These number representations are used for CDC 3000 series computers.
Floating point numbers are represented by one bit for the sign (S), 11
bits for the exponent, and 36 bits for the fraction. The exponent
is to the base 2, and has a bias of 1024. Negative numbers are in
ones complement, which means that negative exponents have a bias of 1023.
This is because in ones complement there are two zeroes, +0 (all bits
are zero) and -0 (all bits are 1).
SINGLE PRECISION is shown below:
| CDC 48-Bit Floating Point Format | |||||||||||||||||||||||||||||||||||||||||||||||
| S | Exponent | Fraction | |||||||||||||||||||||||||||||||||||||||||||||
| 1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
13 |
14 |
15 |
16 |
17 |
18 |
19 |
20 |
21 |
22 |
23 |
24 |
25 |
26 |
27 |
28 |
29 |
30 |
31 |
32 |
33 |
34 |
35 |
36 |
37 |
38 |
39 |
40 |
41 |
42 |
43 |
44 |
45 |
46 |
47 |
48 |
DOUBLE PRECISION ?
INTEGER numbers are 24 bits long, and are in one's complement.