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1. What is the maximum negative 2\'s complement number that can be represented u

ID: 660590 • Letter: 1

Question

1. What is the maximum negative 2's complement number that can be represented using a total of 5 bits?

a) -31

b) -32

c) -15

d) -16

e) none of the above

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2. A computer has an mar (memory address register) of 32-bits. What is the size of virtual memory?

a) 32 Kbytes

b) 64 Kbytes

C) 4Gbytes

d) 4 Mbytes

e) none of the above

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3. A 4-bit two-complement system is in use. What is the range of numbers (in decimal) which can be represented?  

a) +15 to -15

b) +15 to -16

c) +7 to -7

d) +7 to -8

e) none of the above

Explanation / Answer

1. What is the maximum negative 2's complement number that can be represented using a total of 5 bits?

Hint:The two's complement range with N digits is ?(2N???1 ? 1) to +(2N - 1).

-(25???1 ? 1)=-(24 ? 1)=-(16-1)=-15

2. A computer has an mar (memory address register) of 32-bits. What is the size of virtual memory?

32-bit register can address 232 = 4,294,967,296 bytes of memory, or 4 gibibytes (GBytes)

3. A 4-bit two-complement system is in use. What is the range of numbers (in decimal) which can be represented?

Hint:The two's complement range with N digits is ?(2N???1 ? 1) to +(2N - 1).

?(24???1 ? 1) to +(24 - 1).

?(23 ? 1) to +(23).

-7 to +8