Suppose that we wished to develop a base three number system to be used in place of either a decimal system or a base two binary system
a-- How many separate symbols would we need in this system? In the binary system, we can get away with only two, 0 and 1. Will this work in a base three system? How would you write the decimal number 2 ?
b-- Write the decimal numbers 6 and 39 in base three form.
c-- What would be a possible use for this system?© BrainMass Inc. brainmass.com August 17, 2018, 10:44 am ad1c9bdddf
(a) In base 3 system we need the three digits 0, 1 and 2 only and nothing more.
Since 2 is a valid digit in the base 3 system, 2 base 10 = 2 base 3.
(b) We divide 6 by 3 successively until we get zero quotient and write down all the
remainders. This gives starting ...
The expert examines a base-3 system using finite mathematics. How many separate symbols would be needed for the system is determined. Complete, neat and step-by-step solutions are provided.