| **Income Taxes - Components of the Deferred Tax Asset (Liability) (Details) (USD $)In Millions, unless otherwise specified** | Oct. 31, 2013 | Oct. 31, 2012 |
|------------------------------------------------------------------------------------------------------------------------------|---------------|---------------|
| **Deferred tax assets attributable to:**                                                                                     |          |          |
| Employee benefits liabilities                                                                                                | $ 1,107       | $ 1,419       |
| Net operating loss (“NOL”) carry forwards                                                                      | 840           | 583           |
| Product liability and warranty accruals                                                                                      | 546           | 457           |
| Research and development                                                                                                     | 26            | 49            |
| Tax credit carry forwards                                                                                                    | 259           | 218           |
| Other                                                                                                                        | 271           | 285           |
| Gross deferred tax assets                                                                                                    | 3,049         | 3,011         |
| Less: Valuation allowances                                                                                                   | 2,773         | 2,664         |
| Net deferred tax assets                                                                                                      | 276           | 347           |
| **Deferred tax liabilities attributable to:**                                                                                |          |          |
| Goodwill and intangibles assets                                                                                              | 72            | 77            |
| Other                                                                                                                        | 5             | 54            |
| Total deferred tax liabilities                                                                                               | $ 77          | $ 131         |

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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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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible operating loss carryforwards.
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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences not separately disclosed.
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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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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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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from warranty reserves.
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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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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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Amount of deferred tax liability attributable to taxable temporary differences from intangible assets including goodwill.
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Amount of deferred tax liability attributable to taxable temporary differences not separately disclosed.
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