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.
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
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F756bb6af-597e-47da-9902-dc67cb35fa89%2F0942f43c-867a-4197-9586-3b6bb8ccbea9%2Fzh3lblwu_processed.jpeg&w=3840&q=75)
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.
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