If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y

MATHEMATICS
WAEC 2019

If 23\(_y\) = 1111\(_{\text{two}}\), find the value of y

  • A. 4
  • B. 5
  • C. 6
  • D. 7

Correct Answer: C. 6

Explanation

23\(_y\) = 1111\(_{\text{two}}\),

2 x y\(^1\) + 3 x y\(^0\) = 1 x 2\(^3\) + 1 x 2\(^1\) + 1 x 2\(^o\)

2y + 3 = 8 + 4 + 2 + 1

2y + 3 = 15

\(\frac{2y}{2}\)

\(\frac{12}{2}\)

y = 6



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