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1.7 KiB
1.7 KiB
1 | zero | 0 000 00 | 0 | -2 | $$1/4$$ | $$0/4$$ | $$0/4$$ | $$0/16$$ | 0 | 0.0 |
---|---|---|---|---|---|---|---|---|---|---|
2 | Smallest positive denormalized | 0 000 01 | 0 | -2 | $$1/4$$ | $$1/4$$ | $$1/4$$ | $$1/16$$ | $$1/16$$ | 0.0625 |
3 | 0 000 10 | 0 | -2 | $$1/4$$ | $$2/4=1/2$$ | $$2/4=1/2$$ | $$2/16$$ | $$2/16$$ | 0.125 | |
4 | Largest positive denormalized | 0 000 11 | 0 | -2 | $$1/4$$ | $$3/4$$ | $$3/4$$ | $$3/16$$ | $$3/16$$ | 0.1875 |
5 | Smallest positive normalized | 0 001 00 | 1 | -2 | $$1/4$$ | $$0/4$$ | $$4/4=1$$ | $$4/16$$ | $$4/16$$ | 0.25 |
6 | 0 001 01 | 1 | -2 | $$1/4$$ | $$1/4$$ | $$5/4$$ | $$5/16$$ | $$5/16$$ | 0.3125 | |
7 | 0 001 10 | 1 | -2 | $$1/4$$ | $$2/4=1/2$$ | $$6/4$$ | $$6/16$$ | $$6/16$$ | 0.375 | |
8 | 0 001 11 | 1 | -2 | $$1/4$$ | $$3/4$$ | $$7/4$$ | $$7/16$$ | $$7/16$$ | 0.4375 | |
9 | 0 010 00 | 2 | -1 | $$1/2$$ | $$0/4$$ | $$4/4=1$$ | $$4/8$$ | $$4/8$$ | 0.5 | |
10 | 0 010 01 | 2 | -1 | $$1/2$$ | $$1/4$$ | $$5/4$$ | $$5/8$$ | $$5/8$$ | 0.625 | |
11 | 0 010 11 | 2 | -1 | $$1/2$$ | $$3/4$$ | $$7/4$$ | $$7/8$$ | $$7/8$$ | 0.875 | |
12 | One | 0 011 00 | 3 | 0 | 1 | $$0/4$$ | $$4/4=1$$ | $$4/4$$ | $$4/4$$ | 1.0 |
13 | 0 011 01 | 3 | 0 | 1 | $$1/4$$ | $$5/4$$ | $$5/4$$ | $$5/4$$ | 1.25 | |
14 | 0 011 10 | 3 | 0 | 1 | $$2/4=1/2$$ | $$6/4$$ | $$6/4$$ | $$6/4$$ | 1.5 | |
15 | 0 011 11 | 3 | 0 | 1 | $$3/4$$ | $$7/4$$ | $$7/4$$ | $$7/4$$ | 1.75 | |
16 | 0 100 00 | 4 | 1 | 2 | $$0/4$$ | $$4/4=1$$ | $$8/4$$ | $$8/4$$ | 2 | |
17 | 0 100 01 | 4 | 1 | 2 | $$1/4$$ | $$5/4$$ | $$10/4$$ | $$10/4$$ | 2.5 | |
18 | 0 100 10 | 4 | 1 | 2 | $$2/4=1/2$$ | $$6/4$$ | $$12/4$$ | $$12/4$$ | 3 | |
19 | 0 100 11 | 4 | 1 | 2 | $$3/4$$ | $$7/4$$ | $$14/4$$ | $$14/4$$ | 3.5 | |
20 | 0 101 00 | 5 | 2 | 4 | $$0/4$$ | $$4/4=1$$ | $$16/4$$ | $$16/4$$ | 4 | |
21 | 0 101 01 | 5 | 2 | 4 | $$1/4$$ | $$5/4$$ | $$20/4$$ | $$20/4$$ | 5 | |
22 | 0 101 10 | 5 | 2 | 4 | $$2/4=1/2$$ | $$6/4$$ | $$24/4$$ | $$24/4$$ | 6 | |
23 | 0 101 11 | 5 | 2 | 4 | $$3/4$$ | $$7/4$$ | $$28/4$$ | $$28/4$$ | 7 | |
24 | 0 110 00 | 6 | 3 | 8 | $$0/4$$ | $$4/4=1$$ | $$32/4$$ | $$32/4$$ | 8 | |
25 | 0 110 01 | 6 | 3 | 8 | $$1/4$$ | $$5/4$$ | $$40/4$$ | $$40/4$$ | 10 | |
26 | 0 110 10 | 6 | 3 | 8 | $$2/4=1/2$$ | $$6/4$$ | $$48/4$$ | $$48/4$$ | 12 | |
27 | Largest positive normalized | 0 110 11 | 6 | 3 | 8 | $$3/4$$ | $$7/4$$ | $$56/4$$ | $$56/4$$ | 14 |
28 | + infinity | 0 111 0 | - | - | - | - | - | - | $$\infty$$ | - |
29 | NaN | - | - | - | - | - | - | NaN | - |