Math Enrichment: Quiz Binary Codes

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Math Enrichment: Quiz Binary Codes
Be sure to show your working.
Be sure to ask if there are any questions you do not understand.
You may use your notes.
Good luck!!
1. Explain what a binary code is and why it is useful for the computer.
2. Perform the following calculations in binary, and then check your work by translating
to normal numbers.
a) 1100 0010 00012 + 0101 11112 =
b) 1010 1110 01012 + 1010 10102 + 0010 01112 =
c) 1011 01012  10102 =
3. How many bits are there in 2 kilobytes?
4. Translate the following numbers:
a) 2DF16 to binary and denary
b) 37 to binary and hexadecimal
c) 1001 11012 to hexadecimal and denary
5. Explain the relationship between binary and hexadecimal numbers
Check your work carefully! If you have time left over:
Explain how you would make a number system base 5.
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