Consider a 7-bit floating-poin representation based on IEEE floating-point format. This format does not have a sign bit - it can only represent nonnegative numbers. The first 4 bits represent the exponent bits (the exponent bias is 7). The last 3 bits represent fraction bits.

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Consider a 7-bit floating-poin
representation based on IEEE floating-point format.
This format does not have a sign bit it can only
represent nonnegative numbers.
The first 4 bits represent the exponent bits (the
exponent bias is 7).
The last 3 bits represent fraction bits.
Decimal values are encoded as a value of the form
V = M x 2E
Fill in the table below with the given floating point
encoding for the given decimal value. If rounding is
necessary, use round-to-even. In addition, you should
give the rounded value of the encoded floating point
number. Give these as whole numbers (e.g., 17) or as
fractions in reduced form (e.g., 3/4).
Decimal Value
Binary Floating Point
Representation
Rounded Value
19/1024
0001 010
5/256
32/512
23/256
CS GmScanner ile tarandı
3.612
Transcribed Image Text:Consider a 7-bit floating-poin representation based on IEEE floating-point format. This format does not have a sign bit it can only represent nonnegative numbers. The first 4 bits represent the exponent bits (the exponent bias is 7). The last 3 bits represent fraction bits. Decimal values are encoded as a value of the form V = M x 2E Fill in the table below with the given floating point encoding for the given decimal value. If rounding is necessary, use round-to-even. In addition, you should give the rounded value of the encoded floating point number. Give these as whole numbers (e.g., 17) or as fractions in reduced form (e.g., 3/4). Decimal Value Binary Floating Point Representation Rounded Value 19/1024 0001 010 5/256 32/512 23/256 CS GmScanner ile tarandı 3.612
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