Question: A computer uses an 8-bit floating-point representation consistent with IEEE 754 normalized format. It is identical to the 32-bit and 64-bit formats in terms of

A computer uses an 8-bit floating-point representation consistent with IEEE 754 normalized format. It is identical to the 32-bit and 64-bit formats in terms of the meaning of fields and special encodings. The format includes 1 sign bit, 4 exponent bits, and 3 mantissa (magnitude or fraction) bits. As in IEEE 754, 0000 and 1111 in exponent field are reserved.The exponent field employs an excess-7 coding.

The following table gives the 8-bit Excess-7 representation.

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

[Help: in normal binary representation 240 = 111100002 = 1.111 * 27 and 15.5 = 1111.12 = 1.1111 * 23]

What is 01001000 in this representation?

a.1

b.2

c.3

d.4

If x = - 2, how x will be represented?

a.11000000

b.01000000

c.10000010

d.11111110

What is the largest number in this representation, and how it will be represented?

a.11111111 = 155

b.01101111 = 15.5

c.01110111 = 240

d.00111111 = 240

What is the third largest number in this representation, and how it will be represented??

a.11111101 = 153

b.01111101 = 14.5

c.01110101 = 237

d.01110101 = 208

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