Practice Floating-point Arithmetic (3.7) - Digital Arithmetic - Part B
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Floating-Point Arithmetic

Practice - Floating-Point Arithmetic

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the mantissa in the floating-point representation?

💡 Hint: Think about what part carries the main value.

Question 2 Easy

How do you convert (19) into floating-point form?

💡 Hint: What is the binary representation of 19?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does exponent alignment involve in floating-point addition?

Shifting mantissas
Adding exponents
Normalizing result

💡 Hint: What do you do to the smaller mantissa?

Question 2

True or False: In floating-point multiplication, we subtract exponents.

True
False

💡 Hint: Think about how we handle the mantissas.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

If N1 = 0.1011 × 2^3 and N2 = 0.1101 × 2^1, demonstrate the addition of these two numbers.

💡 Hint: Make sure to align the exponents first.

Challenge 2 Hard

For N1 = 0.111111 × 2^4 and N2 = 0.000100 × 2^2, perform the division.

💡 Hint: Check the mantissa size before proceeding.

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Reference links

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