Where does the Digital Signature sit

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Where does the Digital Signature sit
asked
In a permissioned and a permissionless blockchain, when will digital signing take place and where will the digital signature be appended, eg. become part of the transaction content which will be hashed ?

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For a wallet to wallet transaction:
>> User A gets address for User B
>> User A chooses amount of btc to send to User B and inputs the address
>> The wallet software for User A signs the transaction with User A’s private key
>> The transaction is sent out and hits the memory pool, ready to be mined
>> Miner picks up transactions, bundles and hashes and mines [computing nonce to meet hash value target]
>> Block added to blockchain!

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