Question 1 (a) Minimise the following Boolean expressions using Boolean algebra or Karnaugh maps, and draw the logic circuit for each minimised expression: (i) A.B.C + A.B.C + A.B.C + A.B.C + A.B.C A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.D+ A.B.C.D + A.B.C.D (iii) A+ A.B + A.C (b) Explain, with the aid of a truth table, the operation of an 8-to-3 bit encoder and derive Boolean expressions of the output of the encoder.

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
icon
Related questions
Question
Please could I have the solutions for this question. Thank you very much.
Question 1
(a) Minimise the following Boolean expressions using Boolean algebra or
Karnaugh maps, and draw the logic circuit for each minimised expression:
(i)
A.B.C + A.B.C+Ā. B. Ñ + A. B. Ñ + A.B.C
(ii)
A.B.C.D + A.B.C.D+ A.B.C.D + A.B.C.D+Ā.B.C.D +
A.B.C.D
(iii)
A+ A.B + A.C
(b) Explain, with the aid of a truth table, the operation of an 8-to-3 bit encoder and
derive Boolean expressions of the output of the encoder.
Transcribed Image Text:Question 1 (a) Minimise the following Boolean expressions using Boolean algebra or Karnaugh maps, and draw the logic circuit for each minimised expression: (i) A.B.C + A.B.C+Ā. B. Ñ + A. B. Ñ + A.B.C (ii) A.B.C.D + A.B.C.D+ A.B.C.D + A.B.C.D+Ā.B.C.D + A.B.C.D (iii) A+ A.B + A.C (b) Explain, with the aid of a truth table, the operation of an 8-to-3 bit encoder and derive Boolean expressions of the output of the encoder.
Expert Solution
steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Knowledge Booster
Fundamentals of Boolean Algebra and Digital Logics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education