Borrowing Facilities and Long-Term Debt (Details) (USD $) In Millions, unless otherwise specified	Jan. 26, 2014	Oct. 27, 2013
Schedule of Long term debt
Total long-term debt	$ 1,946	$ 1,946
Senior Notes [Member]
Schedule of Long term debt
Principal amount	1,950	1,950
Less unamortized discount	(4)	(4)
Total long-term debt	1,946	1,946
Senior Notes [Member] | 2.650% Unsecured Senior Notes Due 2016, Interest Payable June 15 and December 15 [Member]
Schedule of Long term debt
Debt, interest rate, stated percentage	2.65%	2.65%
Debt, interest rate, effective percentage	2.666%	2.666%
Principal amount	400	400
Senior Notes [Member] | 7.125% Unsecured Senior Notes Due 2017, Interest Payable April 15 and October 15 [Member]
Schedule of Long term debt
Debt, interest rate, stated percentage	7.125%	7.125%
Debt, interest rate, effective percentage	7.19%	7.19%
Principal amount	200	200
Senior Notes [Member] | 4.300% Unsecured Senior Notes Due 2021, Interest Payable June 15 and December 15 [Member]
Schedule of Long term debt
Debt, interest rate, stated percentage	4.30%	4.30%
Debt, interest rate, effective percentage	4.326%	4.326%
Principal amount	750	750
Senior Notes [Member] | 5.850% Unsecured Senior Notes Due 2041, Interest Payable June 15 and December 15 [Member]
Schedule of Long term debt
Debt, interest rate, stated percentage	5.85%	5.85%
Debt, interest rate, effective percentage	5.879%	5.879%
Principal amount	$ 600	$ 600