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What are two differences between binary and decimal numbers? (Choose two.)

a. Binary uses base 10, and decimal uses base 2.
b. Binary has only two possible digits, 0 and 1, while decimal has 10.
c. Binary numbers are used for text encoding, while decimal numbers are used for graphics.
d. Binary numbers are used in networking, while decimal numbers are used in computer programming.

User ZioBudda
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Final answer:

The main differences between binary and decimal number systems are that binary uses base 2 with digits 0 and 1, while decimal uses base 10 with digits from 0 to 9. Binary is commonly used in computer data processing, whereas decimal is used for day-to-day counting and traditional mathematics. The correct answer is B.

Step-by-step explanation:

The question revolves around understanding the differences between binary and decimal number systems. When we compare binary and decimal numbers, there are some key differences:

  • Binary uses base 2, which means it only has two possible digits: 0 and 1. In contrast, decimal uses base 10, which includes ten possible digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  • The use of binary numbers is prevalent in computer data, text encoding, and digital communications because computers process information in bits, which are represented by binary digits. Decimal numbers, however, are typically used in everyday counting and mathematics because they are based on the ten digits most familiar to us.

Therefore, the correct answers to the student's question are:

  • Binary uses base 2, and decimal uses base 10.
  • Binary has only two possible digits, 0 and 1, while decimal has 10.

The other options presented are not accurate descriptions of how binary and decimal numbers are used. It's not that binary is used for networking and decimal for computer programming, nor is it the case that binary is used exclusively for text encoding and decimal for graphics. Both binary and decimal can be used in a variety of applications across different fields.

User Sam Delaney
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