Section 1: Representation of Numbers Flashcards

1
Q

Q: What is the binary (Base 2) system used for in computers?

A

A: It represents data using 0s and 1s, corresponding to electrical states (on/off).

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2
Q

Q: How do you convert a binary number to a decimal number?

A

A: Sum the binary digits, each multiplied by 2^n, where n is the position from the right, starting at 0.

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3
Q

Q: How do you convert a decimal number to binary?

A

A: Use successive division by 2, recording remainders, and read them from bottom to top.

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4
Q

Q: What is hexadecimal (Base 16), and why is it useful?

A

A: Hexadecimal is a compact way to represent binary, grouping 4 binary digits into one hex digit (0–9, A–F).

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5
Q

Q: How are octal (Base 8) numbers related to binary?

A

A: Octal groups binary digits in sets of 3.

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