Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 4) (USD $) In Millions, unless otherwise specified	3 Months Ended		6 Months Ended
	Apr. 27, 2014	Apr. 28, 2013	Apr. 27, 2014	Apr. 28, 2013
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 42	$ 39	$ 88	$ 81
Cost of products sold [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	13	12	27	24
Research, development, and engineering [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	16	13	33	25
Marketing and selling [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	5	5	11	10
General and administrative [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	8	9	17	17
Restructuring charge [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 0	$ 0	$ 0	$ 5