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A computer uses 8-bit for FLP (1 bit for sign, 4 bit for exponent with excess-7 rep. (see table below), rest for magnitude). Assume 0000

A computer uses 8-bit for FLP (1 bit for sign, 4 bit for exponent with excess-7 rep. (see table below), rest for magnitude). Assume 0000 and 1111 in exponent field are reserved for denormalization.

Decimal

0

1

2

3

4

5

6

7

Unsigned

0000

0001

0010

0011

0100

0101

0110

0111

Excess-7

Reserved

-6

-5

-4

-3

-2

-1

0

Decimal

8

9

10

11

12

13

14

15

Unsigned

1000

1001

1010

1011

1100

1101

1110

1111

Excess-7

1

2

3

4

5

6

7

reserved

a. What is 11000000?

1

1000

000

Answer: - 1.0 * 2 ^ 1 = - 2

b. How 1 will be represented?

Answer:

c. What is the smallest fraction in this representation? (normalized)

min +ve

d. What is the largest number?

Largest

e. What is the second largest number?

second largest

f. Show that 240 -5 = 240 in this representation.

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