Question

1. Перевести числа из шестнадцатеричной системы счисления в двоичную систему: F10A162. Сколько значащих нулей в восьмеричной записи шестнадцатеричного числа F10A16

Answer 1

F10A16 (16) = 111100010000101000010110 (двоичная)
F10A16 (16) = 1704120510 (8)

Answer 2

Converting Hexadecimal to Binary: F10A16

To convert a hexadecimal number to binary, you can follow these steps:

1. Assign each hexadecimal digit to its corresponding 4-bit binary representation: - 0: 0000 - 1: 0001 - 2: 0010 - 3: 0011 - 4: 0100 - 5: 0101 - 6: 0110 - 7: 0111 - 8: 1000 - 9: 1001 - A: 1010 - B: 1011 - C: 1100 - D: 1101 - E: 1110 - F: 1111

2. Replace each hexadecimal digit with its corresponding binary representation.

Let's apply these steps to the hexadecimal number F10A16:

- F: 1111 - 1: 0001 - 0: 0000 - A: 1010

Therefore, the binary representation of F10A16 is 1111000100001010 [[1]].

Counting Significant Zeros in Octal Representation: F10A16

To determine the number of significant zeros in the octal representation of a hexadecimal number, you can follow these steps:

1. Convert the hexadecimal number to binary. 2. Convert the binary representation to octal. 3. Count the number of leading zeros in the octal representation.

Let's apply these steps to the hexadecimal number F10A16:

1. The binary representation of F10A16 is 1111000100001010. 2. Converting the binary representation to octal, we get 17012. 3. Counting the number of leading zeros in 17012, we find that there are no significant zeros in the octal representation of F10A16 [[2]].

Therefore, the octal representation of F10A16 is 1701.

I hope this helps! Let me know if you have any further questions.