Discrete Mathematics

Number system Handout 2

Prepared by:

Joseph Malkevitch
Department of Mathematics and Computer Studies
York College (CUNY)
Jamaica, New York 11451

Email: malkevitch@york.cuny.edu

web page:

http://www.york.cuny.edu/~malk


1. For each of the numbers below convert it to base 10:

a. (101011)<sub>2

b.</sub> (1011011)<sub>2

c.</sub> (1011)₃

d. (101001)₄

2. Convert each of the numbers below (which are in base 10) to the base indicated:

a. 124 to base 2.

b. 124 to base 3.

c. 124 to base 4

d. 124 to base 5

e. 124 to base 16