Boolean Algebra, Finding subscript for P and S

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SUMMARY

The discussion focuses on identifying the equivalent binary numbers for the P term and S terms in Boolean algebra, specifically using the example P?=AB'CD'. The participant successfully determined that P?=AB'CD'=1010 corresponds to the decimal value 11 by creating a truth table. The method of converting binary to decimal using the positional values (8421) was confirmed as effective for finding the subscript of P.

PREREQUISITES
  • Understanding of Boolean algebra concepts
  • Familiarity with binary number representation
  • Knowledge of truth tables and their construction
  • Ability to convert binary numbers to decimal
NEXT STEPS
  • Study Boolean algebra simplification techniques
  • Learn about Karnaugh maps for minimizing Boolean expressions
  • Explore digital logic design principles
  • Investigate software tools for automating truth table generation
USEFUL FOR

Students studying digital logic design, educators teaching Boolean algebra, and anyone involved in computer science or electrical engineering looking to deepen their understanding of binary number systems.

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Homework Statement


Identify the equivalent binary numbers of the following P term and S terms( which are the subscripts of P's and S's)
Ex:
P?=AB'CD'


Homework Equations


No equations that I know of


The Attempt at a Solution



I create an table to find the subscripts for P and S but some of the questions of 6 digit which will take forever to make a table for.
My questions is, is there a shorter way??

P?=AB'CD'=1010=P11 <---Found the subscript by making a table
 
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I found the Answer!

so P?=AB'CD'=1010

1010 corresponds to

8421
1010 Sooo 1(8)+0(4)+1(2)+0(1)=11

so the subscript of P is 11
 

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