Calculate 243six – 243five
expressing your answer in base 10
A.
0
B.
1
C.
26
D.
46
Correct Answer: 26
Explanation
Since they are of different base, convert to base 10
243six
= (2 x 62) + (4 x 61) + (3 x 60)
= 72 + 24 + 3 = 99 base 10
243six
= 2 x 52 + 4 x 51 +3 x 50
50 + 20 + 3 = 73 base 10
Subtracting them, 99 - 73
= 26
Since they are of different base, convert to base 10
243six
= (2 x 62) + (4 x 61) + (3 x 60)
= 72 + 24 + 3 = 99 base 10
243six
= 2 x 52 + 4 x 51 +3 x 50
50 + 20 + 3 = 73 base 10
Subtracting them, 99 - 73
= 26