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Module 1: Functional Block of computer and Data representaion

20252m

In floating point representation, the part representing significant digits is called:
(i) Mantissa
(ii) Exponent
(iii) Sign bit
(iv) Base

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Answer: (i) Mantissa

In floating-point representation a number is stored as:

Value=(−1)S×M×BE \text{Value} = (-1)^{S} \times M \times B^{E}

where S = sign bit, M = Mantissa (also called significand/mantissa) = significant digits/precision, E = exponent, B = base (2 for binary).

  • Mantissa holds the significant digits of the number.
  • Exponent scales the magnitude (position of binary point).
  • e.g. 123.45=0.12345×103123.45 = 0.12345 \times 10^{3} → 0.123450.12345 is mantissa, 33 is exponent.

So correct option is (i) Mantissa.

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