Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 3) (USD $) In Millions, unless otherwise specified	3 Months Ended		6 Months Ended
	Apr. 28, 2013	Apr. 29, 2012	Apr. 28, 2013	Apr. 29, 2012
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 39	$ 43	$ 81	$ 96
Cost of products sold [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	12	14	24	27
Research, development, and engineering [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	13	13	25	26
Selling, general and administrative [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	14	16	27	43
Restructuring charge [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 0	$ 0	$ 5	$ 0