1. ## convert a base

Convert:

a.) 213 base 5 to base 10

b.) 15 base 10 to base 5

c.) 132 base 4 to base 10

d.) 8 base 10 to base 4

a.) 58

b.) 30

c.) 31

d.) 20

And then I have to do the following:

1.) (22+44)_5 = ?

2.) (32-14)_5

I said:

1.) 71

2.) 12

2. Hello,
Originally Posted by DiscreteW

Convert:

a.) 213 base 5 to base 10

b.) 15 base 10 to base 5

c.) 132 base 4 to base 10

d.) 8 base 10 to base 4

a.) 58
Yes
b.) 30
Yes
c.) 31
Hmmm I get 36, please check it ^^
d.) 20
Yes

And then I have to do the following:

1.) (22+44)_5 = ?

2.) (32-14)_5

I said:

1.) 71
No, but not far. When in base 5, the digit number must not exceed 4.
So 7=5+2 is transformed into 12.
2.) 12
Hmm... I think there is a difference here :
you're not asked for (32)_5 - (14)_5 (which result is 13, not 12), but for (32-14)_5, that is to say (18)_5 = (23)_5

If you do not agree, tell me

3. Originally Posted by Moo
No, but not far. When in base 5, the digit number must not exceed 4.
So 7=5+2 is transformed into 12.

Hmm... I think there is a difference here :
you're not asked for (32)_5 - (14)_5 (which result is 13, not 12), but for (32-14)_5, that is to say (18)_5 = (23)_5
confused on these parts.

So you're saying the answer is (121)_5 for the first...

for the second, how is (18_5) = (23)_5?

4. Originally Posted by DiscreteW
confused on these parts.

So you're saying the answer is (121)_5 for the first...
yes

for the second, how is (18_5) = (23)_5?
$(18)_5=1 \times 5+8 \times 1=1 \times 5+5+3=2 \times 5+3=(23)_5$