Income Taxes - Narrative (Details) - USD ($) $ in Millions	3 Months Ended			12 Months Ended
	Jan. 31, 2016	Oct. 31, 2014	Apr. 30, 2014	Oct. 31, 2016	Oct. 31, 2015	Oct. 31, 2014
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Employee Benefits				$ 1,274	$ 1,253
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount				11	36	$ 195
Current Federal Tax Expense (Benefit)				(1)	(2)	0
Income (Loss) from Continuing Operations before Income Taxes, Domestic				(95)	(215)	(398)
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount				$ (132)	(41)	(234)
Income Taxes Percent Likelihood Of Being Realized Upon Settlement				50.00%
Income tax expense				$ (33)	(51)	(26)
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense				1	(1)	4
Unrecognized Tax Benefits				50	41
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense				8	8
Income (Loss) from Continuing Operations before Income Taxes, Foreign				63	112	(158)
Income (Loss) from Continuing Operations before Income Taxes, Noncontrolling Interest				(32)	(103)	(556)
Current State and Local Tax Expense (Benefit)				(4)	(1)	7
Current Foreign Tax Expense (Benefit)				(36)	(64)	(48)
Current Income Tax Expense (Benefit)				(41)	(67)	(41)
Deferred Federal Income Tax Expense (Benefit)				13	2	13
Deferred State and Local Income Tax Expense (Benefit)				(1)	0	0
Deferred Foreign Income Tax Expense (Benefit)				(4)	14	2
Deferred Income Tax Expense (Benefit)				8	16	15
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount				(3)	0	(4)
Effective Income Tax Rate Reconciliation, Tax Credit, Amount				(3)	(4)	(5)
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount				53	(48)	(31)
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount				37	31	6
Effective Income Tax Rate Reconciliation, Tax Contingency, Amount				(10)	(1)	15
Effective Income Tax Rate Reconciliation, Tax Expense related to Equity Components				0	0	13
Effective Income Tax Rate Reconciliation, Noncontrolling Interest Income (Loss), Amount				11	11	14
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount				(3)	19	$ 17
Deferred Tax Assets, Operating Loss Carryforwards				1,324	1,161
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Warranty Reserves				362	419
Deferred Tax Assets, in Process Research and Development				172	135
Deferred Tax Assets, Tax Credit Carryforwards				262	266
Deferred Tax Assets, Other				232	239
Deferred Tax Assets, Gross				3,626	3,473
Deferred Tax Assets, Valuation Allowance				3,434	3,260
Deferred Tax Assets, Net of Valuation Allowance				192	213
Deferred Tax Liabilities, Undistributed Foreign Earnings				0	(37)
Deferred Tax Liabilities, Other				(31)	(26)
Deferred Tax Liabilities, Net				(31)	(63)
Deferred Tax Assets, Operating Loss Carryforwards, Domestic				945
Deferred Tax Assets, Operating Loss Carryforwards, State and Local				150
Deferred Tax Assets, Operating Loss Carryforwards, Foreign				229
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount		$ (16)	$ 29	132	$ 41
Undistributed Earnings of Foreign Subsidiaries				551
Unrecognized Tax Benefits, Decrease Resulting from Prior Period Tax Positions				9
Unrecognized Tax Benefits, Decrease Resulting from Foreign Currency Translation				0
Unrecognized Tax Benefits, Decrease Resulting from Settlements with Taxing Authorities				0
Other Comprehensive Income (Loss) [Member]
Operating Loss Carryforwards [Line Items]
Income tax expense				$ 12
Alternative Minimum Tax [Member]
Operating Loss Carryforwards [Line Items]
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount	$ (13)
Minimum [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards, Duration of Carryforward				5 years
Maximum [Member]
Operating Loss Carryforwards [Line Items]
Operating Loss Carryforwards, Duration of Carryforward				20 years
Stock Option Tax Benefits [Member]
Operating Loss Carryforwards [Line Items]
Deferred Tax Assets, Operating Loss Carryforwards				$ 63
Convertible Subordinated Debt [Member]
Operating Loss Carryforwards [Line Items]
Income tax expense			$ 13