Floating point mantissa bias

Posted by user69514 on Stack Overflow See other posts from Stack Overflow or by user69514
Published on 2010-02-20T04:00:09Z Indexed on 2010/05/25 5:51 UTC
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Does anybody know how to go out solving this problem?

* a = 1.0 × 2^9
* b = -1.0 × 2^9
* c = 1.0 × 2^1 

Using the floating-point (the representation uses a 14-bit format, 5 bits for the exponent with a bias of 16, a normalized mantissa of 8 bits, and a single sign bit for the number), perform the following two calculations, paying close attention to the order of operations.

* b + (a + c) = ?
* (b + a) + c = ? 

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