Income Taxes (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 28, 2018	Oct. 29, 2017	Oct. 30, 2016
Income Tax Examination [Line Items]
Tax provision at U.S. statutory rate	23.40%	35.00%	35.00%
Tax expense for transition tax and remeasurement of deferred tax assets	$ 1,100
Tax holiday benefit	$ 272
Tax holiday benefit per diluted share (in dollars per share)	$ 0.28
Income tax penalties and interest expense (benefit)	$ 12	$ 17	$ 24
Unrecognized tax benefits that would impact effective tax rate	294	284	302
Noncurrent Liabilities
Income Tax Examination [Line Items]
Interest and penalties related to uncertain tax positions	26	46	33
Research Tax Credit Carryforward | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	236
Research, carried over until exhausted | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	227
Research, carried over the next fifteen years | State and Local Jurisdiction
Income Tax Examination [Line Items]
Tax credit carryforwards	$ 9
Tax credit carryforward, term	15 years
SINGAPORE
Income Tax Examination [Line Items]
Foreign statutory income tax rate	17.00%
ISRAEL | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax paid or accrued	$ 158
Income tax expense (benefit) from settlement with tax authorities	$ (6)
ITALY | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax paid or accrued		29
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
Income tax expense (benefit) from settlement with tax authorities			$ 19