Final answer:
The hexadecimal code '3A' converts to the 6-bit binary natural number '001110' by translating each hexadecimal digit into its binary equivalent and truncating to six bits.
Step-by-step explanation:
The hexadecimal codeword '3A' represents a binary natural number (BNN). To convert hexadecimal to binary, each hexadecimal digit must be converted to its 4-bit binary equivalent. The hexadecimal digit '3' is equivalent to the binary '0011', and the hexadecimal digit 'A' (which represents the decimal number 10) is equivalent to the binary '1010'. Therefore, the 6-bit binary conversion of the hexadecimal '3A' is '001110', with the leftmost two bits '00' being ignored because we are only interested in a 6-bit representation.