Goodwill, Purchased Technology and Other Intangible Assets (Details 4) (USD $) In Millions, unless otherwise specified	3 Months Ended		9 Months Ended
	Jul. 27, 2014	Jul. 28, 2013	Jul. 27, 2014	Jul. 28, 2013
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 45	$ 46	$ 136	$ 153
Cost of products sold [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	38	40	117	126
Research, development, and engineering [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	1	0	1	1
Marketing and selling [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	5	5	16	21
General and administrative [Member]
Finite-Lived Intangible Assets [Line Items]
Amortization expense	$ 1	$ 1	$ 2	$ 5