1.What is the binary number system, and why is it used in computers?
2.How do 1 and 0 represent data in a computer system?
3.Convert the decimal number 13 to binary.
4.Convert the decimal number 45 to hexadecimal.
5.Convert the binary number 1010 to decimal.
Ruwan Suraweera Changed status to publish 3 days ago
1.
Answer: The binary number system is a base-2 system that uses only two digits, 0 and 1, to represent all numbers. It is used in computers because it corresponds to the two states of electronic switches (on/off or 1/0).
Description: Computers use binary because their hardware operates with electrical signals that have two states. This system simplifies data representation and processing at the machine level.
Description: Computers use binary because their hardware operates with electrical signals that have two states. This system simplifies data representation and processing at the machine level.
2.
Answer: In a computer, 1 represents an โonโ state (e.g., electrical current flowing), and 0 represents an โoffโ state (e.g., no current). These states encode all data.
Description: The two states allow computers to store and process data efficiently using simple on/off logic, forming the basis of all digital operations.
Description: The two states allow computers to store and process data efficiently using simple on/off logic, forming the basis of all digital operations.
3.
Answer: 13 in binary is 1101.
Description: To convert: 13 รท 2 = 6 remainder 1, 6 รท 2 = 3 remainder 0, 3 รท 2 = 1 remainder 1, 1 รท 2 = 0 remainder 1. Read remainders bottom to top: 1101.
Description: To convert: 13 รท 2 = 6 remainder 1, 6 รท 2 = 3 remainder 0, 3 รท 2 = 1 remainder 1, 1 รท 2 = 0 remainder 1. Read remainders bottom to top: 1101.
4.
Answer: 45 in hexadecimal is 2D.
Description: Divide 45 by 16: 45 รท 16 = 2 remainder 13 (13 = D in hex). Result is 2D. Hex uses 0-9 and A-F (10-15).
Description: Divide 45 by 16: 45 รท 16 = 2 remainder 13 (13 = D in hex). Result is 2D. Hex uses 0-9 and A-F (10-15).
5.
Answer: 1010 in decimal is 10.
Description: Calculate: (1 ร 2ยณ) + (0 ร 2ยฒ) + (1 ร 2ยน) + (0 ร 2โฐ) = 8 + 0 + 2 + 0 = 10.
Description: Calculate: (1 ร 2ยณ) + (0 ร 2ยฒ) + (1 ร 2ยน) + (0 ร 2โฐ) = 8 + 0 + 2 + 0 = 10.
Ruwan Suraweera Changed status to publish 4 days ago
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