Identify the Boolean rule(s) on which each of the following equalities is based
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
EBK DIGITAL FUNDAMENTALS
Additional Engineering Textbook Solutions
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
Java How To Program (Early Objects)
Starting Out With Visual Basic (7th Edition)
Starting Out with Python (3rd Edition)
C++ How to Program (10th Edition)
- Draw the logic diagram corresponding to the following Booleanexpressions without simplifying them: B C ′ + A B C + A C D + B D ( A + B ) ( C + D ) ( A ′ + B + D )arrow_forwardUsing the laws of boolean algebra simplify these expressions and LIST the laws used to justify each step. . Each final result should be expressed as a sum of products of literals, where each product uses the smallest number of literals. a. ABC + ABC’ + A’C + A’B’C + AB’C b. A'B' + A'BC' + (A + C')' c. A' + A'B'CD' + A'B'C'D' + AB'C' + AB'CD' + ABD + BC'Darrow_forwardSimplify these Boolean expressions as much as possible: a) ((A+D)'(C'+B')'+C)' b) A'B+CA'D+B'+D' c) (A+(AB)'+C(AB)')(A+BA'+B')arrow_forward
- Question 6 Computer Science Simplify the following Boolean Algebra expression using Boolean Identities (where ' means "not") (A+B+C+D')(E+A)(E'+B+C+D')arrow_forwardSimplifies the following Boolean algebraic expressions. ABC (ABC’ + AB’C + A’BC) XY (X’YZ’ + XY’Z’ + X’Y’Z’) XY + XYZ’ + XYZ’ + XYZarrow_forwardI really need help answering these questions pls 1. A variable is a symbol in Boolean algebra used to represent(a) data (b) a condition(c) an action (d) answers (a), (b), and (c) 2. The Boolean expression A + B + C is(a) a sum term (b) a literal term(c) an inverse term (d) a product term 3. The Boolean expression ABCD is(a) a sum term (b) a literal term(c) an inverse term (d) a product term 4. The domain of the expression ABCD + AB + CD + B is(a) A and D (b) B only(c) A, B, C, and D (d) none of these 5. According to the associative law of addition,(a) A + B = B + A (b) A = A + A(c) (A + B) + C = A + (B + C ) (d) A + 0 = A 6. According to commutative law of multiplication,(a) AB = BA (b) A = AA(c) (AB)C = A(BC ) (d) A0 = A 7. According to the distributive law,(a) A(B + C) = AB + AC (b) A(BC) = ABC(c) A(A + 1) = A (d) A + AB = A 8. Which one of the following is not a valid rule of Boolean algebra?(a) A + 1 = 1 (b) A = A(c) AA = A (d) A + 0 = A 9. Which of the following rules states that…arrow_forward
- digital logic Give three possible ways to express the following Boolean function with eight or fewer literals:F = A’BC’D + AB’CD + A’B’C’+ ACD’arrow_forwardDraw the logic diagram corresponding to the following Boolean expressions without simplifying them: B C ′ + A B C + A C D + B Darrow_forwardConstruct a truth table based on the following Boolean expressions below: F = AB'C + ABC' + A'BC + AB'C' + A'B'C + A'BC'arrow_forward
- Computer science Obtain the Dual of the following boolean expressions. (i) AB +A(B+C)+ B'(B + D) (ii) A+B+ A'B'C (iii) A'B + A'BC' +A'BCD + A'BC'D'Earrow_forward4. Simplify the following Boolean expressions, using four-variable K-maps: (a) A′B′C′D′+AC′D′+B′CD′+A′BCD+BC′D (b) w′z+xz+x′y+wx′zarrow_forwardSimplify the following expressions using Boolean Algebra:Z = (C + D)’ + A’ C D’ + A B’ C’ + A’ B ‘C D + A C D’arrow_forward
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education