Final answer:
The question requires binary division, conversion to octal and hexadecimal equivalents, and understanding of scientific notation. After performing the necessary calculations, the hexadecimal equivalent of (53)8 was found to be 2B, which does not match the provided options, indicating there might be a typo in the question.
Step-by-step explanation:
The question involves several calculations in different number bases and notations. For binary division, we divide the binary numbers as if they were decimal, treating '1' as the largest digit and '0' as the smallest. For converting numbers into octal and hexadecimal equivalents, we successively divide the decimal number by the base (8 for octal and 16 for hexadecimal) and use the remainders to find the equivalent value in the new number system. For scientific notation, we express numbers in the form of a decimal multiplied by a power of ten, ensuring that the decimal is greater than or equal to 1 and less than 10. Using these methods, we can solve the given problems.
Hexadecimal equivalent of (53)8:
(53)8 in decimal is 5*81 + 3*80 = 40 + 3 = 43 in decimal. The hexadecimal equivalent of 43 is 2B, making the correct answer (d) 2A,
Please verify the options provided, as the answer I calculated (2B) does not seem to match any of the provided options
.