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Unformatted text preview: complement numbers. Perform the following operations and indicate whether overflow occurs: (2p) (a) A+B (2p) (b) AB (2p) Give the decimal values of A and B 5. A computer has a word length of 8 bits including sign. Convert decimal +61 and +24 to binary using the signed 2’s complement representation. Then perform the binary equivalent of (3p) (a) 2461 (3p) (b) 6124 (3p) (c) (24)+(61) Convert the answers back to decimal and verify that they are correct. 6. Using Venn diagrams, show that if A and B are sets, then (5p) (A’+B’)’ = AB (5p) X + XY = X (5p) 7. Suppose that a family of logic gates considers the output ranges of [0  0.2V] as “0” and [3.1V3.3V] as “1”. What are the reasonable input ranges for “0” and “1”? (a) “0”: [0.1 – 0.4V], “1”: [2.3V  3.3V]; (b) “0”: [00.3V], “1”: [2.8V  3.0V]; (c) “0” : [0  0.5V], “1”: [2.8V3.3V] What are the noise margins for the reasonable output ranges above?...
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 Winter '08
 M
 Binary numeral system, Decimal, word length

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