Income Taxes (Narrative) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 25, 2015	Oct. 26, 2014	Oct. 27, 2013
Income Tax Examination [Line Items]
Statutory U.S. federal tax rate	35.00%	35.00%	35.00%
Tax holiday benefit	$ 68
Tax holiday benefit per diluted share (in dollars per share)	$ 0.06
Undistributed earnings from foregin subsidiaries	$ 4,100
Tax credit carryforwards	179
Income tax benefits allocated directly to stockholders' equity	56	$ 27	$ 11
Income tax penalties and interest expense	6	18	1
Unrecognized tax benefits that would impact effective tax rate	167	124	183
Unrecognized tax benefits that would impact adjustment to other tax accounts	9	9	10
Tax refunds	12	111	102
Income tax expense (benefit)	221	376	94
Noncurrent Liabilities
Income Tax Examination [Line Items]
Interest and penalties related to uncertain tax positions	14	25	7
Internal Revenue Service
Income Tax Examination [Line Items]
Income tax refund		17
Income tax expense (benefit) from settlement with tax authorities		(3)
Tax refunds			31
Income tax expense (benefit)			(12)
Payments for tax settlements			$ 14
State and Local Jurisdiction
Income Tax Examination [Line Items]
Operating loss carryforwards	34
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	143
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	26.50%
ITALY | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax expense (benefit) from settlement with tax authorities	$ 19
SWITZERLAND | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax expense (benefit) from settlement with tax authorities	$ 2
KOREA | Foreign Tax Authority
Income Tax Examination [Line Items]
Income tax refund		$ 18