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

Question

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. 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. Use double quotation marks. If the correct bit pattern is say--- 01011101 then you should enter "01011101". Below answers are correct, i just need the last 3.

Consider the following two 7 floating-point representations based on the IEEE floating point format. 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 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 Format A Format B Value Value Bits Bits 011 0000 1 0111000 7.5 7.5 1001111 101 1110 010 1001 78125 "0110100" 75 15.5 "1011000" 16 000 0001

Explanation / Answer

For Format A 0000001 and Format B= "0001000"

Explanation:

denorm -> norm we have used rounded to even

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