Answer the following questions:
1. Figure out what decimal value is represented by the following binary number 0011 1010 0011
Answer
1+2+2^5+2^7+2^8+2^9=1+2+32+128+256+512=931
2. Represent the decimal value 517 as a binary number.
Answer
10 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?
Answer
The octal system has 8 digits. The digits are 0, 1, 2, 3, 4, 5, 6, and 7.
4. Suppose the number 523 is a base-8 octal number. What would its value be in decimal? In binary?
Answer
3x8^0+2x8^1+5x8^2=3+16+320=339 in decimal. The binary number for 523 octal is 101010011
5. Challenging: Convert the base-5 number 243 into decimal.
Answer
3x5^0+4x5^1+2x5^2=3+20+50=73