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Boolean algebra truths with more than one digit

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Problem Detail: 

I understand that when you 0 AND 0 it will result in 0 and that 1 AND 1 will result in 1 etc but what I don't understand is if the question was 01 AND 11. How would I work this out?

Asked By : MEMESLOLXD
Answered By : Ricky Demer

Since these operations are defined per pair of boolean values, you should apply them for each boolean pairwise. In your example this will be:
b0 b1 ​ AND ​ b2 b3 ​ ​ ​ = ​ ​ ​ (b0 AND b2) ​ (b1 AND b3)

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Question Source : http://cs.stackexchange.com/questions/54097

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