Income Taxes (Details Textuals) (USD $)	12 Months Ended
	Oct. 27, 2013	Oct. 28, 2012	Oct. 30, 2011
Income Tax Examination [Line Items]
Statutory U.S. federal income tax rate	35.00%	35.00%	35.00%
Tax holiday benefit	$ 15,000,000
Tax holiday benefit per diluted share	$ 0.08
Undistributed earnings from foregin subsidiaries	2,200,000,000
Income tax benefits allocated directly to stockholders' equity	11,000,000	2,000,000	4,000,000
Interest and penalties related to uncertain tax positions	7,000,000	7,000,000
Tax benefit recognized in relation to the tax refund received	12,000,000	0	176,000,000
Maximum [Member]
Income Tax Examination [Line Items]
Approximate reduction to unrecognized tax benefits in the next 12 months	115,000,000
Internal Revenue Service [Member]
Income Tax Examination [Line Items]
Income tax refund	31,000,000	276,000,000
Payments for tax settlements	14,000,000
State and Local Jurisdiction [Member]
Income Tax Examination [Line Items]
Net operating loss carryforwards	65,000,000
Research [Member] | Internal Revenue Service [Member]
Income Tax Examination [Line Items]
Tax credit carryforwards	19,000,000
Tax credit carryforward, term	20 years
Research [Member] | State and Local Jurisdiction [Member]
Income Tax Examination [Line Items]
Tax credit carryforwards	109,000,000
Research, carried over until exhausted [Member] | State and Local Jurisdiction [Member]
Income Tax Examination [Line Items]
Tax credit carryforwards	89,000,000
Research, carried over the next fifteen years [Member] | State and Local Jurisdiction [Member]
Income Tax Examination [Line Items]
Tax credit carryforwards	19,000,000
Tax credit carryforward, term	15 years
Foreign tax credit carryforward [Member] | Internal Revenue Service [Member]
Income Tax Examination [Line Items]
Tax credit carryforwards	$ 51,000,000
Tax credit carryforward, term	10 years