Q. Digital representations of numerical values of quantities may BEST be described as having characteristics:

A
That are difficult to interpret because they are continuously changing.
B
That vary constantly over a continuous range of values.
C
That vary in constant and direct proportion to the values they represent.
D
That vary in discrete steps in proportion to the values they represent.
Solution:

The fact that digital representation is composed of individual, discrete symbols (decimal digits and abacus beads) necessarily means that it will be able to symbolize quantities in precise steps. On the other hand, an analog representation (such as a slide rule’s length) is not composed of individual steps, but rather a continuous range of motion. The ability for a slide rule to characterize a numerical quantity to infinite resolution is a trade-off for imprecision. If a slide rule is bumped, an error will be introduced into the representation of the number that was “entered” into it. However, an abacus must be bumped much harder before its beads are completely dislodged from their places (sufficient to represent a different number).

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