Number Systems Practice Problems, Slides of Number Theory

Directions: Answer each problem completely. Show work on a separate piece of paper. 1. Convert the following binary numbers to decimal numbers. a.

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Number Systems Practice Problems
Directions: Answer each problem completely. Show work on a separate piece of paper.
1. Convert the following binary numbers to decimal numbers.
a. 100112 b. 1010102
c. 10110112 d. 0100012
2. Convert the decimal number 452 into a binary number.
3. Convert the binary number 11101000111 into a hexadecimal number.
4. Determine whether the following statements are true or false. Show work that supports your
answer.
a. 10012 < 510 b. 01112 = 11110
c. 00112 > 210 d. 10012 > 11012
5. Convert the following hexadecimal numbers to decimal numbers.
a. 7116 b. DE016
c. ABC16 d. 100116
6. Convert the following decimal numbers to hexadecimal numbers.
a. 412 b. 93
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Number Systems Practice Problems

Directions: Answer each problem completely. Show work on a separate piece of paper.

  1. Convert the following binary numbers to decimal numbers. a. 100112 b. (^1010102) c. 10110112 d. (^0100012)
  2. Convert the decimal number 452 into a binary number.
  3. Convert the binary number 11101000111 into a hexadecimal number.
  4. Determine whether the following statements are true or false. Show work that supports your answer. a. 1001 2 < 5 10 b. 01112 = 111 10 c. 0011 2 > 2 10 d. 10012 > 1101 2
  5. Convert the following hexadecimal numbers to decimal numbers. a. 7116 b. DE0 16 c. ABC 16 d. (^100116)

6. Convert the following decimal numbers to hexadecimal numbers.

a. 412 b. 93