GATE CS 2021 Set 1 — Question 16
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Digital Logic → Number Systems & Arithmetic → Number Base Conversions
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Question
Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?
Correct answer
(A) 15
Solution
Step 1: Convert the base 3 number to decimal.Step 2: Convert the decimal number to hexadecimal.
Divide 21 by 16:
Quotient = 1, Remainder = 5.
So, .The hexadecimal representation is 15.
Divide 21 by 16:
Quotient = 1, Remainder = 5.
So, .The hexadecimal representation is 15.
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