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1. Figure out what decimal value is represented by the following binary number 0011 1010 0011
2^0+2^1+2^5+2^7+2^8+2^9 = 931
2. Represent the decimal value 517 as a binary number.
0010 0000 0101
3. The binary number system is base 2 and has 2 digits. The decimal number system is base 10 and has 10 digits. The octal system is base 8. How many digits does it have? What are they, starting at 0?
It has 8 digits. They are 0, 1, 2, 3, 4, 5, 6, 7.
4. Suppose the number 523 is a base-8 octal number. What would its value be in decimal? In binary?
In decimal: 339
In binary: 0001 0101 0011
5. Challenging: Convert the base-5 number 243 into decimal.
73
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