80. OCR A Level (H046-H446) SLR13 – 1.4 Floating point binary pa

What is the primary focus of the video?

• Advanced algorithms in computer science

• Introduction to binary numbers

• Normalization of floating point binary numbers

• History of computing

Answer explanation

The primary focus of the video is the normalization of floating point binary numbers, as indicated in the question and correct answer choice.

How many bits are used for the mantissa in the examples provided?

• Eight

• Ten

• Five

• Three

Answer explanation

The correct choice is 'Five' because the examples provided use five bits for the mantissa.

What is the binary point movement for an exponent of three?

• One place to the left

• Two places to the right

• Three places to the right

• Four places to the left

Answer explanation

The correct answer is three places to the right because when the exponent is positive, the binary point moves to the right by the value of the exponent.

What is a characteristic of all positive normalized numbers?

• Start with 00

• Start with 11

• Start with 01

• Start with 10

Answer explanation

All positive normalized numbers start with 01, making this the characteristic shared by them.

What is the correct representation of the number 6.5 in normalized floating point binary?

• Exponent of 3 and mantissa starting with 01

• Exponent of 2 and mantissa starting with 10

• Exponent of 4 and mantissa starting with 00

• Exponent of 1 and mantissa starting with 11

Answer explanation

The correct representation of the number 6.5 in normalized floating point binary is with an exponent of 3 and mantissa starting with 01.

How is the exponent stored?

• In hexadecimal format

• In decimal format

• In two's complement

• In ASCII code

Answer explanation

The exponent is stored in two's complement format, which allows for both positive and negative exponents to be represented efficiently in binary form.

What does a negative exponent indicate?

• An error in calculation

• A positive number

• Movement of the binary point to the left

• Movement of the binary point to the right

Answer explanation

A negative exponent indicates movement of the binary point to the left.

How many different ways can the number one be represented using floating point notation?

• Two ways

• Only one way

• An infinite number

• A finite number

Answer explanation

The correct answer is 'An infinite number' because floating point notation allows for an infinite number of ways to represent the number one.

What is the purpose of normalizing floating point binary numbers?

• To simplify the binary conversion process

• To ensure a consistent representation

• To reduce the storage space required

• To increase the calculation speed

Answer explanation

Normalizing floating point binary numbers ensures a consistent representation, allowing for accurate calculations and comparisons.

What is the correct representation of the DNA number 2.25 in normalized floating point binary?

• Exponent of 1 and mantissa starting with 00

• Exponent of 2 and mantissa starting with 01

• Exponent of 3 and mantissa starting with 10

• Exponent of 4 and mantissa starting with 11

Answer explanation

The correct representation of the DNA number 2.25 in normalized floating point binary is with an exponent of 2 and mantissa starting with 01.