Practice Problems (1.14.6) - Number Systems - Part B - Digital Electronics - Vol 1
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Problems

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Convert -23 into an eight-bit two's complement representation.

💡 Hint: Remember to flip the bits and add one.

Question 2 Easy

What is the decimal equivalent of (00010111) represented in two's complement form?

💡 Hint: Think of whether the number is positive or negative.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does 'two's complement' represent?

Only positive numbers
Only negative numbers
Both positive and negative numbers

💡 Hint: Remember how sign representation works in binary.

Question 2

True or False: In IEEE-754, double precision has more bits than single precision.

True
False

💡 Hint: Recall the bit specifications of both formats.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Convert the decimal number -142 into its IEEE-754 single-precision format.

💡 Hint: Start by converting to binary, then apply the IEEE-754 steps.

Challenge 2 Hard

Show that (2F0) in hexadecimal equals (11111000000) in binary and (2048) in decimal.

💡 Hint: Convert using base-16 to base-2 and then to base-10 carefully.

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