Assignment 1

 Unit 1: Number Systems and Binary Arithmetic

3 Marks Questions

(Answer following)

1. List and define the different types of number systems.
   Mention the bases for Binary, Octal, Decimal, and Hexadecimal systems.

2. What is the binary equivalent of the decimal number 19?

3. List the steps to convert a hexadecimal number into a decimal number.

4. What is the base for the following number systems: Binary, Octal, and Hexadecimal?

5. Define binary arithmetic.
   List the basic operations that can be performed using binary numbers.

6. List the rules for binary addition and subtraction.

4 Marks Questions

(Answer following)

1. Convert the following decimal number 45 to its binary equivalent.
   Show the step-by-step process.

2. Convert the binary number (11011)₂ to its decimal and hexadecimal equivalents.

3. Perform binary addition for the following numbers: (1011)₂ + (1101)₂.
   Show the complete calculation.

4. Convert the hexadecimal number (2A7)₁₆ to its binary and decimal equivalents.

5. Convert the following octal number (372)₈ to its binary and hexadecimal forms.

6. Perform binary multiplication: (101)₂ × (110)₂.
   Show the detailed process.

7 Marks Questions (Understand Level)

(Answer following)

1. Explain the process of converting a binary fractional number to its decimal equivalent.
   Convert the binary number (1101.101)₂ to its decimal form and explain each step.

2. Perform binary division for the following: (101101)₂ ÷ (101)₂.
   Explain the division process clearly, showing the quotient and remainder.

3. Convert the following number (3F.8)₁₆ from hexadecimal to binary, octal, and decimal.
   Explain each step of the conversion process and the logic behind it.

4. Explain how binary subtraction works by subtracting (10110)₂ - (1001)₂.
   Include borrowing steps and the logic behind the operation.

5. Convert the decimal number 567 to its binary, octal, and hexadecimal equivalents.
   Describe the process of conversion for each system.

6. Explain binary multiplication in detail.
   Perform the multiplication of (1010.1)₂ × (11.01)₂ and describe each step involved in the process.