QuestionQuestion

1) Give the first 8 decimals after the point for sin(1/10).

2) Convert 123.4567 in IEEE754 format.

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In order to represent the given decimal number into IEEE754 single point format, we follow this procedure:
- We convert separately from decimal into binary both the integer and fraction parts:
123=1111011 in binary
(this is accomplished by continuously division by 2, keep the reminders and read the reminders in reversed order so we can obtain 1111011)

For fraction part:
0.4567 * 2 = 0.9134       0
0.9134*2 = 1.8268          1
0.8268*2 = 1.6536         1
0.6536*2= 1.3072         1
0.3072*2 = 0.6144    0
0.6144*2= 1.2288    1
0.2288*2= 0.4576    0
0.4576*2= 0.9152    0
0.9152*2=1.8304    1
0.8304*2= 1.6608    1...
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