Consolidated Statements of Operations - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Oct. 30, 2016	Oct. 25, 2015	Oct. 26, 2014
Income Statement [Abstract]
Net sales	$ 10,825	$ 9,659	$ 9,072
Cost of products sold	6,314	5,707	5,229
Gross profit	4,511	3,952	3,843
Operating expenses:
Research, development and engineering	1,540	1,451	1,428
Marketing and selling	429	428	423
General and administrative	390	469	502
Gain on derivatives associated with terminated business combination	0	(89)	(30)
Total operating expenses	2,359	2,259	2,323
Total	2,152	1,693	1,520
Interest expense	155	103	95
Interest and other income, net	16	8	23
Income before income taxes	2,013	1,598	1,448
Provision for income taxes	292	221	376
Net income	$ 1,721	$ 1,377	$ 1,072
Earnings per share:
Basic (in dollars per share)	$ 1.56	$ 1.13	$ 0.88
Diluted (in dollars per share)	$ 1.54	$ 1.12	$ 0.87
Weighted average number of shares:
Basic (in shares)	1,107	1,214	1,215
Diluted (in shares)	1,116	1,226	1,231