Match List I with List II List I — Statement List II — Value A. The number of…
2022
Match List I with List II
List I — Statement | List II — Value |
|---|---|
A. The number of bits that make up a byte | I. 5 |
B. Base-10 (denary) value of the binary number: 001111 | II. 8 |
C. Number of minutes to upload a 75 megabyte file at 2 Megabits per second upload speed | III. 10 |
D. If there are 2ᴾ bytes in a Kilobyte then what is the Value of P? | IV. 15 |
Choose the correct answer from the options given below:
Answer: B. A-II, B-IV, C-I, D-III — ConceptDigital quantities are related through fixed units and positional notation. A byte contains 8 bits, and a binary number is converted to decimal by…
- A.
A-I, B-II, C-III, D-IV
- B.
A-II, B-IV, C-I, D-III
- C.
A-III, B-IV, C-I, D-II
- D.
A-II, B-I, C-IV, D-III
Show answer & explanation
Correct answer: B
Concept
Digital quantities are related through fixed units and positional notation. A byte contains 8 bits, and a binary number is converted to decimal by summing each bit multiplied by its power of 2.
Transfer time equals data size divided by transfer rate after both are expressed in matching units. Under the binary convention used here, 1 kilobyte equals 210 bytes.
Application
For A, one byte contains 8 bits, so A matches II.
For B, binary 0011112 equals 8 + 4 + 2 + 1 = 15 in decimal, so B matches IV.
For C, 75 megabytes = 75 × 8 = 600 megabits. At 2 megabits per second, time = 600 ÷ 2 = 300 seconds = 5 minutes, so C matches I.
For D, 1 kilobyte = 1024 bytes and 1024 = 210. Hence P = 10, so D matches III.
Cross-check
Statement | Computed value | Match |
|---|---|---|
A | 8 bits | II |
B | 15 | IV |
C | 5 minutes | I |
D | 10 | III |
Therefore, the matching is A-II, B-IV, C-I, D-III.