Practice Number Representation In Computers (9.2) - Principles of Computer Arithmetic in System Design
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Number Representation in Computers

Practice - Number Representation in Computers

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the range of an unsigned binary number with 5 bits?

💡 Hint: Recall the formula involving 2 raised to the power of the number of bits.

Question 2 Easy

What is the main function of the most significant bit in signed binary representation?

💡 Hint: Consider what differentiates positive from negative numbers.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the range of unsigned binary numbers with n bits?

0 to 2^n - 1
2^n to 2^(n+1) - 1
0 to 2^n

💡 Hint: Remember the formula for unsigned numbers with n bits.

Question 2

True or False: 1's complement representation allows for easier addition.

True
False

💡 Hint: Think about the operations involved in binary arithmetic.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Convert the decimal number -6 to 8-bit binary using 2's complement.

💡 Hint: Ensure the result is 8 bits and step through inverts and addition carefully.

Challenge 2 Hard

Discuss the implications of using floating-point representation in scientific calculations where precision is critical.

💡 Hint: Consider real-world scenarios where scientists require precise data for experiments.

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