2.11 List the truth table of the function: (a)* F = xy + xy' + y'z (b) F = x'z' + yz

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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2.11 List the truth table of the function:
(a) F = xy+ xy' +y'z
(b) F = x'z' + yz
2.12 We can perform logical operations on strings of bits by considering each pair of corresponding
bits separately (called bitwise operation). Given two eight-bit strings A 10110001 and
B = 10101100, evaluate the eight-bit result after the following logical operations: (a)* AND,
(b) OR, (c)* XOR, (d)* NOT A, (e) NOT B.
2.17 Obtain the truth table of the following functions, and express each function in sum-of-minterms
and product-of-maxterms form:
(a) (xy + :)(y + xz)
(c) x'z + wx'y + wyz' + w'y'
(b) (x + y')(y' + :)
(d) (xy + yz' + x'z)(x + z)
2.18 For the Boolean function
F = xy'z + x'y'z + w'xy + wx'y + wxy
(a) Obtain the truth table of F.
(b) Draw the logic diagram, using the original Boolean expression.
(c Use Boolean algebra to simplify the function to a minimum number of literals.
(d) Obtain the truth table of the function from the simplified expression and show that it is the
same as the one in part (a).
(e) Draw the logic diagram from the simplified expression, and compare the total number of
gates with the diagram of part (b).
Transcribed Image Text:2.11 List the truth table of the function: (a) F = xy+ xy' +y'z (b) F = x'z' + yz 2.12 We can perform logical operations on strings of bits by considering each pair of corresponding bits separately (called bitwise operation). Given two eight-bit strings A 10110001 and B = 10101100, evaluate the eight-bit result after the following logical operations: (a)* AND, (b) OR, (c)* XOR, (d)* NOT A, (e) NOT B. 2.17 Obtain the truth table of the following functions, and express each function in sum-of-minterms and product-of-maxterms form: (a) (xy + :)(y + xz) (c) x'z + wx'y + wyz' + w'y' (b) (x + y')(y' + :) (d) (xy + yz' + x'z)(x + z) 2.18 For the Boolean function F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of F. (b) Draw the logic diagram, using the original Boolean expression. (c Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
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