Income Taxes (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015
Income Tax Examination [Line Items]
Statutory U.S. federal tax rate	35.00%	35.00%	35.00%
Adjustment to correct intercompany sales			$ 28
Tax holiday benefit	$ 452
Tax holiday benefit per diluted share (in dollars per share)	$ 0.42
Undistributed earnings from foreign subsidiaries	$ 8,200
Income tax effects allocated directly to equity	55	$ 23	56
Income tax penalties and interest expense (benefit)	17	24	(6)
Unrecognized tax benefits that would impact effective tax rate	284	302	167
Decrease in unrecognized tax benefits is reasonably possible	116
Noncurrent Liabilities
Income Tax Examination [Line Items]
Interest and penalties related to uncertain tax positions	46	33	14
State and Local Jurisdiction
Income Tax Examination [Line Items]
Operating loss carryforwards	3
Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax expense (benefit) from settlement with tax authorities			(10)
Research Tax Credit Carryforward | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	221
Research, carried over until exhausted | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	199
Research, carried over the next fifteen years | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	$ 22
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	24.00%
ITALY | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax paid or accrued	$ 29		19
Income tax expense (benefit) from settlement with tax authorities	$ 6
SWITZERLAND | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax paid or accrued		25	$ 2
Income tax expense (benefit) from settlement with tax authorities		$ 19