Here are specific questions for each type of base conversion assignment:
1. **Binary to Decimal Conversion:**
- Convert the binary number 1101101 to decimal.
- Perform the binary to decimal conversion for 101011.
- Explain the steps involved in converting a binary number to its decimal equivalent.
2. **Decimal to Binary Conversion:**
- Convert the decimal number 45 to binary.
- Perform the decimal to binary conversion for 128.
- Describe the process of converting a decimal number to its binary representation.
3. **Hexadecimal to Binary and Decimal Conversion:**
- Convert the hexadecimal number 1F to both binary and decimal.
- Perform the conversion for the hexadecimal number A3.
- Discuss any patterns or shortcuts that can be used in converting between hexadecimal, binary, and decimal.
4. **Octal to Decimal and Binary Conversion:**
- Convert the octal number 74 to both decimal and binary.
- Perform the conversion for the octal number 326.
- Explain the relationship between octal and binary, and how each digit in octal corresponds to a set of binary digits.
5. **Mixed Base Conversion:**
- Convert the binary number 101010 to octal and hexadecimal.
- Convert the decimal number 189 to binary and hexadecimal.
- Provide a number in hexadecimal and ask students to convert it to binary, decimal, and octal.
These specific questions should help guide students through the process of base conversion and reinforce their understanding of the topic.
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