Quiz 1 Solutions

Mon Feb 1

You have up to 20 minutes. You may use a standard calculator, but no text book or notes.

  1. Suppose we have the digits 125, written using base six. What quantity does that represent, expressed in base ten? +4

    The column values in base six are (left to right) 36, 6, and 1. So this number is 1×36 + 2×6 + 5×1 = 36 + 12 + 5 = 53.

  2. Convert the following unsigned binary numbers into base ten. +6

    1. 11100    = 28
    2. 111    = 7
    3. 11010    = 26
    4. 11001    = 25

  3. Convert the following base ten numbers into binary. +6

    1. \(12\)    = 1100
    2. \(17\)    = 10001
    3. \(31\)    = 11111
    4. \(40\)    = 101000

  4. Convert the hexadecimal number 2D3 to binary. +2

    0010 1101 0011

  5. Convert the octal number 716 to binary. +2

    111 001 110

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