Solving Boolean Algebra Expression: Y=ABCD-ABD

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Discussion Overview

The discussion revolves around simplifying a Boolean algebra expression, specifically Y = ABCD - ABD. Participants explore the validity of the expression and potential errors in the textbook provided.

Discussion Character

  • Homework-related, Debate/contested

Main Points Raised

  • One participant attempts to simplify the expression Y = ABCD - ABD and arrives at Y = -ABD, questioning the correctness of their solution against a textbook answer of ABD.
  • Another participant suggests that there may be a typo in the textbook, noting frequent errors in their own coursework.
  • A third participant emphasizes that subtraction is not a valid operation in Boolean algebra, proposing that the expression might need to be interpreted differently, possibly as Y = ABCD + ABD.
  • A later reply indicates a possible misinterpretation of the original expression, suggesting it should be Y = ABD - ABCD instead.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the correctness of the original expression and its simplification. There is no consensus on whether the expression contains a typo or how to interpret the operations involved.

Contextual Notes

Participants note the limitations of Boolean algebra operations, specifically the inapplicability of subtraction and the potential for misprints in the textbook.

Amith2006
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Homework Statement



1) Simplify the following Boolean expression:
Y = ABCD – ABD


Homework Equations





The Attempt at a Solution



I simplified it in the following way:
Y = ABCD – ABD. (C + 1)
= - ABD
But the answer given in my book is ABD.
 
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Typos are possible

Could be a typo in the back of the book. In my Discrete Math we are finding almost 20 errors per section. =o) Contact your teacher?
 
Could you specify which textbook and which page? Thanks.

Boolean algebra deals solely in ones and zeroes. It has only three operators: addition, multiplication and negation. There can be no negative numbers. Namely, -1 is not an allowed number, so the concept of subtraction is meaningless is Boolean algebra.

Having said that, Y= ABCD – ABD has either a misprint – instead of +. In this case,
Y= ABCD + ABD = ABD(C+1)=ABD(1)=ABD

Or, possibly, – is given some special meaning.
 
Sorry for the delayed reply. I was busy with my exams. It is a book by an Indian author. Basic Electronics by B.L.Theraja. I think u r right.The question should have been,
Y = ABD - ABCD
Isn't it?
 

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