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The typical zodiac depends on which MONTH AND DAY you were born in, not the year. If you are asking about CHINESE zodiac then you are a dog.
Zodiac is a topical treatment applied to the skin that a dog doesn't ingest. For this reason it may be used on a pregnant dog.
If you remember the month and day your cat or dog was born in, then yes, they can have zodiac signs.
1970, was the Chinese Year of the Dog.
Metal dog and boar.