INCOME TAXES - Statutory and Effective (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Nov. 01, 2015
Comparison of the statutory and effective income tax provision
U.S. federal income tax provision statutory rate (as a percent)	35.00%	35.00%	35.00%
U.S. federal income tax provision at a statutory rate of 35 percent	$ 1,104.0	$ 778.0	$ 973.0
Increase (decrease) resulting from:
State and local income taxes, net of federal income tax benefit	35.0	26.0	23.0
Differences in taxability of foreign (earnings) losses	(83.0)	(107.0)	(449.0)
Nondeductible impairment charges		4.0
Research and business tax credits	(63.0)	(57.0)	(76.0)
Tax rates on foreign activities	(86.0)	(27.0)	(36.0)
Valuation allowance on deferred taxes	89.0	79.0	384.0
Other - net	(25.0)	4.0	21.0
Provision for income taxes	971.1	$ 700.1	$ 840.1
Accumulated earnings of certain foreign subsidiaries for which no provision for U.S. income or foreign withholding taxes has been made	5,961.0
Determination of the amount of unrecognized deferred tax liability on unremitted earnings	0.0
Cash and cash equivalents and marketable securities held by foreign subsidiaries, in which earnings are considered indefinitely reinvested	$ 3,386.0