Unit 1

Unit 1

Data Representation

[3.1] You are given the following binary sequence: 00100000 01101100 01101111 01110110 01100101 00100000 01111001 01101111 01110101

  • If you were to interpret this sequence as 8 bit numbers, what would the numbers be?
  • If you were to interpret this sequence as text (8 bits per character) what would the text say?
  • If you were to interpret this sequence as RGB colors, how many pixels would there be represented? What color would each pixel be?

[3.2] One bit can represent 0 or 1. With two bits you have four possible combinations, 00, 01, 10, 11. How many different combinations can you make with four bits? What about eight bits?

[3.3] The largest number that one bit can represent is 1. With two bits, the largest number we can represent is 3 (binary 11). What is the largest number that we can represent with four bits? What about eight bits?

[3.4] A 15-110 student just finished playing their favorite video game and got a high score of: fifteen thousand, one hundred and ten. How many digits would it take to represent this number in the decimal number system? What about in the binary number system?

[3.5] Convert each of the decimal numbers below to binary, and the binary numbers to decimal.

  • 8
  • 13
  • 145
  • 000111
  • 10011
  • 11000111

[3.6] Convert each of the characters/text below to binary, and the given binary sequences to characters/text.

  • a
  • f
  • HI
  • 01110111
  • 01111010
  • 01101110 01101111

[3.7] Convert each of the colors below to binary sequences and the given binary sequences to colors:

  • Red is (255,0,0)
  • Yellow is (255,255,0)
  • Magenta is (180, 61, 194)
  • 00000000 11111111 00000000
  • 00011100 11001111 10101000