Floating Point Binary & Normalisation A-Level

Question 1 of 12

1. Question

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.
0111100000000010
Calculate its decimal values.

Question 2 of 12

2. Question

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.

Question 3 of 12

3. Question

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.
1011100000000011
Calculate its decimal values.

Question 4 of 12

4. Question

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.
1010100000000100
Calculate its decimal values.

Question 5 of 12

5. Question

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.
0111100000111101
Calculate its decimal values.

Question 6 of 12

6. Question

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.

Question 7 of 12

7. Question

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:
0001100000000101

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

Question 8 of 12

8. Question

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:
0011100000000111

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

Question 9 of 12

9. Question

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)

Question 10 of 12

10. Question

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:
1111110010000101

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

Question 11 of 12

11. Question

A real binary number can be represented in normalised floating point binary notation, using 10 bits for the mantissa followed by 6 bits for the exponent, both in two’s complement binary.

Convert the decimal value 4.75 to normalised two’s complement binary, presenting the answer in the form described above.

Question 12 of 12

12. Question

A real binary number can be represented in normalised floating point binary notation, using 10 bits for the mantissa followed by 6 bits for the exponent, both in two’s complement binary.

Convert the decimal value -3.625 to normalised two’s complement binary, presenting the answer in the form described above.