Question

Find the representation of the number 256 in thefollowing bases:a. Base six b. Base twelvec. Base two

Answer 1

a. Do it in decimal notation first.
256 = 216 + 36 + 4
= 1*6^3 + 1*6^2 + 0*6^1 + 4*6^0
That would be 1104 in base 6 notation

b. 256 = 1*12^2 + 9*12 + 4*12^0
That would be 194 in base 12 notation, which would should have letter symbols for 10 and 11, although we did not need them.

c. (binary)
256 = 1*2^8 +0*2^7 +0*2^6 +.. 0*2^0
= 100000000