Income Taxes (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Oct. 27, 2013	Oct. 28, 2012	Oct. 30, 2011
Components of income from operations before income taxes
U.S.	$ 194	$ 381	$ 1,257
Foreign	156	(65)	1,121
Income before income taxes	350	316	2,378
Current:
U.S.	3	74	290
Foreign	72	75	206
State	2	8	5
Total current provision for income taxes	77	157	501
Deferred:
U.S.	34	52	(95)
Foreign	(19)	(4)	(23)
State	2	2	69
Total deferred provision (benefit) for income taxes	17	50	(49)
Provision for income taxes	94	207	452
Reconciliation between the statutory U.S.federal income tax rate to actual effective income tax rate
Tax provision at U.S. statutory rate	35.00%	35.00%	35.00%
Resolutions from prior years’ income tax filings	(4.70%)	(6.00%)	(6.90%)
Effect of foreign operations taxed at various rates	(19.40%)	(8.50%)	(8.10%)
State income taxes, net of federal benefit	0.80%	2.00%	1.60%
Research and other tax credits	(5.40%)	(1.00%)	(1.20%)
Production benefit	(1.00%)	(8.00%)	(0.80%)
Goodwill impairment	22.50%	47.00%	0.00%
Share-based compensation	2.20%	4.00%	0.40%
Other	(3.10%)	1.00%	(1.00%)
Effective income tax rate	26.90%	65.50%	19.00%
Deferred tax assets:
Inventory reserves and basis difference	134	124
Installation and warranty reserves	14	27
Accrued liabilities	201	211
Restructuring reserves	5	23
Deferred revenue	27	36
Tax credits and net operating losses	182	111
Deferred compensation	33	41
Share-based compensation	60	51
Gross deferred tax assets	656	624
Valuation allowance	(116)	(46)
Total deferred tax assets	540	578
Deferred tax liabilities:
Fixed assets	(54)	(71)
Intangible assets	(94)	(178)
Undistributed foreign earnings	(75)	(92)
Other	(14)	(18)
Total gross deferred tax liabilities	(237)	(359)
Net deferred tax assets	303	219
Breakdown between current and non-current net deferred tax assets and liabilities
Current deferred tax asset	323	369
Non-current deferred tax asset	53	51
Current deferred tax liability	(2)	(1)
Non-current deferred tax liability	(71)	(200)
Net deferred tax assets	303	219
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	174	59
Uncertainties arising from the acquistion of Varian	0	70
Settlements with tax authorities	(15)	(15)
Lapses of statutes of limitation	(15)	0
Increases in tax positions for current years	48	42
Increases in tax positions from prior years	2	51
Decreases in tax positions for prior years	0	(33)
Ending balance of gross unrecognized tax benefits	$ 194	$ 174	$ 59