please show steps if possible Consider the following two 7-bit floating-point re

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please show steps if possible

Consider the following two 7-bit floating-point representations based on the IEEE floating point format. Neither has a sign bit-they can only represent nonnegative numbers. Format A There are k = 3 exponent bits. The exponent bias is 3. There are n = 4 fraction bits. Format B There are k = 4 exponent bits. The exponent bias is 7. There are n = 3 fraction bits. Below, you are given some bit patterns in Format A, and your task is to convert them to the closest value in Format B. If necessary, you should apply the round-to-even rounding rule. In addition, give the values of numbers given by the Format A and Format B bit patterns. Specify values as whole numbers or decimals. Please specify bit pattern for Format B within double quotation marks and without a space. (E.g.: "0111000") Finally to summarize the types expected for blanks-the columns titled "Value" expect decimal values and column titled "Bits" expects a bit pattern within quotes. (E.g.: "0111000")

Explanation / Answer

Fornat A Format B

Bits Value Bits Value 011 0000 1 0111 000 1 101 1110 15/2 1001 111 15/2 010 1001 25/32 0110 100 3/4 110 1111 31/32 1011 000 16 000 0001 1010,111 15

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