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: metalink.cfd `3FA80000`
- Decimal (IEEE‑754 floating point): `1.625`
