A Level Binary Arithmetic

What is the main difference between floating point and fixed point representation?

• Fixed point is more accurate than floating point.

• Floating point allows for a larger range of values than fixed point.

• Fixed point is used for decimal numbers, while floating point is used for whole numbers.

• Floating point has fixed precision and is less accurate than fixed point.

Which of the following best describes fixed point representation?

• A method that allows for more precision in storing numbers.

• A way of storing numbers where the position of the decimal point is fixed.

• A method that stores numbers with both an exponent and a mantissa.

• A representation used only for whole numbers.

How is a negative number represented in 2’s complement?

• The most significant bit (MSB) is 1, and the rest of the bits are inverted.

• The most significant bit (MSB) is 0, and the number is inverted.

• The most significant bit (MSB) is 1, and the number is inverted, then 1 is added to the result.

• The most significant bit (MSB) is 0, and the number is simply written in binary.

In 2’s complement representation, how would the number -5 be represented in 8-bit binary?

• 11111011

• 00000101

• 11111010

• 00000011

Which of the following is true about floating point representation?

• It is useful for representing very large or very small numbers, but it has limited precision.

• It uses a fixed number of bits for both the mantissa and exponent.

• It only uses the exponent part to represent the number.

• Floating point representation always uses 32 bits.

What is the binary representation of the decimal number 5.25 in 8-bit fixed point (2 decimal places)?

• 0101.01

• 101.01

• 0101.10

• 101.10

Why might floating point representation be used over fixed point?

• To represent numbers with high precision.

• To handle numbers that are too large or too small for fixed point.

• To store numbers with no fractional part.

• To speed up calculations in all scenarios.

What is the range of values that can be represented with 8-bit fixed point representation?

• -128 to 127

• -255 to 255

• -128 to 128

• 0 to 255

How is the number 0.5 represented in floating point format (with a normalized form, assuming 8 bits for mantissa and exponent)?

• 00000000

• 01000000

• 01100000

• 10000000

What is the effect of using 2’s complement for negative number representation in binary?

• It allows for the representation of both positive and negative numbers, making calculations simpler.

• It limits the range of positive numbers that can be represented.

• It requires more bits to store negative numbers than fixed point.

• It converts all negative numbers to 0.