Binary numbers are a fundamental concept in computer science and digital technology. Understanding how to work with binary numbers is essential for anyone looking to delve into the world of programming and computer engineering. This worksheet will provide you with exercises to practice converting decimal numbers to binary and vice versa, as well as performing basic arithmetic operations in binary.
By completing this worksheet, you will enhance your understanding of binary numbers and sharpen your skills in working with them. Whether you are a student learning about computer science or a professional looking to expand your knowledge, this worksheet will help you solidify your grasp of binary numbers.
1. Convert the following decimal numbers to binary:
a) 10
b) 27
c) 63
d) 128
e) 255
2. Convert the following binary numbers to decimal:
a) 101
b) 1101
c) 11100
d) 10001
e) 111111
3. Perform the following binary addition:
a) 101 + 11
b) 1101 + 101
c) 11100 + 110
d) 10001 + 1111
e) 111111 + 1
4. Perform the following binary subtraction:
a) 101 – 11
b) 1101 – 101
c) 11100 – 110
d) 10001 – 1111
e) 111111 – 1
5. Challenge: Convert the decimal number 456 to binary.
Completing these exercises will help you reinforce your understanding of binary numbers and improve your skills in working with them. Practice is key to mastering any concept, and working through these problems will make you more comfortable with binary arithmetic. Good luck!