How do you convert 121 base 4 to base 6?

Answer 1

1214 to base 6 = 41

I. Convert 1214to base 10

a. First we count each place digit in thenumber from right to left starting at 0.

1 2 1

2 1 0 -----m

b. Then since it is base 4, we multiply each digit by 3m, where m is thenumber we just counted for it.

1 * 40 = 1 * 1 = 1

2 * 41= 2 * 4 = 8

1 * 42= 1 * 16 = 16

3. Add the products. 1 + 8 + 16 = 25

4. So 1214 = 2510

II. Convert 25 to base 6

a. 25 = 4 x 6 + 1

4 is 25÷ 6

6 is base 6

1 is the remai

nder (25

÷6 = 4 remai

nder 1)

b. take

4 which is the quotie

nt of

25

÷6

4 = 0 x 6 + 4

0 is 4

÷ 6

6 is base 6

4 is the remai

nder (4

÷6 = 0 remai

nder 4)

III. From II a. & b

Taki

ng the remai

nders from bottom to top, we get 41.