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Answer:

!$@# = ! × (!@)$ + $ × (!@)# + @ × (!@)! + # × (!@)@
  = 1 × 43 + 3 × 42 + 0 × 41 + 2 × 40
  = 1 × 64 + 3 × 16 + 0 × 4 + 2 × 1
  = 64 + 48 + 0 + 2
  = 114         

Bit Patterns

Bit patterns like 10110110110 are sloppily called "binary numbers" even when they represent other things (such as characters or machine instructions).

But, of course, bit patterns can be used to represent numbers. Base two positional notation is used for this.


QUESTION 12:

Fill in the blanks in the rules for base TWO positional notation:

  1. The base is .
  2. There are "digits": , , , , .
  3. Positions correspond to integer powers of , starting with power at the rightmost digit, and increasing right to left.
  4. The digit placed at a position shows how many times that power of included in the number.

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