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level: Binary number system

Questions and Answers List

level questions: Binary number system

QuestionAnswer
What is the formula for the possible range of values that can be stored using 2s compliment-(2^(n-1)) to (2^(n-1) -1)
Define normilisationStoring of a number in a uniformed manor
If a mantissa is negative what is the most significant bit represent?negative of that positional value if that makes sense So like 10001 = -(2^4) + 2^0
What does a negative binary number start with?1
What does a positive binary number start with?0
What is the equation relating to the range of unsigned numbers?0 to ((2^n) -1)
What does the start of a postitive normalised number look like?01
Whats the start of a negative normailsied number start with?10
How can you tell if a number is normalised?Start with 10 or 01
Whats the only possible coding scheme to represent negative numbersTwos compliment
Describe the process of binary multiplicationFor each of the bits of one of the mulplying numbers you multiply by the other bits in the other mupliying number For each bit of the first you, add a 0 to the right Then add each of these up
Describe the process of adding with twos compliemnts when the positive number has a greater magnitudeTake the 2s compliment of the number being taken away Add the other number and the twos comlimitisied number together Any carries are disregerded
Describe the process of adding with twos compliemnts when the negative number has a greater magnitudeTake the 2s compliment of the number being taken away Add the other number and the twos comlimitisied number together Then take the twos compliement of this number
Whats the difference between fixed and floating point binaryFixed point has a specific number of digits reserved for the integer part and fractional part while the floating point does not have a specific number of digits reserved for the integer part and fractional part
HOW are numbers normalised?Ignore this question :)
Describe the process of taking the twos compliment of a numberSwap the 1s and the 0s Add 1
In floating point binary, what does the mantissa decribe?Precision of the value
In floating point binary, what does the exponent describe about a value?Range of the value
Why are floating point numbers possibly inacurate?Because certain numbers (irrational) are unrepresentable in base 2
Between floating and fixed point which has the highest range?Floating
Is flaoting point or fixed more accureate? And whyFloating Gaps between adjacent numbers can be much smaller
Is fixed or flaoting point speedier?Fixed
Why are floating point numbers normalised?For precision FOR A GIVEN NUMBER OF BITS For consistency need caps bit
Whats overflow and underflow?When a vlaue is outside the range of possible values
To achieve the smallest possible value using a menitssa and exponent what bits would need to be 1s?Bit to the right of the dot First bit of the exponent