Income Taxes (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 30, 2016	Oct. 25, 2015	Oct. 26, 2014
Income Tax Examination [Line Items]
Statutory U.S. federal tax rate	35.00%	35.00%	35.00%
Tax holiday benefit	$ 254
Tax holiday benefit per diluted share (in dollars per share)	$ 0.23
Undistributed earnings from foreign subsidiaries	$ 5,300
Tax credit carryforwards	207
Income tax benefits allocated directly to stockholders' equity	23	$ 56	$ 27
Income tax penalties and interest expense	24	(6)	18
Unrecognized tax benefits that would impact effective tax rate	302	167	124
Unrecognized tax benefits that would impact adjustment to other tax accounts	8	9	9
Income tax expense (benefit)	292	221	376
Noncurrent Liabilities
Income Tax Examination [Line Items]
Interest and penalties related to uncertain tax positions	33	14	25
Internal Revenue Service
Income Tax Examination [Line Items]
Income tax refund			17
Income tax expense (benefit) from settlement with tax authorities			(3)
State and Local Jurisdiction
Income Tax Examination [Line Items]
Operating loss carryforwards	16
Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax expense (benefit) from settlement with tax authorities		(10)
Research, carried over until exhausted | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	171
Research, carried over the next fifteen years | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	$ 36
Tax credit carryforward, term	15 years
SINGAPORE
Income Tax Examination [Line Items]
Foreign statutory income tax rate	17.00%
ISRAEL
Income Tax Examination [Line Items]
Foreign statutory income tax rate	25.00%
ITALY | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax refund		(19)
SWITZERLAND | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax refund	$ (25)	$ (2)
Income tax expense (benefit) from settlement with tax authorities	$ 19
KOREA | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax refund			$ 18