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Questions and Answers

What is the base of the binary number system?

2 (correct)
10
8
16

How many digits are used in the octal number system?

8
3 (correct)
16
10

What is the hexadecimal equivalent of the binary number 1010?

A (correct)
D
C
B

Explain the concept of a number system and provide examples of different number systems used in computing and mathematics.

A number system is a system of writing for expressing numbers, which include different symbols and a base. Some examples of number systems used in computing and mathematics are binary (base-2), decimal (base-10), octal (base-8), and hexadecimal (base-16). Signup and view all the answers

What are the similarities and differences between binary and hexadecimal number systems? Provide examples to illustrate your points.

Both binary and hexadecimal number systems are used in computing. The main difference is that binary is a base-2 system, using only 0 and 1, while hexadecimal is a base-16 system, using digits from 0 to 9 and letters A to F. For example, the binary number 1010 is equivalent to the hexadecimal number A. Signup and view all the answers

How is the conversion between different number systems performed? Provide a step-by-step explanation with an example.

The conversion between different number systems involves converting a number from one base to another. For example, to convert the decimal number 25 to binary, divide the number by 2 and record the remainders until the quotient is 0. The remainders in reverse order give the binary equivalent, which is 11001. Signup and view all the answers

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