6. i) For the circuit shown in Figure Q16, Find the logic functions of X and Y Figure Q16 ii) Simplify X and Y using Boolean algebra.
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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Q16. i) For the circuit shown in Figure Q16, Find the logic functions of X and Y Figure Q16 ii)…
A: So we have to find expression of x and y and simplify it.
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Q: In your own words, what is a logic circuit?
A: As per Bartleby guidelines we are allowed to solve only one question, please ask the rest again.
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- Consider two binary numbers where the first is made of three bits whichcan be represented by X, Y, and Z, while the second is two bits and isrepresented by A and B. Design a logic circuit that multiplies X Y Z timesA B, using two half adders, one full adder in addition to AND gates.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.(a) Differentiate comparatively the analogue and digital representations. (b) If 33210= Xs then find the value of X. (c)1001011.0112 to equivalent decimal (d) What do you know about the logic gates? Explain the AND gate in details. 410 A
- 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 stagCreate the logic diagram of the two bits full adderQ (A, B, C) = A̅ .B̅. C + A̅ .B. C + A .B. Obtain the function given as C̅ + A.B.C, simplified by 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 circuit with logic gates that tell us if a number less than 10, codedin binary, it is either prime (1) or not (0). Minimum up to 16 combinations.True tableII. Boolean functionIII. Simplification procedure by any of the methodsa. Construct a Karnaugh map for the logic function D=ABC+ A ¯ BC+AB C ¯ +BC b. Find the minimum SOP expression and realize the function, using AND, OR, and NOT gates. c. Find the minimum POS expression and realize the function, using AND, OR, and NOT gates.1. Design a 16 - to - 1 multiplexer using 4- to-1 multiplexer. 2. Using K- Map, simplify the following Boolean expression : Y = Σ (1,3,5,7,9,10,11,13,14,) 3. Build the logic circuit for the following function using Programmable Logic Array (PLA). ?? = ??? + ??? + ??? + ??? ?? = ??? + ??? + ??? + ???
- Design 2 bits counter that count down by using T flip flop when input x =1 and counts upwhen x=0. Find the following1. Derive the state table2. Derive the K‐map simplifications.3. Draw the logic diagramUsing Boolean algebra theorems, simplify the logic expression above as far as possible. Create a Circuit Diagram for the new expression Then create a truthtable for the simplified circuitQ (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.