1.Consider the IEEE 754 single precision floating point number representation. a

Question

1.Consider the IEEE 754 single precision floating point number representation.

a.Determine the 32 bit pattern that represents the smallest normalized positive number that can be represented. Determine its equivalent decimal value.  

Bit pattern (write in groups of 4 bits for readability)

________________________________________________________________________

Equivalent decimal value: __________________________________________________

b.Determine the 32 bit pattern that represents the largest normalized positive number that can be represented. Determine its equivalent decimal value.  

Bit pattern (write in groups of 4 bits for readability)

________________________________________________________________________

Equivalent decimal value:

Explanation / Answer

1) smallest normalized positive number = 0000 0000 1000 0000 0000 0000 0000 0000 = 1.18 * 10-38 in decimal

2) largest normalized positive number = 0111 1111 0111 1111 1111 1111 1111 1111 = 3.4 * 1038 in decimal

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