Section 6.2
Review Questions
Binary numbers
  1. Write out the first 10 powers of 2, starting with 1 (20=1).
answer...
          1           0                  32         5
          2           1                  64         6
          4           2                  128        7
          8           3                  256        8
          16          4                  512        9
  1. By what means do we indicate that 1011 is a binary number, rather than the decimal number one thousand and eleven?
answer...
by a subscript of 2, such as 10112
  1. If you have a calculator, find out what 233 is. If you don't, then estimate it by doubling the first digit.
answer...
8,589,934,592 (about 8.5 billion)
(You could get this by taking 232 from the book and doubling it.)
  1. Convert 10100012 to decimal.
answer...
81
  1. Convert 11011102 to decimal.
answer...
110
  1. Convert 752 to binary.
answer...
1011110000
  1. Convert 999 to binary.
answer...
1111100111
  1. If you have a 40 digit decimal number, approximately how many bits long will its binary equivalent be?
answer...
40 × 3 = 120 bits
  1. Suppose you are given a thousand bit binary number. How long would its decimal equivalent be, approximately?
answer...
1000 ÷ 3 = about 333