Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 3) (USD $) In Millions, unless otherwise specified	3 Months Ended		9 Months Ended
	Jul. 28, 2013	Jul. 29, 2012	Jul. 28, 2013	Jul. 29, 2012
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 40	$ 42	$ 121	$ 138
Cost of products sold [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	13	13	37	40
Research, development, and engineering [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	14	14	39	40
Marketing and selling [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	5	5	15	17
General and administrative [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	8	10	25	41
Restructuring charge [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 0	$ 0	$ 5	$ 0