Mitsubishi Electric MELSEC-Q00U(J)CPU

500
(b) Calculation example
Calculation examples are shown below. (The "X" in (nnnnnn) x indicates the numeral system used.)
• Storing "10"
(10)
10
 (1010)
2
 (1.010000..... × 2
3
)
2
Sign: Positive  0
Exponent: 3  401
H
 (100 0000 0001)
2
Mantissa: (0100 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000)
2
In this case, the value will be encoded as 4014000000000000
H
.
• Storing "0.75"
(0.75)
10
 (0.11)
2
 (1.100..... × 2
-1
)
2
Sign: Positive  0
Exponent: -1  3FD
H
 (011 1111 1101)
2
Mantissa: (1000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000 0000)2
In this case, the value will be encoded as 3FD8000000000000
H
.
Values after the decimal point (in binary) is calculated as follows.
(0.1101)
2
(0.1101)
2
= 2
-1
+ 2
-2
+ 2
-4
= 0.5 + 0.25 + 0.0625 = (0.8125)
10
0. 1 0 1

The bit represents 2
-1
. The bit represents 2
-2
. The bit represents 2
-3
. The bit represents 2
-4
.
Sign Exponent Mantissa
0 100000000010100000000000000000000000000000000000000000000000000
4 014000000000000
Sign Exponent Mantissa
0 011111111011000000000000000000000000000000000000000000000000000
3 FD8000000000000
Ex.