × Q where M = 10110and Q = 01101. M and Q are unsigned numbers. For each step, describe in words what is happening (shift left, shift right, add/subtract M or Q into product, set a bit, etc.), and showthe product (or partial product) for that step. (Note: Q is the multiplier and M is themultiplicand.)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.