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    Answers and Explanations

    1.C. A 4-bit binary number has 16 combinations starting with 0000 and continuing on to 1111.
    2.D. 24-bit color is a color scheme that deals with three bytes of colors (red, green, and blue). A binary number with 24 bits has 16,777,216 combinations. 65,536 colors is 16-bit. 256 colors is 8-bit, and 4 billion colors is approximate to 32-bit color.
    3.B. 110 is the binary equivalent of the decimal number 6. 11 in binary equals 3 in decimal. 1010 in binary equals 10 in decimal. 111 equals 7 in decimal.
    4.C. 11111111 is the binary equivalent of the decimal number 255. 00000000 in binary equals 0 in decimal (zero is always zero). 01111111 in binary equals 127 in decimal. 11111110 in binary equals 254 in binary.
    5.D. 212 is equal to 4096. 512 is equal to 29. 1024 is equal to 210. 2048 is equal to 211.
    6.A. 230 is a gigabyte. 220 is a megabyte. 210 is a kilobyte. 240 is a terabyte.
    7.C. In hexadecimal, D is equal to 13. 11 is equal to B; 12 is equal to C; and 14 is equal to E.
    8.B. The OR operator can be represented with the | (pipe) sign or with a + (plus) sign.
    9.B. 1. If both A and B equal 1, and the equation is A AND B, then the answer is 1.
    10.A. music AND (lessons OR computer) is the best search expression to use in order to find records containing “music lessons” and “computer music”.
    11.C. 266MBps equals 266 megabytes per second. Bytes are shown with a capital B. Bits are represented with a lowercase b. Data transfers are normally measured by the second.
    12.A. At identical clock speeds, parallel data transfers are faster than serial data transfers because more bits are sent per second. Dial-up modems and network adapters transfer information serially when sending that information over the Internet.
    13.C. 1GHz (1 GigaHertz) is equal to 1,000,000,000 Hertz. 1,000 Hertz is 1KHz. 1,000,000 Hertz is 1MHz. 1,000,000,000,000 is 1THz.
    14.D. The hexadecimal numbering system has 16 values (0–9 and A–F). You can remember this by thinking Hex (6) plus deci (10) equals 16. Binary has 2 values (0 and 1). Octal has 8 values. Decimal has 10 values (0–9).
    15.B. 240 is the decimal equivalent of the binary number 11110000. 224 equals 11100000. 248 equals 11111000. 252 equals 11111100.

    Case Study 1 Solution

    1: From a pure calculating standpoint, a computer is more efficient at arithmetic and higher forms of math, not only because it is faster, but because it doesn’t deal with as many values as a person does. However, in some cases, a human can put numbers into context much more efficiently than a computer can. So ensues a great debate. Your answer depends on what you are trying to accomplish and what kind of information you are working with.


      

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