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Questions and Answers
Which of the following represents the decimal equivalent of the binary number 1101?
Which of the following represents the decimal equivalent of the binary number 1101?
How many values can be represented by a sequence of 4 bits?
How many values can be represented by a sequence of 4 bits?
What is the value of the subscript '2' in '1102'?
What is the value of the subscript '2' in '1102'?
How many bits are there in a byte?
How many bits are there in a byte?
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What is the range of numbers that can be handled by early computer processors with an 8-bit architecture?
What is the range of numbers that can be handled by early computer processors with an 8-bit architecture?
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On the lowest level, how many different values can a sequence of three bits represent?
On the lowest level, how many different values can a sequence of three bits represent?
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What is the decimal equivalent of the binary number 1010?
What is the decimal equivalent of the binary number 1010?
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How many different values can a byte represent?
How many different values can a byte represent?
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What is the value of the subscript '2' in '1101'?
What is the value of the subscript '2' in '1101'?
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What is the range of numbers that can be handled by early computer processors with an 8-bit architecture?
What is the range of numbers that can be handled by early computer processors with an 8-bit architecture?
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Study Notes
Binary Number System
- A bit is the smallest unit of data and can have a value of either 0 or 1, also represented as "false" or "true".
- A sequence of two bits can represent 2^2 = 4 different values.
Binary Numbers
- Binary numbers are sequences of zeros and ones where the i-th position (read from back to front) has the value 2^i.
- The decimal equivalent of a binary number is calculated by multiplying each digit by 2^i and summing the results.
- Example: The decimal equivalent of the binary number 110_2 is 1 ⋅ 2^2 + 1 ⋅ 2^1 + 0 ⋅ 2^0 = 4 + 2 + 0 = 6.
Bytes and Architecture
- A byte consists of eight bits, which corresponds to an eight-digit number and can take 2^8 = 256 different values.
- Early computer processors had an 8-bit architecture, meaning they could compute with, store, and handle numbers in the range of 0 to 255.
Number Systems
- The hexadecimal number system was invented to make it easier for humans to handle eight-digit numbers.
- There are different number systems, including decimal (base 10), binary (base 2), and hexadecimal.
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Description
Test your knowledge on ASCII code, Unicode, and Markup Languages with this quiz! Learn about the basics of binary numbers and how they represent data in computers.
