Consider the following two 7-bit Tloating-point representations based on the IEE

Question

Consider the following two 7-bit Tloating-point representations based on the IEEE Tloating point tormat. Neither has a sign bit-they can only represent nonnegative numbers 1.Format A There are k 3 exponent bits. The exponent bias is 3. There are n-4 fraction bits 2. 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 or numbers given by the Format A and Format B bit patterns. Specity values as whole numbers or decimals. Please speciry bit pattem 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") Format A Bits 011 0000 101 1110 Format B Bits 0111000 Value Value 1 010 1001 000 0001

Explanation / Answer

Format A Format B Bits value Bits value 011 0000 1 "0111 000" 1 101 1110 7.5 "1001 111" 7.5 010 1001 0.78125 "0110 100" 0.75 110 1111 15.5 "1011 000" 16 000 0001 1 "0001 000" 15

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