Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Examine the validity of Equations 9.1 by applying them to the last two columns in Table 9.1.

Examine the validity of Equations 9.1 by applying them to the last two columns in Table 9.1.

Introductory Circuit Analysis (13th Edition)
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...
See similar textbooks
icon
Related questions
Question
MECT361 Mechatronics Components and Instrumentation Please solve the problem in keupord
CHAPTER 9 Sensors Table 9.1 4-bit gray and natural binary codes Natural binary code (B,B,B, B,) Gray code Decimal Code Rotation Range () (G,G,G,G,) 0-22.5 0000 0000 22.5-45 0001 0001 45-67.5 0010 0011 67.5-90 0011 0010 90-112.5 0100 0110 112.5-135 135-157.5 0101 011 0110 0101 157.5-180 0111 0100 180-202.5 1000 1100 9 202.5-225 1001 1101 225-247.5 24 7.5–270 10 1010 1111 11 1011 1110 12 270-292.5 1100 1010 13 292.5–315 1101 1011 14 315-337.5 1110 1001 15 337.5–360 1111 1000 MSB O8. LSB Figure 9.15 Gray-code-to-binary-code conversion. function. The Boolean expressions that relate the binary bits (B,) to the gray code bits (G.) are B3 = G; Bz = B, ® G, B, = B; © G, (9.1) B, = B, © G, For a gray-code-to-binary-code conversion of any number of bits N (e.g., N = 4 as previously), the most significant bits of the binary and gray codes are always identi- cal (By- = Gy-1), and for each other bit, the binary bit is the XOR combination: B, = B,,e G, for i = 0 to N - 2. This pattern can be easily seen in the 4-bit example above (Equations 9.1).
Transcribed Image Text:CHAPTER 9 Sensors Table 9.1 4-bit gray and natural binary codes Natural binary code (B,B,B, B,) Gray code Decimal Code Rotation Range () (G,G,G,G,) 0-22.5 0000 0000 22.5-45 0001 0001 45-67.5 0010 0011 67.5-90 0011 0010 90-112.5 0100 0110 112.5-135 135-157.5 0101 011 0110 0101 157.5-180 0111 0100 180-202.5 1000 1100 9 202.5-225 1001 1101 225-247.5 24 7.5–270 10 1010 1111 11 1011 1110 12 270-292.5 1100 1010 13 292.5–315 1101 1011 14 315-337.5 1110 1001 15 337.5–360 1111 1000 MSB O8. LSB Figure 9.15 Gray-code-to-binary-code conversion. function. The Boolean expressions that relate the binary bits (B,) to the gray code bits (G.) are B3 = G; Bz = B, ® G, B, = B; © G, (9.1) B, = B, © G, For a gray-code-to-binary-code conversion of any number of bits N (e.g., N = 4 as previously), the most significant bits of the binary and gray codes are always identi- cal (By- = Gy-1), and for each other bit, the binary bit is the XOR combination: B, = B,,e G, for i = 0 to N - 2. This pattern can be easily seen in the 4-bit example above (Equations 9.1).
I CLASS DISCUSSION ITEM 9.5 Gray-to-Binary-Code Conversion Examine the validity of Equations 9.1 by applying them to the last two columns in Table 9.1.
Transcribed Image Text:I CLASS DISCUSSION ITEM 9.5 Gray-to-Binary-Code Conversion Examine the validity of Equations 9.1 by applying them to the last two columns in Table 9.1.
Expert Solution
steps

Step by step

Solved in 6 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Diode-Transistor Logic Circuit
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS