ONE 6th FORM Floating/Fixed Point Binary

What is the IEEE 754 standard for representing floating point numbers in binary?

• It is a standard for representing characters in binary.

• It is a standard for representing decimal numbers in binary.

• It is a standard for representing floating point numbers in binary.

• It is a standard for representing integers in binary.

Explain the process of normalizing a floating point number in binary representation.

• Shifting the binary point to the left or right until there is only one non-zero digit to the left of the binary point.

• Multiplying the binary number by a random factor

• Adding or subtracting a constant value from the binary number

• Converting the binary number to decimal

What is the significance of the mantissa and exponent in the binary representation of a floating point number?

• They dictate the speed and direction of the floating point number.

• They determine the color and size of the floating point number.

• They control the temperature and humidity of the floating point number.

• They determine the precision and range of the floating point number.

How is the sign bit represented in the binary representation of a floating point number?

• As the rightmost bit in the binary representation

• It is not represented in the binary representation

• As the leftmost bit in the binary representation

• As the middle bit in the binary representation

Explain the concept of binary point arithmetic and its significance in computer systems.

• Binary point arithmetic is a method of performing arithmetic operations on binary numbers using a floating octal point.

• Binary point arithmetic is insignificant in computer systems as it only works with whole numbers.

• Binary point arithmetic is a method of performing arithmetic operations on decimal numbers using a fixed binary point.

• Binary point arithmetic is a method of performing arithmetic operations on binary numbers using a fixed or floating binary point. It is significant in computer systems as it allows for efficient representation and manipulation of real numbers in digital form.

What are the advantages of using binary point arithmetic in computer systems?

• Limited storage capacity for data

• Inefficient representation of decimal numbers

• Faster processing of large integers

• Efficient representation and manipulation of fractional numbers

How is fixed point binary representation different from floating point binary representation?

• Fixed point binary representation uses a fixed number of bits for the integer and fractional parts, while floating point binary representation uses a variable number of bits for the exponent and mantissa.

• Fixed point binary representation uses a variable number of bits for the integer and fractional parts, while floating point binary representation uses a fixed number of bits for the exponent and mantissa.

• Fixed point binary representation uses a variable number of bits for the exponent and mantissa, while floating point binary representation uses a fixed number of bits for the integer and fractional parts.

• Fixed point binary representation uses a variable number of bits for both the integer and fractional parts, while floating point binary representation uses a fixed number of bits for the exponent and variable number of bits for the mantissa.

Explain the process of converting a decimal number to fixed point binary representation.

• Subtract the decimal number by 2 and note the difference at each step until the quotient becomes 0.

• Multiply the decimal number by 2 and note the product at each step until the quotient becomes 0.

• Divide the decimal number by 2 and note the remainder at each step until the quotient becomes 0.

• Add the decimal number by 2 and note the sum at each step until the quotient becomes 0.

What are the limitations of using fixed point binary representation in computer systems?

• Limited precision and range

• Limited speed and efficiency

• Unlimited precision and range

• No impact on computational accuracy

What is the process of converting a floating point number to binary representation?

• Divide the floating point number by 2 and note the remainder at each step until the quotient becomes 0.

• Subtract the floating point number by 2 and note the difference at each step until the quotient becomes 0.

• Multiply the floating point number by 2 and note the product at each step until the quotient becomes 0.

• Separate the number into its integer and fractional parts, convert each part to binary separately, and then combine them with a binary point in between.