Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 3) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Oct. 28, 2012	Oct. 30, 2011	Oct. 31, 2010
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 182	$ 146	$ 126
Cost of products sold [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	54	48	32
Research, development, and engineering [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	54	46	43
Selling, general and administrative [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 74	$ 52	$ 51