BASANTPUR_LANDSCAPE_A0_2000_6-9 Sambalpur Development Authority


1. 0.25 (in decimal)



a) Convert 0.25 to binary

\(0.25 = \frac14 = 2^-2\)

Binary representation: \(0.01_2\)




b) Express as an IEEE‑754 single precision floating point number



Field Bits Value


Sign 1 0 (positive)


Exponent 8 \(127 + (-2) = 125 = 01111101_2\)


Mantissa 23 The fractional part after the leading 1: `01000000000000000000000`


Complete bit pattern




0 | 01111101 | 01000000000000000000000


Binary representation (IEEE‑754 single precision):




00111110101000000000000000000000






Decimal value of the binary number


The binary `00111110101000000000000000000000` corresponds to:





Hex: `3FA80000`


Decimal (IEEE‑754 floating point): `1.625`



So the final result is that the binary number represents the decimal value 1.625.

Køn: Kvinde

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