Answer the following questions:
1. Figure out what decimal value is represented by the following binary number 0011 1010 0011
Answer
1+2+32+128+256+512=931
2. Represent the decimal value 517 as a binary number.
Answer
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?
Answer
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?
Answer
binary: 101 010 011; decimal: 339 (1+2+16+64+256)
5. Challenging: Convert the base-5 number 243 into decimal.
Answer
73=(2x25=50)+(4x5=20)+(3x1=3)