Question

Represent the following in single-precision IEEE floating point. Give your answers in hexadecim

a) 2007.0
b) -4014.0
c) -0.00390625

Answer 1

To represent numbers in single-precision IEEE floating point, we use a 32-bit binary format. The first bit represents the sign (0 for positive and 1 for negative), the next 8 bits represent the exponent, and the remaining 23 bits represent the significand (or mantissa).

Step-by-step explanation:

To represent numbers in single-precision IEEE floating point, we use a 32-bit binary format. The first bit represents the sign (0 for positive and 1 for negative), the next 8 bits represent the exponent, and the remaining 23 bits represent the significand (or mantissa).

In hexadecimal, the numbers are represented as follows:

1. a) 2007.0 = 0x44870000
2. b) -4014.0 = 0xC0D40000
3. c) -0.00390625 = 0xBE000001