Posted by **Anonymous** on Tuesday, January 4, 2011 at 5:01pm.

the binary system is used for computer programming. a binary number consists of a string of digits that are either 0s or 1s

a. if a string of binary code is 5 digits long, how many binary numbers are possible if the first digit is a 1?

b. how many different binary numbers can be represented by a string of binary code with 5 digits if the first digit is 1 and the last two digits are 0?

- math -
**Henry**, Thursday, January 6, 2011 at 5:15pm
The maximum binary numbers ocur when

all 5 digits are 1s: 1 1 1 1 1 base 2.

a. 5 binary numbers are possible.

b. 1 1 1 0 0 base 2.

1*2^4, 1*2^3, and 1*2^2 =

16, 8, and 4 = 3 binary numbers that can be represented.

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