1. The objectives of normalisation include:
2. The idea behind normalisation (put simply) is that the leading digits of the _________________________ and the exponent increased instead wherever possible.
3. For positive numbers, the normalised form starts with a ___________________
4. For negative numbers, the normalised form starts with a 1 followed immediately by a zero.
5. The goal of normalisation, put simply, is to get the binary point in the right position and adjust the_________ accordingly.
6. This floating point number is stored using 4 bits for both the mantissa and exponent (both two’s complement). You can see straight away that this is not normalised because it ____
7. Typically, the binary point is positioned immediately to the right of the sign bit.
8. Normalise this floating point number that has 4 bits (in two’s complement) for the mantissa and the same for the exponent.
9. The floating point number 11000001 is stored using 4 bits for the mantissa and 4 bits for the exponent, both in two's complement. Normalising it would result in:
10. The floating point binary number 11101011 is stored using 5 bits for the mantissa and 3 bits for the exponent, both in two's complement. Normalising it would give:
11. To normalise positive two's complement numbers, all the leading zeros should be removed with the exception of a single zero.
12. To normalise negative two's complement numbers, the leading zeros, instead of the leading ones, should be removed (identical to the process for + numbers)
13. For a two’s complement representation, the truncation error is always positive.
14. Konrad Zuse was the architect of the Z3 computer, which used a 22-bit binary floating-point representation.
15. The binary point between the digits b0 and b1 does not exist physically in the computer.
