Consolidated Statements of Operations - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015
Income Statement [Abstract]
Net sales	$ 14,537	$ 10,825	$ 9,659
Cost of products sold	8,005	6,314	5,707
Gross profit	6,532	4,511	3,952
Operating expenses:
Research, development and engineering	1,774	1,540	1,451
Marketing and selling	456	429	428
General and administrative	434	390	469
Gain on derivatives associated with terminated business combination	0	0	(89)
Total operating expenses	2,664	2,359	2,259
Income from operations	3,868	2,152	1,693
Interest expense	198	155	103
Interest and other income, net	61	16	8
Income before income taxes	3,731	2,013	1,598
Provision for income taxes	297	292	221
Net income	$ 3,434	$ 1,721	$ 1,377
Earnings per share:
Basic (in dollars per share)	$ 3.20	$ 1.56	$ 1.13
Diluted (in dollars per share)	$ 3.17	$ 1.54	$ 1.12
Weighted average number of shares:
Basic (in shares)	1,073	1,107	1,214
Diluted (in shares)	1,084	1,116	1,226