Transcription of CHAPTER III BOOLEAN ALGEBRA - gatech.edu
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Dansereau; TO COMP. III-1 BOOLEAN ALGEBRA CHAPTER IIICHAPTER IIIBOOLEAN Dansereau; TO COMP. III-2 BOOLEAN VALUESINTRODUCTIONBOOLEAN ALGEBRA BOOLEAN VALUES BOOLEAN ALGEBRA is a form of ALGEBRA that deals with single digit binary values and variables. Values and variables can indicate some of the following binary pairs of values: ON / OFF TRUE / FALSE HIGH / LOW CLOSED / OPEN 1 / Dansereau; TO COMP. III-3 BOOL. OPERATIONSFUNDAMENTAL OPERATORSBOOLEAN ALGEBRA BOOLEAN VALUES-INTRODUCTION Three fundamental operators in BOOLEAN ALGEBRA NOT: unary operator that complements represented as , , or AND: binary operator which performs logical multiplication ANDed with would be represented as or OR: binary operator which performs logical addition ORed with would be represented as AA A ABABAB ABAB+AB001101010001AB001101010111A0110 AABA B+ Dansereau; TO COMP. III-4 BOOL. OPERATIONSBINARY BOOLEAN OPERATORSBOOLEAN ALGEBRA BOOLEAN OPERATIONS-FUNDAMENTAL OPER.
R.M. Dansereau; v.1.0 INTRO. TO COMP. ENG. CHAPTER III-14 STANDARD FORMS SUM OF MINTERMS BOOLEAN ALGEBRA •BOOLEAN ALGEBRA •STANDARD FORMS-SOP AND POS-MINTERMS • Sum-of-minterms standard form expresses the Boolean or switching expression in the form of a sum of products using minterms. • For instance, the following …
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