Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 2) (USD $) In Millions, unless otherwise specified	3 Months Ended
	Jan. 26, 2014	Jan. 27, 2013
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Interest and other income, net	$ 13	$ 3
Cost of products sold	1,299	991
General and administrative	89	125
Provision for income taxes	(62)	16
Net income	253	34
Gains (Losses) Reclassified from AOCI [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net income	9
Unrealized Gain on Investments, Net [Member] | Gains (Losses) Reclassified from AOCI [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Interest and other income, net	8
Provision for income taxes	(3)
Net income	5
Unrealized Gain on Derivative Instruments Qualifying as Cash Flow Hedges [Member] | Gains (Losses) Reclassified from AOCI [Member]
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Cost of products sold	3
General and administrative	3
Provision for income taxes	(2)
Net income	$ 4