16. Convert the following decimal notation to an equivalent binary notation: 2.75
17. If the following uses the floating-point format defined in
Figure 1.25 of the textbook,
what is the decimal notation for this number: 01100101
18. Encode the following decimal value using the 8-bit floating-point format of Figure 1.25: 7/8
HINT: Be sure to use the normalized form.
Note: Answer should be in the format n nnn nnnn
19. Encode the following decimal value using the 8 bit floating point format of Figure 1.24: 7/8
(HINT: be sure to use the normalized form.)
Note: answer should be in the format of "n nnn nnnn"
20. The three bit patterns 01101000, 10000010, 00000010 are representations of the same value in two_s complement, excess, and the eight-bit floating point format presented in Figure 1.24, but not necessarily in that order. What is the common value, and which pattern is in which notation?
1. |
Common value = 48 0110 1000 ... eight-bit floating point format 1000 0010 ... two_s complement 0000 0010 ... excess |
|
2. |
Common value = 4 0110 1000 ... two_s complement 1000 0010 ... excess 0000 0010 ... eight-bit floating point format |
|
3. |
Common value = 24 0110 1000 ... excess 1000 0010 ... eight-bit floating point format 0000 0010 ... two_s complement |
|
4. |
Common value = 2 0110 1000 ... eight-bit floating point format 1000 0010 ... excess 0000 0010 ... two_s complement |
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