GATE Overflow | Digital Logic | Test 1 | Question: 13

Question

$(1217)_8$ is equivalent to

• A. $(1217)_{16}$
• B. $(028F)_{16}$
• C. $(2297)_{10}$
• D. $(0B17)_{16}$

Answer 1

(1217)₈ = (001010001111)₂

Making Groups of four digits from the Right Hand side.

(NOTE :- Hexadecimal representation required 4 bits there fore we are taking group of four bits)

(0010  1000 1111)₂

Which is (28F)₁₆ 

OR (028F)₁₆

Hence answer is B) (028F)₁₆