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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 4) (USD $)
In Millions, unless otherwise specified
3 Months Ended 6 Months Ended
Apr. 29, 2012
May 01, 2011
Apr. 29, 2012
May 01, 2011
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total share-based compensation $ 43 $ 38 $ 96 $ 72
Cost of products sold [Member]
       
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total share-based compensation 14 13 27 24
Research, development and engineering [Member]
       
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total share-based compensation 13 12 26 22
Selling, general and administrative [Member]
       
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]        
Total share-based compensation $ 16 $ 13 $ 43 $ 26