Multiple choice

The binary number (1101.111)2 when represented by floating point notation is

  1. (.1101111 x 24)

  2. (1101111)2

  3. (.1101111)2

  4. none of these
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A Correct answer
Explanation

Floating point notation normalizes a binary number by expressing it as (mantissa) × 2^(exponent). For (1101.111)₂, normalize by moving the decimal point 4 places left: 0.1101111 × 2⁴, where the mantissa is 0.1101111 and exponent is 4.

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