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.
2406 = 2*62 + 4*6 = 9610 = 110 00002
121 is not divisible by 6. 121/6 = 20.166666.....7.
Decimal number 310 is equivalent to (1234) to the base 6
0.256 = 2*8-1 + 3*8-3 + 4*8-5 + 4*8-5 + 6*8-6 + ... = 0.203045 (Base 8), approx
-53/4- 67/20= -23/4 - 127/20 = -115/20 - 127/20 = -242/20 = =121/10 = -121/10-53/4- 67/20= -23/4 - 127/20 = -115/20 - 127/20 = -242/20 = =121/10 = -121/10-53/4- 67/20= -23/4 - 127/20 = -115/20 - 127/20 = -242/20 = =121/10 = -121/10-53/4- 67/20= -23/4 - 127/20 = -115/20 - 127/20 = -242/20 = =121/10 = -121/10
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
2406 = 2*62 + 4*6 = 9610 = 110 00002
To convert base 10 to any other base: 1. divide the number by the new base to give a quotient and a remainder 2. note the remainder 3. set the number to the quotient 4. if the number is not zero repeat from step 1 5. write the remainders in reverse order. eg 10810 to base 4: 108 ÷ 4 = 27 r 0 27 ÷ 4 = 6 r 3 6 ÷ 4 = 1 r 2 1 ÷ 4 = 0 r 1 → 10810 = 12304
121 is not divisible by 6. 121/6 = 20.166666.....7.
To convert a number from base eight to base ten, you multiply each digit by 8 raised to the power of its position from the right, starting at 0. In this case, 436 in base eight can be calculated as (4 x 8^2) + (3 x 8^1) + (6 x 8^0) = 256 + 24 + 6 = 286 in base ten.
-6
Decimal number 310 is equivalent to (1234) to the base 6
6 base 4 = 12 Check Related links
4 goes into 121 30 times, equally. 121/4 equals 30.25.
121
The first ten multiples of 121 are: 1 x 121 = 121 2 x 121 = 242 3 x 121 = 363 4 x 121 = 484 5 x 121 = 605 6 x 121 = 726 7 x 121 = 847 8 x 121 = 968 9 x 121 = 1089 10 x 121 = 1210
0.256 = 2*8-1 + 3*8-3 + 4*8-5 + 4*8-5 + 6*8-6 + ... = 0.203045 (Base 8), approx