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  • Online Test 2 - Digital Logic and Circuit Design
  • If (123)5 = (x3) y, then the number of possible values of...
Multiple choice

If (123)5 = (x3) y, then the number of possible values of x is

  1. 4

  2. 3

  3. 1

  4. 2

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

(123)5 = (x3)y Converting both sides to decimal: ⇒ 25 + 10 + 3 = xy + 3 ⇒ xy + 3 = 38 ⇒ xy = 35 ⇒ x = 5, y = 7 or , x = 7, y = 5  ∴ Total number of solutions: 2

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