Final Answer:
The statement is False. The decimal number 37 in binary representation is 100101, not 00100101. Therefore, the given binary representation, 00100101, does not represent the decimal value 37. OPTION B
Step-by-step explanation:
Converting the decimal number 37 to binary involves dividing the number by 2 successively until the quotient becomes zero and noting the remainders. Starting with 37, dividing by 2 results in a quotient of 18 and a remainder of 1.
Continuing this process, the quotients and remainders are 9 (remainder 0), 4 (remainder 1), 2 (remainder 0), and finally 1 (remainder 0). Reading the remainders from bottom to top yields the binary representation: 100101. Hence, the correct binary representation of the decimal number 37 is 100101, not 00100101 as given.
Therefore, the binary representation 00100101 does not match the correct binary equivalent of 37, which is 100101. The provided representation appears to be erroneous and does not represent the decimal value 37 in binary form. This demonstrates the importance of precision and accuracy in binary conversions, where each digit's position represents a different power of 2 in the binary number system.OPTION B