Bit grouping and storage size: consider the binary string “1011 1001 0110 1110”. How many bytes of data does this 16-bit pattern occupy?

Difficulty: Easy

Correct Answer: 2

Explanation:


Introduction / Context:
Understanding how bits aggregate into bytes and words is vital for memory sizing, data alignment, and communication protocols. The given pattern contains 16 bits grouped as four nibbles (4-bit groups), commonly written with a space every 4 bits for readability.


Given Data / Assumptions:

  • Total bit count: 16 bits (1011 1001 0110 1110).
  • 1 byte = 8 bits, 1 nibble = 4 bits.
  • No parity or additional overhead bits are included; it is a raw bit count question.


Concept / Approach:
Compute the number of bytes using the simple identity: bytes = total_bits / 8. This is a direct unit conversion from bits to bytes with no rounding since 16 is an exact multiple of 8.


Step-by-Step Solution:

Count bits: 4 groups * 4 bits per group = 16 bits. Convert units: bytes = 16 / 8 = 2. Therefore the 16-bit pattern occupies 2 bytes of storage.


Verification / Alternative check:
Break into two bytes explicitly: first byte 10111001 (B9 in hex), second byte 01101110 (6E in hex). Two bytes are present, confirming the calculation.


Why Other Options Are Wrong:

1: Would correspond to 8 bits, not 16 bits. 4 or 8: Would require 32 or 64 bits respectively. None: incorrect because 2 bytes is exact.


Common Pitfalls:
Confusing nibbles and bytes, or miscounting due to visual spacing. Spaces in binary strings are for readability only and do not change the bit count.


Final Answer:
2

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