Final Answer:
The binary equivalent of a hexadecimal expansion can be obtained by converting each hexadecimal digit to its 4-bit binary representation.
Step-by-step explanation:
Hexadecimal uses a base-16 numbering system, while binary is base-2. To convert hexadecimal to binary, each hexadecimal digit corresponds to a 4-bit binary sequence. For instance, the hexadecimal digits 0 to 15 are represented in binary as 0000 to 1111 respectively. Therefore, a hexadecimal expansion like "Question" can be converted to binary by replacing each hexadecimal digit with its respective 4-bit binary equivalent. For example, if the given hexadecimal expansion is "Question," the binary equivalent for each hexadecimal digit would be: Q (hexadecimal) -> 1 (binary), u (hexadecimal) -> 1010 (binary), e (hexadecimal) -> 1110 (binary), s (hexadecimal) -> 1101 (binary). Combining these binary equivalents together, we get the complete binary representation of the given hexadecimal expansion.
Hexadecimal to binary conversion involves a direct mapping of each hexadecimal digit to its corresponding 4-bit binary sequence. By substituting each digit in the hexadecimal expansion with its binary equivalent, we achieve the binary representation. This conversion process ensures precision and accuracy in representing the hexadecimal expansion in binary form.
Understanding the positional value of each digit in hexadecimal and its equivalent in binary (4 bits per digit) is crucial for this conversion. The straightforward nature of this conversion method allows for a systematic translation from hexadecimal to binary, ensuring a reliable and accurate binary representation of the given hexadecimal expansion.