8. Consider the table below. A, B, C represent logic-variable input signals. F is an output. ABCF 0000 a) Using the product-of-sums approach, write a Boolean expression for F b) Repeat using sum-of-products. 0010 0101 0110 1000 10 011 1100 1111
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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.Q (A, B, C) = A' .B'. C +A' .B. C + A.B.C' + A.B.C Obtain the simplified function with the Karnaugh Map method in terms of minterms and maxters separately. Set the output functions separately with logic gates with ANDNOT for minterms and ORNOT for maxterms.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
- An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.This question is from the subject Digital Logic Design. Q2. Two Boolean functions are represented in the following truth table.a) Represent the function F1 and F2 in Some of Min-terms (SOM).b) Simplify both functions as Some of Products (SOP).Up/Down State Machine Cousider a state machine implementation of a two bit up/down counter mput: up/doun, and two outputs: Outo and Out,, which also indicate the next state. When up/dowTI is high, the counter counts up (00,01,10,11,00, ). When up/doun is low, the counter counts down (00,11.10.01.00, ..). The state machine has one Part A Complete the state diagram below by adding all required transition arcs with input annotations. Output annotations are not required since they correspond to the new state. state state 00 01 state state 10 11
- Q (A, B, C) = A̅ .B̅. C +A̅ .B. C + A .B. C̅ + A.B.C Karnaugh function given in the form Using the mapping method, you can use the simplified function separately in terms of minterms and maxters. obtain. Output functions with AND NOT for minterms and OR for maxters. Install separately with logic doors.Find the minimum output expression for circuit of figure below and draw logic circuit. A BYou want to design an arithmetic comparison combined logic circuit. (a) List the steps that you will apply in the design approach. Design a 4-bit comparison (greater-equal-small) circuit. Explain each step. With AND, OR, NOT gates implement. b) measure the two numbers you designed in the cercuit then talk about the result.
- 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.Q (A, B, C) = A' .B'. C +A' .B. C + A.B.C' + A.B.C Obtain the simplified function with the Karnaugh Map method in terms of minterms and maxters separately. Set the output functions separately with logic gates with AND NOT for minterms and OR for maxima.Design a digital circuit that performs the four logic operations of exclusiveOR, exclusive-NOR, NOR, andNAND. Use two selection variables. Show the logic diagram of one typical stage.