Aspire Faculty ID #16625 · Topic: NIMCET 2008 · Just now
NIMCET 2008

Floating point numbers in a computer are represented using a 10-bit mantissa (including a sign bit) a 7-bit exponent (including a sign bit). What is the approximate value of the maximum number, which can be represented? Assume that the mantissa is stored in the normalized form, that is, without leading zeroes.

Solution

7-bit exponent including sign → maximum exponent = $2^{6}-1 = 63$
Hence maximum representable value ≈ $2^{63}$.

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