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If I use SHA256 as a hash function, and I try all inputs starting from 0 to 2^256 (means all possible combination of 256-bit), then will it give me 2^256 unique output without any collision?

Or in other words, does 2^256 different inputs maps to 2^256 different output in SHA256?

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marked as duplicate by CodesInChaos Jan 24 '17 at 11:51

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