Thread: Multiplying Bases

I don't understand how to multiply bases.

Ex. 342 base 7
X 3 base 7

I understand that you can only use numbers 0,1,2,3,4,5,6 but I just have no idea what else to do. I don't get how to convert it to base 10.

Originally Posted by Avitus

I don't understand how to multiply bases.

Ex. 342 base 7
X 3 base 7

I understand that you can only use numbers 0,1,2,3,4,5,6 but I just have no idea what else to do. I don't get how to convert it to base 10.

It is exactly like multiplying in base ten, just remember where your arithmetic lives



Now the next one is just a bit harder

why is this true?

Remember that multiplication is just repeated addition i.e

i.e we have 1 seven and one left over



And for the last one we have




Now when you multiply just use these compuations and don't forget to carry to the next column.

Also remember what base seven really means is



This is just like base 10 i.e



I hope this helps.