Base conversion — Convert the hexadecimal value 44 (base 16) to its 8-bit binary representation (two hex digits map to one byte).
Electronics
Number Systems and Codes
Difficulty: Easy
Choose an option
-
A01000100
-
B10011010
-
C01011000
-
D10001100
Answer
Correct Answer: 01000100
Explanation
Introduction / Context: Hexadecimal and binary conversions are common in debugging, register inspection, and hardware design. Each hex digit corresponds to a 4-bit nibble, so two hex digits form an 8-bit byte. The goal is to convert 0x44 into its exact 8-bit binary pattern.Given Data / Assumptions:
- Hex 4 maps to binary 0100.
- 0x44 consists of two identical hex digits 4 and 4.
- Concatenating nibble conversions yields one byte.
Concept / Approach: Use the direct nibble mapping method: convert each hex digit independently to a 4-bit value with leading zeros retained, then concatenate in the same order (most significant nibble first).Step-by-Step Solution:
Convert first digit: 4_hex → 0100.Convert second digit: 4_hex → 0100.Concatenate: 0100 0100 → 01000100.Verification / Alternative check:
Check against decimal: 0x44 = 68. Binary 01000100 equals 64 + 4 = 68.Why Other Options Are Wrong:
10011010 corresponds to 0x9A.01011000 corresponds to 0x58.10001100 corresponds to 0x8C.Common Pitfalls:
Dropping leading zeros in nibbles, which changes the bit-width.Accidentally reversing nibble order (endianness confusion); endianness concerns bytes, not nibble order within a byte.Final Answer:
01000100