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Income Taxes (Details Textual) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Jan. 26, 2014
Jan. 27, 2013
Income Tax Disclosure [Abstract]    
Effective income tax rate provision 19.70% (88.90%)
Benefit resulting from the resolution of prior years’ income tax filings   $ 11
Benefit from the reinstatement of the U.S. federal research and development tax credit   10
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit $ 127