Question:

Data Representation?

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im having troulbe solving this guys...any help? show the internal representation of the following decimal qualities.

a. +7.5

b.-20.25

c.-1/64

also, assume that our computer stores decimal numbers using 16bits-10bits for a sign/magnitude mantissa and 6 bits for a sign/magnitude base-2 exponent.

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  1. 7.5 = 15 x 2^-1 so 0000001111x111111

    -20.25=-81x2^-2= 1111101100x111110

    -1/64= -1x2^-6=     1111111111x111010

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