NDA Maths Mock Test – 01 – Q38

Question:

In the binary equation (1p101)2 + (10q1)2 = (100r00)2 , where p, q and r are binary digits, what are the possible values of p, q and r respectively?

In the binary equation (1p101)2 + (10q1)2 = (100r00)2 , where p, q and r are binary digits, what are the possible values of p, q and r respectively?

Options:

  • 1, 0, 1
  • 0, 0, 1
  • 0, 1, 0
  • 1, 1, 0
  • 1, 0, 1
  • 0, 0, 1
  • 0, 1, 0
  • 1, 1, 0

Correct Answer: a)

Explanation:

‘ Gi√en, binary equation
‘ (1p101); + (10g1); = (100700),
‘ 1p101 /-+0+0=0
+10q1 1+0=1
‘ 100700 \1+1=10
i So,p=0,q=1landr=0
139.

‘ Gi√en, binary equation
‘ (1p101); + (10g1); = (100700),
‘ 1p101 /-+0+0=0
+10q1 1+0=1
‘ 100700 \1+1=10
i So,p=0,q=1landr=0
139.

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