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Boolean Algebra

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Published in: Computer Science
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Basic Definitions About Operations Involved in Boolean Algebra.

Gaurav / Delhi

7 years of teaching experience

Qualification: B.Tech/B.E. (GGSIPU - 2007)

Teaches: Algebra, Computer Science, Mathematics, Physics, BCA Tuition, Electronics, IT, Computer, Electrical, Counting Skills, Writing Skills, Basic Computer, Coding & Programming, Science Projects, BCA Subjects, Networking

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  1. Digital Logic
  2. Logic ' Ability to identify a signal as having a certain value ' When values are restricted to just two i.e. O and 1 we call it Digital Signal ' In terms of electronics circuits, we identify them in terms of voltage ' A voltage of max level is termed as 1 or high ' A voltage of ground level is termed as O or low
  3. Boolean Algebra / Digital Gates ' Based on these two signal levels ' Similar to Math algebra ' Four main operations AND OR XOR NOT ' Implemented using Digital Gates i.e. Transistor circuits designed to fulfil the conditions of operations above
  4. AND ' Product of signals ' All input signals should be high for output to be high 'AANDB:A.B
  5. ' Sum of signals ' Atleast one input signals should be high for output to be high 'AORB:A+B
  6. NOT ' Inverse of signals ' Input signals is inverted at the output ' Not A. A o 1 NOT A 1
  7. XOR ' Exclusive OR of signals ' Only one of the input signals should be high for output to be high 'AXORB:AB AOB