Let's assume a BIP-32 compliant HD wallet is also BIP-39 and BIP-44 compliant.
Let's next assume that when you first configured your BIP-39 compliant HD wallet it provided you the following set of words to be used to reconstitute your master seed:
small cereal crazy ahead move never galaxy draft draw plunge sort identify embark clerk hard wagon clever torch cruel income episode any debris puppy. Additionally, let's also assume the wallet requested that you enter an additional BIP-39 related salted password that will be set to
I'mAbadASS for discussion purposes.
A 512 bit root seed
m could be obtained for the situation above by issuing the following bitcoin-explorer (bx) command:
% echo "small cereal crazy ahead move never galaxy draft draw plunge sort identify embark clerk hard wagon clever torch cruel income episode any debris puppy" | bx mnemonic-to-seed -l en -p "I'mAbadASS"
BIP-44 compliant HD trees use the
m/purpose'/coin_type'/ account'/change/address_index convention to derive private keys and associated addresses. Let's then assume the wallet only has one account 0. For the Bitcoin the coin_type the private key tree would look like m/44'/0'/0'/c/i where c can be 0 or 1 and i is an index used to synthesize the i-th extended private key, i-th extended public key or address.
m/44'/0'/0'/1/0 could then be synthesized as follows:
% echo $root_seed | bx hd-new | bx hd-private -i 44 -d | bx hd-private -i 0 -d | bx hd-private -i 0 -d | bx hd-private -i 1 | bx hd-private -i 0
From the resulting extended private key (ext_prv_key) above, the corresponding public address and private key can be found.
% echo $ext_prv_key | bx hd-to-address
Then determine if any funds have been sent to the address above by issuing
% bx fetch-balance 1BLQ28VdYxJ4Y89fjpbNP5ihUvy2hMkGgq on a computer attached to the Internet or have a very fresh bitcoin-server full node server available for your bx on your private computer that is offline.
If funds are present, to obtain the private keys to import into another wallet try:
% echo $ext_prv_key | bx hd-to-wif
qrencode command can receive the piped text output immediately above to synthesize a QR image for a smart cell phone or tablet based wallet to easily import from an offline key synthesis computer that retains a network air-gap.
% echo $ext_prv_key | bx hd-to-wif | qrencode -o QRwif.png
See how-to-import-a-hd-wallet-from-an-extended-private-key for more Electrum specific details.