Identify the correct ascending order of the following numbers under A-D represented in different bases:
(A) (11101011)2 (Base-2 binary number)
(B) (564)8 (Base-8 octal number)
(C) (614)10 (Base-10 decimal number)
(D) (489)16 (Base-16 hexadecimal number)
Choose the correct answer from the options given below:विभिन्न आधारों में निरूपित A-D के अंतर्गत निम्नलिखित संख्याओं के सही आरोही क्रम की पहचान कीजिए:
(A) (11101011)2 [आधार-2 द्विआधारी संख्या]
(B) (564)8 [आधार-8 अष्टाधारी संख्या]
(C) (614)10 [आधार-10 दशमलव संख्या]
(D) (489)16 [आधार-16 षोडशाधारी संख्या]
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Correct answer: D. A, B, C, D
Explanation
Convert to decimal: (11101011)₂ = 128+64+32+8+2+1 = 235; (564)₈ = 5×64 + 6×8 + 4 = 372; (614)₁₀ = 614; (489)₁₆ = 4×256 + 8×16 + 9 = 1161. Ascending: 235 A, B, C, D.दशमलव में बदलने पर: (11101011)₂ = 128+64+32+8+2+1 = 235; (564)₈ = 5×64 + 6×8 + 4 = 372; (614)₁₀ = 614; (489)₁₆ = 4×256 + 8×16 + 9 = 1161। आरोही क्रम: 235 A, B, C, D।More Information and Communication Technology (ICT) questions
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