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WAEC Mathematics 1996 Question 2

Question 2

Number Bases

Convert the decimal number 89 to a binary number.

  1. A.101101
  2. B.111001
  3. C.1001001
  4. D.1001101
  5. E.1011001
Show the answer and explanation

Answer: E (1011001)

Explanation

89 = 64 + 16 + 8 + 1, so the binary digits for 64, 32, 16, 8, 4, 2, 1 are 1, 0, 1, 1, 0, 0, 1: 1011001.