Copyright © Dean Johnson 2009 (johnson@wmich.edu)

Quiz#1: Binary Numbers and Codes

The following quiz deals with the subject of binary number conversions and binary codes. The first ECE 2500 exam will have questions appearing very similar to the ones given here. (Go back to homepage.)


  1. Converting (153)10 to base 8 yields which of the following results?

    1. 107
    2. 132
    3. 701
    4. 231
    5. 153

  2. Converting (153)8 to base 10 yields which of the following results?

    1. 107
    2. 132
    3. 701
    4. 231
    5. 153

  3. Converting (1010111)2 to base 8 yields which of the following results?

    1. 531
    2. 721
    3. 44
    4. 135
    5. 127

  4. The two's complement of the number (01010)2 is:

    1. 10101
    2. 10011
    3. 00101
    4. 01100
    5. 10110

  5. Converting (11011.01)2 to base 8 yields which of the following results?

    1. 33.2
    2. 63.2
    3. 63.1
    4. 33.1
    5. 63.01

  6. Converting (.375)10 to base 2 yields which of the following results?

    1. .1011
    2. .110
    3. .1101
    4. .011
    5. .110111111

  7. Converting (169)10 to base 16 yields which of the following results?

    1. 169
    2. 9A
    3. B3
    4. A9
    5. 361

  8. 10111 is the two's complement representation of:

    1. -23
    2. -9
    3. -7
    4. +22
    5. +7

  9. Converting (0111011.100)2 to base 16 yields which of the following results?

    1. 73.8
    2. 3C.4
    3. 3B.8
    4. 73.4
    5. 3B.4

  10. 00111 is the two's complement representation of:

    1. -23
    2. -9
    3. -7
    4. +22
    5. +7

  11. Converting (187)10 to base 8 yields which of the following results?

    1. 205
    2. 135
    3. 273
    4. 372
    5. 531

  12. 10100 is the two's complement representation of:

    1. -11
    2. +12
    3. -12
    4. -20
    5. +20

  13. A Hamming code 1010101 was received. What is the received data?

    1. 1000
    2. 1101
    3. 1010
    4. 0101
    5. 0110

  14. A Hamming code 0010111 was received. The HC should have been 1111111 (based upon the data field received). What bit position is the error?

    1. 1
    2. 6
    3. 3
    4. 7
    5. 5