Consolidated Statements of Operations - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Income Statement [Abstract]
Net sales	$ 9,659	$ 9,072	$ 7,509
Cost of products sold	5,707	5,229	4,518
Gross profit	3,952	3,843	2,991
Operating expenses:
Research, development and engineering	1,451	1,428	1,320
Marketing and selling	428	423	433
General and administrative	455	497	458
Loss (gain) on derivatives associated with terminated business combination	(89)	(30)	7
Impairment of goodwill and intangible assets	0	0	278
Restructuring charges and asset impairments	14	5	63
Total operating expenses	2,259	2,323	2,559
Income from operations	1,693	1,520	432
Interest expense	103	95	95
Interest and other income, net	8	23	13
Income before income taxes	1,598	1,448	350
Provision for income taxes	221	376	94
Net income	$ 1,377	$ 1,072	$ 256
Earnings per share:
Basic (in dollars per share)	$ 1.13	$ 0.88	$ 0.21
Diluted (in dollars per share)	$ 1.12	$ 0.87	$ 0.21
Weighted average number of shares:
Basic (in shares)	1,214	1,215	1,202
Diluted (in shares)	1,226	1,231	1,219