Essentials Of Computer Organization And Architecture 4th Edition by Linda Null,Julia Lobur

تمرين 102

Let
Using the simple floating-point model described in the text (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 15, a normalized mantissa of 8 bits, and a single sign bit for the number), perform the following calculations, paying close attention to the order of operations. What can you say about the algebraic properties of floating-point arithmetic in our finite model Do you think this algebraic anomaly holds under multiplication as well as addition
b + ( a + c ) =
( b + a ) + c =