4.5.4 Binary Number System Flashcards
(13 cards)
Define Signed Binary.
A binary number system that can represent both positive and negative numbers.
Define Unsigned Binary.
A binary number system that can only represent positive numbers.
Define Two’s Complement.
A coding scheme used in signed binary to represent negative as well as positive numbers. A negative number is represented by flipping all its digits and adding 1 to the most significant bit.
Define Exponent.
A component of floating point form that stores the number of positions to move the decimal point.
Define Fixed Point Form.
A form used to represent numbers with a fractional part in any number system. Digits after the fixed point are multiplied by the base raised to a negative power.
Define Floating Point Form.
A form used to represent numbers with a fractional part in any number system. The radix point is free to move due to the presence of an adjustable exponent.
Define Mantissa.
A component of floating point form that stores the non-zero significant digits of a number.
Define Rounding Errors.
Errors inherently introduced to any calculation with fixed or floating point numbers since they cannot store numbers with infinite precisions.
Define Absolute Error.
The difference between the exact correct value and rounded value.
Define Relative Error.
The percentage difference between the exact correct value and rounded value.
Define Normalisation.
The process of ensuring a floating point number is represented as efficiently as possible by adjusting the position of the radix point and exponent.
Define Overflow.
The misrepresentation of a numeric value because it is too large to be represented with the allocated number of digits in the mantissa and exponent.
Define Underflow.
The misrepresentation of a numeric value because it is too small to be represented with the allocated number of digits in the mantissa and the exponent.
