exponent/mantisa computing question help :O?

Question

a 12 bit register is split up such that 8 bits are used in fractional two's complement representaiton to represent sent the mantissa and the remaining 4 bits are used as an integer two complement representation for the exponent as follows

* * * * * * * * / * * * *
mantisa ^^ exponent ^^

using the register representation the following numbers in normalsied or standard form :

a)+1 b)+9 c)-3 d)-30 e)0.125 f)-0.015625

Not sure how to solve this i have an example of this but they give a number to the mantissa themselfs? ...

Answer 1

It sounds like you have a homework problem that you don't really understand, rather than a real problem you need help with.

As it happens, you don't provide enough information to solve the problem as you don't specify the base of this floating point representation. Most machines use base 2 these days, but others use base 16, and since you are defining a non-standard representation, you have to specify it.

For more information on floating point representations in computers, check out Donald Knuth's "The Art of Computer Programming" vol. 2, Seminumerical Algorithms

Answer 2

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