2.09 Binary Numbers

2.9 Binary Numbers Curriculum Page

Portfolio Reflection Questions:

1. Figure out what decimal value is represented by the following binary number 0011 1010 0011
   • The decimal value 931 is represented.
2. Represent the decimal value 517 as a binary number.
   • The decimal value 517 as a binary number is 1000000101.
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?
   • The octal base system has 8 digits. The order of the digits is 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?
   • The number 523 in decimal form is 399. In binary form it's 101010011.
5. Challenging: Convert the base-5 number 243 into decimal.
   • The base-5 number 243 in decimal form is 73.

Binary/Hex Worksheet linked below.