(Solved) : 2 Let Us Consider Following Toy Model Ieee Double Precision Floating Point Format Toy Mode Q44031135 . . .
2. Let us consider the following toy model of the IEEE double precision floating-point format. This toy model makes it simpler to demonstrate how addition and multiplication of floating- point numbers work. The sequence of 8 bits Co bi b2 b3 b4 ai 02 03 sign part exponent part mantissa part represents a number =.2e where o, , e are determined as follows: o E ſi if co= 0, 1 -1 if co = 1, = (b1b2b3b4)2 • If 1 <E< 14 then e = = E-7, (1.010203)2 . If E=0 then e = -6 and i = (0.212223)2. • If E= 15 then = too (depending on the sign o). (a) Find the dynamic range and machine epsilon of this floating-point number format. (b) What numbers are represented by the bit sequences 11001001, 00000000, 11111000 ? Show transcribed image text 2. Let us consider the following toy model of the IEEE double precision floating-point format. This toy model makes it simpler to demonstrate how addition and multiplication of floating- point numbers work. The sequence of 8 bits Co bi b2 b3 b4 ai 02 03 sign part exponent part mantissa part represents a number =.2e where o, , e are determined as follows: o E ſi if co= 0, 1 -1 if co = 1, = (b1b2b3b4)2 • If 1
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Answer to 2. Let us consider the following toy model of the IEEE double precision floating-point format. This toy model makes it s…
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