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Answer:

0110 = 0 × 23  + 1 × 22 + 1 × 21 + 0 × 20
     = 0 + 4 + 2 + 0
     = 6

Powers of Two

Power of 2 10 98 7 6 5 43 2 1 0
Decimal 1024 512256 128 64 32 168 4 2 1
Include?                      

In a binary representation a particular power of two is either included in the sum or not, since the digits are either "1" or "0". In converting representations, it is convenient to have a table.

Here is an 8-bit pattern: 0110 1001. If it represents a number (using binary positional notation), convert the notation to decimal by including the powers of two matching a "1" bit.


QUESTION 14:

Copy 1s from the bit pattern to the last row of the table, starting at the right. Compute the sum of the corresponding decimal numbers.


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