Understanding Floating Point Binary (video)

How is the number 6.5 represented in binary?

• 11001100

• 00000110.1

• 00110100

• 01101000

What does the leftmost bit in a binary number represent in two's complement format?

• It indicates the binary point.

• It always represents a negative number.

• It is used for storing fractional parts.

• It always represents a positive number.

What is the biggest positive number that can be stored in an 8-bit fixed point binary format?

• 15.875

• 127.5

• 7.875

• 255

Why can't a third be precisely represented in fixed point binary?

• Because it repeats forever.

• Due to limited bits for the fractional part.

• Because it's an irrational number.

• All numbers can be precisely represented.

What does floating point binary allow us to do?

• Store numbers without any loss of data.

• Use an unlimited number of bits.

• Choose between size and accuracy of the number.

• Store only whole numbers.

What are the two parts of a floating point binary number?

• Mantissa and exponent

• Whole and fractional

• Positive and negative

• Integer and decimal

How many bits are used for the mantissa and exponent in a 32-bit single precision number?

• 8 bits for mantissa, 24 for exponent

• 24 bits for mantissa, 8 for exponent

• 16 bits for each

• 32 bits for mantissa only

What does a positive exponent indicate when converting a floating point binary number to base 10?

• The number is negative.

• No movement of the binary point is needed.

• Move the binary point to the right.

• Move the binary point to the left.

What value does the binary number 01.110000 represent in floating point binary?

• 1.75

• 6

• 0.125

• 15.875

How is a negative exponent handled in floating point binary?

• It's ignored.

• Binary point moves to the right.

• Converts the number to positive.

• Binary point moves to the left.