**12.27** For each value of \( N \), there exists an exclusive-OR circuit for the linear shift register counter of Figure 12-13 so that the counter cycles through \( 2^N - 1 \) counts.(a) For \( N = 3 \), construct the transition graph for the counter if \( S_{\text{in}} = Q_2 \oplus Q_1 \). (The shift register stages are numbered \( Q_0, Q_1, Q_2 \) from left to right.)(b) For \( N = 4 \), find an exclusive-OR circuit so that the counter cycles through 15 counts. **FIGURE 12-13** **General Shift Register Counter** © Cengage Learning 2014**Diagram Explanation:**The diagram illustrates a general shift register counter, highlighting its main components and their interactions.- **N-Bit Shift Register:** This is the main component of the counter which holds and shifts the bits. It receives input serially and shifts the bits according to the clock (Clk) pulses.- **SI (Serial Input):** This is the input line where bits are fed into the shift register.- **Clk (Clock):** The clock signal input that controls the timing of the shifts in the register.- **Gate Logic:** This component processes the output (N) from the shift register. It performs a logical operation that determines the next state of the system or provides additional outputs.- **N (Output/Feedback):** This line carries the output from the shift register to the Gate Logic, creating a feedback loop that is essential for counting or other sequential operations.The diagram forms a closed loop indicating continuous operation where the output can influence future states of the shift register through the gate logic.

12.27 For each value of N, there exists an exclusive-OR circuit for the linear shift register counter of Figure 12-13 so that the counter cycles through 2N – 1 counts. (a) For N = 3, construct the transition graph for the counter if Sin = Q2e Q1- (The shift register stages are numbered Qo, Q1, Q2 from left to right.) (b) For N = 4, find an exclusive-OR circuit so that the counter cycles through 15 %3D counts.

12.27 For each value of N, there exists an exclusive-OR circuit for the linear shift register counter of Figure 12-13 so that the counter cycles through 2N – 1 counts. (a) For N = 3, construct the transition graph for the counter if Sin = Q2e Q1- (The shift register stages are numbered Qo, Q1, Q2 from left to right.) (b) For N = 4, find an exclusive-OR circuit so that the counter cycles through 15 %3D counts.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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