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I am trying to convert 3.984375 * 10^(-1) to binary notation. This is the easiest way I've found but I'm having trouble.
in decimal: $$3.984375*10^{-1} = 0.3984375$$
$$\frac{51}{128} = \frac{110011}{2^7} = 110011 * 2^{-7} = 1.10011 * 2^{-2}$$
How do I go from decimal to fraction easily? That took me a long time.
I have another:
3.4375*10^{-1} = .34375 in decimal.
How do I take this to a fraction?
Aren't you allowed to convert the mantissa(fractional part) directly into binary?
If you are allowed, then multiply by 2 at each step and remember the integer part:
.34375 x 2 = 0.6875
0.6875 x 2 = 1.375
0.375 x 2 = 0.75
0.75 x 2 = 1.5
0.5 x 2 = 1.0
Thus .34375 in decimal = .01011 in binary.
