Write the steps for various floating point arithmetic operations.

Steps for various floating point arithmetic operations are :

Addition and Subtraction:

1. Check for Zeros: If one or both numbers are zero, return the other number.
2. Align the Mantissas: Adjust the smaller mantissa to match the exponent of the larger one.
3. Add or Subtract the Mantissas: Perform addition or subtraction of the aligned mantissas.
4. Normalize the Result: Adjust the result to ensure it’s in normalized form, maintaining the correct exponent.

Multiplication:

1. Check for Zeros: If one or both numbers are zero, return zero.
2. Add the Exponents: Combine the exponents of the two numbers.
3. Multiply the Mantissas: Perform multiplication of the mantissas and determine the sign of the result.
4. Normalize the Product: Adjust the result to ensure it’s in normalized form, maintaining the correct exponent.

Division:

1. Check for Zeros: If the dividend is zero, return zero or handle division by zero error.
2. Subtract the Exponents: Subtract the divisor’s exponent from the dividend’s exponent.
3. Divide the Mantissas: Perform division of the mantissas and determine the sign of the result.
4. Normalize the Result: Adjust the result to ensure it’s in normalized form, maintaining the correct exponent.

Simplified Explanation:

• Addition/Subtraction: Align numbers, do the math, adjust for size.
• Multiplication: Combine powers, multiply values, adjust size.
• Division: Separate powers, divide values, adjust size.