Question

16.  Convert the following decimal notation to an equivalent binary notation: 2.75 17. If the following uses...

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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