Question: 4) A small processor uses a simple 12-bit floating point representation for memory and internal calculations. The bit assignments in its 12-bit word are as

4) A small processor uses a simple 12-bit floating point representation for memory and internal calculations. The bit assignments in its 12-bit word are as follows 3 2 -1 -2 -3 -4 -5 -6 -7 biased exponent fraction sign bit The floating point numbers are formed with the expression bit, 0 or 1, the biased exponent c is the four bit binary value from the bits c c c1 Co, the ' symbol is a binary point (not a decimal point!) and the fraction fis the seven bit binary value from the bits f. f fa f f f-s f. (Note there is no "hidden" 1 bit in this format, as there is in the IEEE floating point standard.) - 7xz""0.f where s is the value of the sign For this numbering system, give the binary representation of the following decimal numbers. Write all twelve bits. To get you started, the first three answers are provided. a) 0.0 O 0000 0000000 b) 1.0 0 1000 1000000 c)-2.0 1 1001 1000000 d) 0.5 e) -10.0 f) 0.1875 (Hint: This is 3 16) g) What is the smallest decimal number greater than zero that can be represented in this format? h) What is the largest decimal number that can be represented in this format? i) What is the decimal result when 0,125 is added to 200.0? Show your work
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