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In the 32-bit floating point system (for float variables) that was explored using the floatbits.c program the following bit patterns are observed for the three given values, expressed as four 8-bit bytes: 2.0 = 01000000 00000000 00000000 00000000 3.0 = 01000000 01000000 00000000 00000000 4.0 = 01000000 10000000 00000000 00000000The bit pattern corresponding to the decimal number 5.0 is most likely to be:Group of answer choices01000000 10100000 00000000 0000000001000001 10100000 00000000 0000000001000000 11000000 00000000 0000000001000000 10101000 00000000 0000000001000000 10010000 00000000 00000000

Question

In the 32-bit floating point system (for float variables) that was explored using the floatbits.c program the following bit patterns are observed for the three given values, expressed as four 8-bit bytes: 2.0 = 01000000 00000000 00000000 00000000 3.0 = 01000000 01000000 00000000 00000000 4.0 = 01000000 10000000 00000000 00000000The bit pattern corresponding to the decimal number 5.0 is most likely to be:Group of answer choices01000000 10100000 00000000 0000000001000001 10100000 00000000 0000000001000000 11000000 00000000 0000000001000000 10101000 00000000 0000000001000000 10010000 00000000 00000000

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Solution

The bit pattern corresponding to the decimal number 5.0 is most likely to be: 01000000 10100000 00000000 00000000.

Here's why:

In the 32-bit floating point system, the bit pattern for floating point numbers is divided into three parts: the sign bit, the exponent, and the fraction (also known as the mantissa).

Looking at the given examples, we can see that the sign bit is always 0 (indicating a positive number), and the exponent is increasing by 1 for each increment of the decimal number.

The exponent for 2.0 is 1000000, for 3.0 it's 1000000, and for 4.0 it's 1000000. Following this pattern, the exponent for 5.0 should be 1010000.

The fraction part remains 00000000 00000000 for all given examples, so we can assume it will be the same for 5.0.

Therefore, the bit pattern for 5.0 should be 01000000 10100000 00000000 00000000.

This problem has been solved

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