INFICON Cygnus 2 Thin Film Deposition Controller - Manual (Page 202)

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Cygnus 2 Operating Manual
Rewrite each individual "1" in the value above in exponent form:
1.10001011000010100011111 x 2
3
= (2
0
+ 2
-1
+ 2
-5
+ 2
-7
+ 2
-8
+ 2
-13
+ 2
-15
+ 2
-19
+ 2
-20
+ 2
-21
+ 2
-22
+ 2
-23
) x 2
3
Distribute the 2 3 (Add the exponents, so for example, 2 -2
x 2
3
= 2
1 etc) :
= 2
3
+ 2
2
+ 2
-2
+ 2
-4
+ 2
-5
+ 2
-10
+ 2
-12
+ 2
-16
+ 2
-17
+ 2
-18
+ 2
-19
+ 2
-20
Expand the exponents in their decimal form:
= 8 + 4 + 0.25 + 0.0625 + 0.03125 + 0.0009765625
+ 0.000244140625 + 0.0000152587890625 + 0.00000762939453125
+ 0.000003814697265625 + 0.0000019073486328125
+ 0.00000095367431640625
Compute the sum and round appropriately.
In this case, this is the Z-Ratio of sensor 1.
= 12.34500026702880859375
= 12.345