Code No. 7072
FACULTY OF SCIENCE
B.Sc. (CBCS) III - Semester Examination, December 2017
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Subject: COMPUTER SCIENCE
Paper - III (SEC-I)
B: Boolean Algebra
Time: 1 ½ hours Max. Marks: 40
Answer all questions from Part-A and Part-B
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Part - A (2 X 5 = 10 Marks)
(Short Answer Type)
- a) Convert the decimal numbers 231 and 763 to binary numbers.
OR
b) State and prove the DeMorgan's laws using truth tables. - a) Explain the Exclusive-OR and equivalence operations.
OR
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b) Find the min-term expansion of f(a,b,c,d) = a'(b' + d)+acd'.
Part - B (2 X 15 = 30 Marks)
(Essay Answer Type)
- a) i) Explain the addition of 2's complement binary numbers with example.
ii) Write the gray codes and Excess-3 codes for decimal digits 0 to 9.OR
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b) i) Explain the basic operations of Boolean algebra with truth table and symbols.
ii) Simplify the following expressions using basic Boolean identities: A'B'C+(A'B'C) and (A'B + CD')(A'B+CE) - a) Explain the algebraic simplification of switching expressions and prove the validity of an equation with suitable examples.
OR
b) Explain the design and implementation of full adder.
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