Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Millions	Oct. 31, 2015	Oct. 31, 2014
Income Tax Disclosure [Abstract]
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Employee Benefits	$ 1,253	$ 1,210
Deferred Tax Assets, Operating Loss Carryforwards	1,161	1,213
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Warranty Reserves	419	494
Deferred Tax Assets, in Process Research and Development	135	9
Deferred Tax Assets, Tax Credit Carryforwards	266	256
Deferred Tax Assets, Other	239	194
Deferred Tax Assets, Gross	3,473	3,376
Deferred Tax Assets, Valuation Allowance	3,260	3,174
Deferred Tax Assets, Net of Valuation Allowance	213	202
Deferred tax liabilities related to unremitted foreign earnings	(37)	(6)
Deferred Tax Liabilities, Other	(26)	(10)
Deferred Tax Liabilities, Net	$ (63)	$ (16)