How many bits are there in 1 terabyte (TB) of memory?

A) 8 x 10^9

B) 8 x 10^12

C) 10^9

D) 10^12

Answer:

Answer by student

B) 8 x 10^12

Detailed answer by teachoo

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  • A bit is the smallest unit of memory and can have only two values: 0 or 1.
  • A byte is a group of 8 bits and can store one character of data.
  • There are larger units of memory that are multiples of bytes , such as kilobyte (KB), megabyte (MB), gigabyte (GB), terabyte (TB), etc.
  • The relationship between these units is based on the power of 10 or the power of 2 , depending on the context. In this question, we will assume that the units are based on the decimal system . Therefore, 1 KB = 1000 bytes, 1 MB = 1000 KB, 1 GB = 1000 MB, and 1 TB = 1000 GB.

Here is a table with the conversion between memory units based on the decimal system:

Unit

Symbol

Value in bytes

Value in bits

Bit

b

-

-

Byte

B

-

-

Kilobyte

KB

1000 B

8000 b

Megabyte

MB

1000 KB

8000000 b

Gigabyte

GB

1000 MB

8000000000 b

Terabyte

TB

1000 GB

8000000000000 b

  • To find out how many bits are there in 1 TB of memory, we need to multiply the number of bytes by 8. Therefore,

1 TB = 1000 GB x 1000 MB x 1000 KB x 1000 bytes x 8 bits

     = (10^3)^4 x 8 bits

     = 10^12 x 8 bits

     = 8 x 10^12 bits

  • Therefore, option B) is the correct answer.

So, the correct answer is B) 8 x 10^12.

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