if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your a...
if y = 23\(_{five}\) + 101\(_{three}\) find y leaving your answer in base two
A.
1110
B.
10111
C.
11101
D.
111100
Correct answer is B
First we convert the numbers to base ten
23\(_{five}\)= 2 x 51 + 3 x 50
= 10 + 3 = 13
101\(_{five}\) = (1 x 32) + (0 x 31) + (1 x 30)
= 9 + 0 + 1 = 10
So, y = 13 + 10 = 23
To convert 23 to base 2 (as in the diagram above)
Y = 23
= 10111\(_{five}\)
Answer is B
Similar Questions
Find correct to one decimal place, 0.24633 \(\div\) 0.0306...
Without using table, calculate the value of 1 + sec2 30o...
Simplify 3 log69 + log612 + log664 - log672...
Simplify (3/4 + 1/3) x 4(1/3) ÷ 3(1/4) ...
Solve the equation \(2^7 = 8^{5-x}\)...
The locus of a point which is 5 cm from the line LM is a ...
If \(\begin{vmatrix} 2 & 3 \\ 5 & 3x \end{vmatrix}\) = \(\begin{vmatrix} 4 & 1 \\ 3 &...