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Exam Questions Papers - Engineering

Q1:

In a number system with radix r, the decimal value of 110 is equal to 4r. The decimal values of 111 and r respective are equal to

A 20, 5

B 16, 4

C 13, 3

D 8, 2

ANS:C - 13, 3

(110)r = 4r ⇒ r2 + r = 4r r(r - 3) = 0 ⇒ r ≠ 0, r = 3 (lll)r = 32 + 3 + 1 = 13.