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Fair Value Measurements (Details) - Recurring fair value measurements - USD ($)
$ in Millions
Apr. 29, 2018
Oct. 29, 2017
Assets:    
Investment securities $ 5,018 $ 6,999
Money market funds    
Assets:    
Investment securities 1,894 2,658
U.S. Treasury and agency securities    
Assets:    
Investment securities 192 681
Non-U.S. government securities    
Assets:    
Investment securities 129 216
Municipal securities    
Assets:    
Investment securities 1,186 1,348
Commercial paper, corporate bonds and medium-term notes    
Assets:    
Investment securities 1,085 1,619
Asset-backed and mortgage-backed securities    
Assets:    
Investment securities 424 378
Publicly traded equity securities    
Assets:    
Investment securities 108 99
Level 1    
Assets:    
Investment securities 2,168 2,949
Level 1 | Money market funds    
Assets:    
Investment securities 1,894 2,658
Level 1 | U.S. Treasury and agency securities    
Assets:    
Investment securities 166 192
Level 1 | Non-U.S. government securities    
Assets:    
Investment securities 0 0
Level 1 | Municipal securities    
Assets:    
Investment securities 0 0
Level 1 | Commercial paper, corporate bonds and medium-term notes    
Assets:    
Investment securities 0 0
Level 1 | Asset-backed and mortgage-backed securities    
Assets:    
Investment securities 0 0
Level 1 | Publicly traded equity securities    
Assets:    
Investment securities 108 99
Level 2    
Assets:    
Investment securities 2,850 4,050
Level 2 | Money market funds    
Assets:    
Investment securities 0 0
Level 2 | U.S. Treasury and agency securities    
Assets:    
Investment securities 26 489
Level 2 | Non-U.S. government securities    
Assets:    
Investment securities 129 216
Level 2 | Municipal securities    
Assets:    
Investment securities 1,186 1,348
Level 2 | Commercial paper, corporate bonds and medium-term notes    
Assets:    
Investment securities 1,085 1,619
Level 2 | Asset-backed and mortgage-backed securities    
Assets:    
Investment securities 424 378
Level 2 | Publicly traded equity securities    
Assets:    
Investment securities $ 0 $ 0