Using a 4-bit cell to store integers in 2\'s complement, what is the largest pos

Question

Using a 4-bit cell to store integers in 2's complement, what is the largest positive integer that can be stored?

Question 1 options:

a. 15

b. 32

c. 63

d. 31

e. 7

Question 2

Using a 4-bit cell to store unsigned integers, what is the largest integer that can be stored?

Question 2 options:

a. 15

b. 32

c. 63

d. 31

e. 7

Question 3

8.The decimal number for the 8-bit 2's-complement binary number, 1100 1100 is ________

Question 3 options:

a. -52

b. 52

c. 396

d. -396

e. None of the above

Question 4

If a 12-bit memory location contains D9B in hexadecimal, then the binary representation is ______.

Question 4 options:

a. 1011 1001 1101

b. 1101 1001 1011

c. 1001 1011 1101

d. 1011 1101 1001

e. None of the above

Question 5

Using a 6-bit cell to store integers in 2's complement, what will be stored for -5?

Question 5 options:

a. 111011

b. 111001

c. 000101

d. 100101

e. None of the above

Question 6

Using a 6-bit cell to store integers in 2's complement, what is the decimal number that stored in the cell as 101010?

Question 6 options:

a. 42

b. 22

c. -22

d. -42

e. None of the above

Question 7

Using a 6-bit cell to store integers in 2's complement, what is the decimal number that stored in the cell as 101010?

Question 7 options:

a. 42

b. 22

c. -22

d. -42

e. None of the above

Question 8

Using a 4-bit cell to store unsigned integers, what is the largest integer that can be stored?

Question 8 options:

a. 15

b. 32

c. 63

d. 31

e. 7

Question 9

Using an 8-bit cell to store integers in 2's complement, what is the largest positive integer that can be stored?

Question 9 options:

a. 255

b. 127

c. 63

d. 256

e. 128

Question 10

Using a 6-bit cell to store integers in 2's complement, what is the decimal number that stored in the cell as 010110?

Question 10 options:

a. 28

b. 18

c. 26

d. 22

e. None of the above

Question 11

For IEEE 754 single precision floating point numbers, what is the excess for normalized decimals?

Question 11 options:

a. 255

b. 254

c. 127

d. 126

e. None of the above

a. 15

b. 32

c. 63

d. 31

e. 7

Explanation / Answer

1) e.

An N-bit two's-complement numeral system can represent every integer in the range -(2N? - 1) to +(2N?- ?1 - 1)

So the largest positive integer by 4 bit cell is 24-1 - 1 = 7

2) a

Using a 4-bit cell to store unsigned integers,the largest integer that can be stored is 24 - 1 = 15

3) a

1100 1100 ==>> 0011 0011 + 1 ==>> -52

4) b

D9B ==>> 1101 1001 1011

5) a

- 5 ==>> 2's compliment of 5 ==>> 2's compliment of 000101 ==>> 111010 + 1 ==>> 111011

6) c

101010 it is a negative number ==>> 010101 + 1 ==>>010110 ==>> -22

7) c

same as 6th question repeated

8) a (repeated question same as 2)

9) b (28-1-1 = 127 for explanation see Q1)

10) none of these

010110 == >> 101001 + 1 = 101010

11) c

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