Don't use ai to answer •Design a sequence recognizer, using a minimum number of D-flipflops, that can detect thesequence "1001". The recognizer circuit has only one input (X) where one bit of input is suppliedon every clock cycle. There is one output (Y) that becomes "1" when the desired pattern isdetected. Make sure to include all design steps such as the state diagram, state table, K-maps,and Boolean expressions.The following example that shows the detection of the desired bit pattern "1001":Input (X):11100110100100110 ...Output (Y): 00000100000100100... (Y becomes 1 when the pattern is detected)Note:⚫ If the solution produces correct results but doesn't use a minimum number of D Flip-Flops, youwill lose 1/3 of the total weight (i.e., 5 points deduction).• If the solution doesn't produce correct results, the deduction will be based on multiple factorsincluding the procedure, number of correct steps, etc.

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Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Draw the state diagram, state table and ASM chart for a sequence detector to detect the sequences 1111 and 0000. It has to output al when the sequence is detected. Overlapping is not permitted.
3. a) Draw the complete Moore Model state diagram for a sequence recognizer with input x which is a serial input of l's and 0's. It has 1 output z. z=1 iff the last 3 digits on the input are 0 10 AND must NOT overlap previously recognized sequence. A sample input / output might look like this: X= 10 10 1 0 1 0 0 0 1 0 0 1 0 1... Z= 0 0 0 10 0 0 1 0 0 0 1 0 0 1 0... b) Draw the corresponding Moore state table for the state diagram in part a).
Design a Mealy-type FSM that detects a sequence of four or more consecutive 1's in a string of bits coming through an input line. Draw out the state diagram, the state table, and state-assigned table; then, synthesize the circuit. An example of the desired behavior is: w: 0011110111110 z: 0000010000110
Draw block diagrams to implement a 4 to 1 with 4 bits multiplexer. The data input lines are 4 bits wide. Please decide how many selects do you need. And write the final equation for inputs and output in both your report and block diagram. Do the simulation and save the screenshot into your report.
Write the Boolean algebra expressions and simplify using Karnaugh map for the following table of combinations, where A, B and C are inputs and X, Y are outputs. Draw the schematics, compile and simulate the circuit using Altera Quartus software. Turn in the schematics and the waveform simulation diagram of the design (snapshots copied in PowerPoint or Word and saved as PDF files, no jpeg or other picture files). A C Y 1 1 1 1 1 0. 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2. Design a circuit to implement the following pair of Boolean equations: F = A(CE' + DE) + A'D G = B(CE' + DE) + B'C To simplify drawing the schematic, the circuit is to use a hierarchy based on the factoring shown in the equation. Three instances (copies) of a single hierarchical circuit component made up of two AND gates, and OR gate, and an inverter are to be used. Draw the logic diagram for the hierarchical component and for the overall circuit diagram using a symbol for the hierarchical component.
Assume we are writing a testbench for a sequential circuit that has three control inputs (cA, cB, cC) and a periodic clock (clk). If we define CLK_PERIOD as a localparameter with a value of 50 (nsec), write the testbench segment that would ensure all possible combinations of the control inputs were tested on a clock rising edge. This is can be done more elegantly if you define each time step in terms of the constant CLK_PERIOD. Your answer should include the statements that define clk, cA, cB, and cC over time. Hint: think of how you would show all combinations of three variables on a truth table and replicate that over time, where each combination is held over a timespan with a clock triggering edge.
In designing a circuit for the counter that detects two or more consecutive 1's in a string of input bits stream (x) using JK Flip-Flops, if states are named as A and B, then A(t+1) and B(t+1) can be expressed as ......... Oa. A(t+1) = m(3, 5); d(1) and B(t+1) = m(5); d(1) O b. A(t+1) = m(3, 5); d(6, 7) and B(t+1) = m(1); d(6, 7) O c. A(t+1) = m(5); d(1) and B(t+1) = m(3, 5); d(1) O d. A(t+1) = m(3, 5); d(1) and B(t+1) = m(3, 5); d(1)
Q1: Design a Moore FSM to detect if an input sequence is divisible by 5. Each cycle a new bit comes as input towards LSB (e.g. if the current sequence is '1011' and the input is '0', the new sequence is '10110'). The FSM outputs a logic 1 if the sequence is divisible by 5, otherwise it outputs a logic 0. The starting point for the state diagram and a description of what the state does is depicted below. And assume initially the system is in state S0. a) Draw the Moore state diagram for this FSM using a minimum number of states. b) Draw the excitation table for the states. Define the states in order; e.g. S0 = 000, S1 = 001 etc. c) Write the minimum SOP Expression for all the bits of the states and the output 'O'. I: 0 so All 0 S1 Remainder 1
Design a 4:1 MUX in multiple ways: a) Using basic gates b) Using tri-state logic c) Using 2:1 MUXes as building blocks as much as possible For each design, write a Verilog implementation and simulate the behavior. Your testbench should exercise all possible combinations of the inputs and selection values.
determined as X₁ Do X2 X3 AND plane O a. f2(X1,X2,X3) = X2'X3' + X1X2 O b. f2(X1,X2,X3) = X1'X2'X3 + X1X2 O c. f2(X1,X2,X3) = X2'X3 + X1X2 O d. f2(X1,X2,X3) = X1'X2'X3' + X1X2 P₁ P₂ P3 P4 f₁ ONSTIVAL OR plane f2
1. Implement the encoder truth table in logical circuit diagram (with the help of logic gates).

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