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Industry Segment Operations (Net Sales and Long-lived Assets) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Oct. 25, 2015
Jul. 26, 2015
Apr. 26, 2015
Jan. 25, 2015
Oct. 26, 2014
Jul. 27, 2014
Apr. 27, 2014
Jan. 26, 2014
Oct. 25, 2015
Oct. 26, 2014
Oct. 27, 2013
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales $ 2,368 $ 2,490 $ 2,442 $ 2,359 $ 2,264 $ 2,265 $ 2,353 $ 2,190 $ 9,659 $ 9,072 $ 7,509
Long-lived assets: 956       924       956 924  
United States                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 1,630 1,966 1,473
Long-lived assets: 705       636       705 636  
Taiwan                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 2,600 2,702 2,640
Long-lived assets: 39       34       39 34  
China                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 1,623 1,608 787
Long-lived assets: 46       61       46 61  
Korea                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 1,654 965 924
Long-lived assets: 12       12       12 12  
Japan                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 1,078 817 685
Long-lived assets: 6       5       6 5  
Europe                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 642 658 680
Long-lived assets: 75       99       75 99  
Southeast Asia                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 432 356 320
Long-lived assets: 73       77       73 77  
Total outside United States                      
Revenues from External Customers and Long-Lived Assets [Line Items]                      
Net Sales                 8,029 7,106 $ 6,036
Long-lived assets: $ 251       $ 288       $ 251 $ 288