2a) Design a logic circuits that has three inputs As,A2 and Ao and some select and enable inputs so that it functions according to the requirement given below: So Ao 1 As A2 Construct a 4X16 decoder using 3-to-8 Decoders. 1 2b)
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A: The solution can be achieved as follows.
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Q: 2) For each of the following expressions, construct the corresponding logic circuit using only AND…
A: The solution can be achieved as follows.
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- Given inputs ,AB, and C to hte logic circuit shown, darw hte waveform for the circuit output, Y.Determine the simplified Sum of Product expression of Q1 and Q2 from the table using a K-Map, then draw the simplified logic diagram. SHOW KMAP WITH THE FINAL EXPRESSION & LOGIC DIAGRAMGiven a sequential logic circuit expression asX(t+1) = p'X+pYY(t+1) = pX'+p'Ywhere X and Y are the two flip-flop outputs and p is the main external input.Draw the state transition table for the above-given logic function.Also, draw the state transition diagram associated with it.And What is the behavior of the circuit?
- Minimize the following Equation by using Karnaugh Map, then draw the final Logic Circuit of the minimized equation. . Y (A, B, C, D) = {(0,1,4,5,6,7,8,9A 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.Design a 4-bit Asynchronous forward counter circuit using JK Flip-Flops. Make a logic circuit add-on to the counter that will continue to operate according to an input selection terminal that can operate in Mode-5 or, if desired, Mode-10.
- 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.Design a digital logic circuit using only NAND gates for the logic expressiongiven by: F=A.(B +C)Design a combinational logic circuit which has one output Z and a 4-bit input ABCD representing a binary number. Z should be 1 iff the input is at least 5, but is no greater than 11. Use one OR gate (three inputs) and three AND gates (with no more than three inputs each.)
- Examine the circuit given below. Write the expression for outputs Q1, Q2, and Q. Clearly indicate which logic gate Q output is using Boolean Algebra and write the name of this logic gate.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.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.