A-Level End Of Unit Assessment – Binary Number Systems

Subtract the following floating point 16 bit binary numbers of which 10 bits are the mantissa and 6 the exponent:
0111100000 000010 – 0100110000 000011

Present your answer as a normalised, two’s complement, 16 bit floating point binary number (10 bits for the mantissa and 6 bits for the exponent) without spaces.

What is the Hex number ’12’, in binary?

Subtract the following floating point 16 bit binary numbers of which 10 bits are the mantissa and 6 the exponent:
0111000000 000001 – 0100110000 000011

Present your answer as a normalised, two’s complement, 16 bit floating point binary number (10 bits for the mantissa and 6 bits for the exponent) without spaces.

The following binary number is represented in floating point binary notation using 10 bits for the mantissa and 6 for the exponent, both in two’s complement binary.
0100100000000011
Calculate its decimal values.

What’s 1110 in denary?

What is the ‘BASE’ of the binary number system?

The following binary number is represented in floating point binary notation using 10 bits for the mantissa and 6 for the exponent, both in two’s complement binary.
0101100000111111
Calculate its decimal values.

What’s 48 in binary?

Calculate 11011011 – 00001001

Enter your answer below without any spaces.

Calculate 00000101 – 01011010

Enter your answer below without any spaces and leave your answer in ‘two’s complement’ form.

What is the number 14 in binary?

Calculate 10000011 – 00010101

Enter your answer below without any spaces.

Which 2 answers will be accepted in an exam if you are to give the size of a kilobyte in bytes?

What is the greatest number that can be held in two digits of Hex?

Add the following floating point 16 bit binary numbers of which 10 bits are the mantissa and 6 the exponent:
0111100000 000010 + 0100110000 000011

Present your answer as a normalised, two’s complement, 16 bit floating point binary number (10 bits for the mantissa and 6 bits for the exponent) without spaces.

What is the value of B in hexadecimal?

Convert the fixed point binary number 10100111 into decimal.
The byte is made up of 5 integer bits and 3 fraction bits.

Enter your answer below without any spaces.

The following binary number is represented in floating point binary notation using 10 bits for the mantissa and 6 for the exponent, both in two’s complement binary.

Normalise the following floating point number:
1110100010000101

Present your answer as a 16 bit binary number (10 bits for the mantissa and 6 for the exponent)

What is the denary value 164 in Hexadecimal?

Convert the decimal number 1.5625 into a fixed point binary byte with the last 4 bits being fraction bits.

Enter your answer below without any spaces.

Which answer best describes why computers use the binary number system?

What is the problem with the obtaining a 9 bit answer from the addition of two bytes?

Convert the fixed point binary number 10110110 into decimal.
The byte is made up of 3 integer bits and 5 fraction bits.

Enter your answer below without any spaces.

How many bytes in a kilobyte?

Calculate 00001001 – 00010011

Enter your answer below without any spaces and present your answer in denary.