why CA use private key to sign a digital certificate? What is the logic behind sign a digital certificate with CA private key?

In general(PKI), encryption happens with public key and decryption happens with private key. But, how Certificate Authority sign a digital certificate with private key? How this can be validated using public key in browser? What is the logic behind CA certificate validation?

What is the role of SHA (hash algorithm) role here? How SHA and CA private key work together?

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Author: srikanth varma