August 2014
Intermediate to advanced
469 pages
16h 30m
English
Content preview from GPGPU Programming for Games and Science
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CPU Computing 35
TABLE 2. 1: The binary encodings for 8-bit floating-point numbers
hex bsn value hex bsn value hex bsn value
00 +0 0.000000 30 1.0000 ∗ 2
+0
1.0000 60 1.0000 ∗ 2
+3
8.0
01 0.0001 ∗ 2
−2
0.015625 31 1.0001 ∗ 2
+0
1.0625 61 1.0001 ∗ 2
+3
8.5
02 0.0010 ∗ 2
−2
0.031250 32 1.0010 ∗ 2
+0
1.1250 62 1.0010 ∗ 2
+3
9.0
03 0.0011 ∗ 2
−2
0.046875 33 1.0010 ∗ 2
+0
1.1875 63 1.0011 ∗ 2
+3
9.5
04 0.0100 ∗ 2
−2
0.062500 34 1.0100 ∗ 2
+0
1.2500 64 1.0100 ∗ 2
+3
10.0
05 0.0101 ∗ 2
−2
0.078125 35 1.0101 ∗ 2
+0
1.3125 65 1.0101 ∗ 2
+3
10.5
06 0.0110 ∗ 2
−2
0.093750 36 1.0110 ∗ 2
+0
1.3750 66 1.0110 ∗ 2
+3
11.0
07 0.0111 ∗ 2
−2
0.109375 37 1.0111 ∗ 2
+0
1.4375 67 1.0111 ∗ 2
+3
11.5
08 0.1000 ∗ 2
−2
0.125000 ...
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