| **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)        |

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|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards.
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| - Definition
Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from in-process research and development costs expensed in connection with a business combination.
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| - Definition
Amount after allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences and carryforwards.
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|--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Amount before allocation of valuation allowances of deferred tax asset attributable to deductible operating loss carryforwards.
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| - Definition
Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences not separately disclosed.
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| - Definition
The tax effect as of the balance sheet date of the amount of future tax deductions arising from all unused tax credit carryforwards which have been reduced by a valuation allowance.
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| - Definition
The tax effect as of the balance sheet date of the amount of the estimated future tax deductions arising from employee benefit costs not otherwise specified in the taxonomy, which can only be deducted for tax purposes when actual costs are incurred, and which can only be realized if sufficient tax-basis income is generated in future periods to enable the deduction to be taken.
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|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| - Definition
Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from warranty reserves.
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| - Definition
Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized.
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| - Definition
Amount of deferred tax liability attributable to taxable temporary differences net of deferred tax asset attributable to deductible temporary differences and carryforwards after valuation allowances.
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| - Definition
Amount of deferred tax liability attributable to taxable temporary differences not separately disclosed.
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| - Definition
Amount of deferred tax liability attributable to taxable temporary differences from undistributed earnings of subsidiaries and other recognized entities not within the country of domicile of the entity.
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