Convert the decimal number 593 into hexadecimal.

Convert the decimal number 593 into hexadecimal.

• A. 0x251
• B. 0x249
• C. 0x253
• D. 0x25A

Answer: (A)

To convert the decimal number 593 into hexadecimal, the process involves dividing the number by 16 and keeping track of the remainders. 1. First, divide 593 by 16. The result is 37 with a remainder of 1. The remainder represents the least significant digit in the hexadecimal representation. 2. Next, take the quotient (37) and divide it by 16 again. This gives you a quotient of 2 with a remainder of 5. Here, the remainder 5 represents the next digit in the hexadecimal number. 3. Finally, take the new quotient (2) and divide it by 16 one last time. This results in a quotient of 0 with a remainder of 2. Since the quotient is now 0, this remainder is the most significant digit. Now, if you put the remainders together starting from the most significant to the least significant, you get 251 in hexadecimal form. In hexadecimal notation, it is represented as 0x251, where the "0x" is a common prefix to indicate that the number is in hexadecimal format. Therefore, the correct answer is indeed the representation of the decimal number 593 in hexadecimal as 0x251.

To convert the decimal number 593 into hexadecimal, the process involves dividing the number by 16 and keeping track of the remainders.

1. First, divide 593 by 16. The result is 37 with a remainder of 1. The remainder represents the least significant digit in the hexadecimal representation.

2. Next, take the quotient (37) and divide it by 16 again. This gives you a quotient of 2 with a remainder of 5. Here, the remainder 5 represents the next digit in the hexadecimal number.

3. Finally, take the new quotient (2) and divide it by 16 one last time. This results in a quotient of 0 with a remainder of 2. Since the quotient is now 0, this remainder is the most significant digit.

Now, if you put the remainders together starting from the most significant to the least significant, you get 251 in hexadecimal form. In hexadecimal notation, it is represented as 0x251, where the "0x" is a common prefix to indicate that the number is in hexadecimal format.

Therefore, the correct answer is indeed the representation of the decimal number 593 in hexadecimal as 0x251.