Match List I with List II Choose the correct answer from the options given below: LIST I (Statement) LIST II (Value) A. Base-10 (denary) value of the binary number: 100000 I. 100 B. Internet service provider advertises a download speed of 80 megabits per second. What is the time taken in seconds to download an 80 megabyte file ? II. 14 C. A music file is 80 megabytes in size and MP3 file compression reduces the size of a music file by 90%. The number of MP3 files of the size after compression that can be stored on an 800 MB CD III. 32 D. What is the denary (base-10) equivalent to the hexadecimal digit E? IV. 8
A-III, B-IV, C-I, D-II
This question involves matching the given statements in List I with their corresponding values in List II. Let’s solve each part one by one:
- A. Base-10 (denary) value of the binary number: 100000
- The given binary number is \(100000_2\).
- To convert a binary number to a decimal (base-10) number, we multiply each bit by \(2\) raised to the power of its position from the right (starting from 0) and sum the results.
- \(100000_2 = 1 \times 2^5 + 0 \times 2^4 + 0 \times 2^3 + 0 \times 2^2 + 0 \times 2^1 + 0 \times 2^0 = 32_{10}\).
- Therefore, the decimal value is 32.
- B. Internet service provider advertises a download speed of 80 megabits per second. What is the time taken in seconds to download an 80 megabyte file?
- First, we convert megabytes to megabits: \(80 \text{ MB} = 80 \times 8 \text{ megabits} = 640 \text{ megabits}\).
- Using the formula \(\text{Time} = \frac{\text{File Size}}{\text{Download Speed}}\):
- \(\text{Time} = \frac{640 \text{ megabits}}{80 \text{ megabits/second}} = 8 \text{ seconds}.\)
- C. A music file is 80 megabytes in size and MP3 file compression reduces the size of a music file by 90%. The number of MP3 files of this size after compression that can be stored on an 800 MB CD
- Compression reduces the file size by 90%, so the new file size is reduced to 10% of the original.
- New file size = \(80 \text{ MB} \times 0.1 = 8 \text{ MB}\).
- Now, calculate how many such compressed files can fit into an 800 MB CD:
- \(\text{Number of files} = \frac{800 \text{ MB}}{8 \text{ MB/file}} = 100 \text{ files}\).
- D. What is the denary (base-10) equivalent to the hexadecimal digit E?
- In hexadecimal, the digit E represents 14 in decimal.
Based on the above calculations and explanations, the correct matching of List I with List II is:
- A-III: Base-10 value of 100000 is 32 (hidden in options)
- B-IV: Time to download an 80 MB file with a speed of 80 Mbps is 8 seconds
- C-I: Number of MP3 files on an 800 MB CD is 100 (hidden in options)
- D-II: Hexadecimal E is equivalent to decimal 14
Therefore, the correct option is A-III, B-IV, C-I, D-II.
Similar Questions
Given below are two statements with reference to different number systems:
Statement I: (D6C1)16 = (54977)10
Statement II: (41819)10 = (A35B)16
In the light of the above statements, choose the correct answer from the options given below:An Indian company designs a mobile application to process staff records. In each record, 10 bits are used to store staff ID and 20 bytes are used to store staff names. How many staff records can the mobile application support?
Match List I with List II
LIST I (Statement) List II (Value) A. Number of bytes formed from 8 bits I. 6 B. Base-10 (denary) value of the binary number : 110 II. 4 C. If there are 2ᴾ bytes in 1 mega byte, then what is the value of P ? III. 1 D. An ISP company advertises its broadband download speed as 128 mega bits per second. How many 4-mega byte files can be downloaded per second using the company's broad band? IV. 20 Choose the correct answer from the options given below:
In the context of data stored in a computer, what is a byte?
Which of the following statements is/are correct?
(a) For the sequence of integers represented in binary as 00111, 01001, 01011, P………. the next integer P would be represented as 01101
(b) A byte is a binary number consisting of exactly 8 bits
Choose the correct option:
What is the decimal equivalent of binary number 1100110?
What is the binary equivalent of decimal number 75?
If the binary equivalent of the decimal number 53 is 110101, then the binary equivalent of the decimal number 50 is given by:
Important Questions from Binary Number System
Convert decimal number 26.85 into binary equivalent.
Given below are two statements
Statement I: The base of the binary number system is 2.
Statement II: Binary addition is just like decimal addition except that the rules are much simpler.
In light of the above statements, choose the correct answer from the options given below
A-F system is used in which of the following number systems?
How many unique combinations of 0's and 1's can be made with a 5-binary-digit code?
Which of the following number systems uses two numbers to represent data in computer ?
