Question

Перевести 566,225 из десятичной системы счисления в шестнадцатеричную; 87,325 из десятичной в восьмеричную; 87,325 из десятичной в двоичную.

Answer 1

87,325=127.2463 (8)
87,325=1010111,0101 (10)
566,225=236,3999 (16)

Answer 2

Converting 566,225 from decimal to hexadecimal:

To convert a decimal number to hexadecimal, you can use the repeated division method. Here's how you can convert 566,225 to hexadecimal:

1. Divide the decimal number by 16. - 566,225 ÷ 16 = 35,389 with a remainder of 1.

2. Divide the quotient from step 1 by 16 again. - 35,389 ÷ 16 = 2,212 with a remainder of 13 (represented as D in hexadecimal).

3. Repeat step 2 until the quotient becomes 0. - 2,212 ÷ 16 = 138 with a remainder of 4. - 138 ÷ 16 = 8 with a remainder of 10 (represented as A in hexadecimal). - 8 ÷ 16 = 0 with a remainder of 8.

4. The hexadecimal representation of 566,225 is obtained by writing the remainders from step 3 in reverse order. - The remainders are 8, A, 4, D, 1. - Therefore, 566,225 in hexadecimal is 84D1.

Converting 87,325 from decimal to octal:

To convert a decimal number to octal, you can use the repeated division method. Here's how you can convert 87,325 to octal:

1. Divide the decimal number by 8. - 87,325 ÷ 8 = 10,915 with a remainder of 5.

2. Divide the quotient from step 1 by 8 again. - 10,915 ÷ 8 = 1,364 with a remainder of 3.

3. Repeat step 2 until the quotient becomes 0. - 1,364 ÷ 8 = 170 with a remainder of 4. - 170 ÷ 8 = 21 with a remainder of 2. - 21 ÷ 8 = 2 with a remainder of 5. - 2 ÷ 8 = 0 with a remainder of 2.

4. The octal representation of 87,325 is obtained by writing the remainders from step 3 in reverse order. - The remainders are 2, 5, 2, 4, 3, 5. - Therefore, 87,325 in octal is 252435.

Converting 87,325 from decimal to binary:

To convert a decimal number to binary, you can use the repeated division method. Here's how you can convert 87,325 to binary:

1. Divide the decimal number by 2. - 87,325 ÷ 2 = 43,662 with a remainder of 1.

2. Divide the quotient from step 1 by 2 again. - 43,662 ÷ 2 = 21,831 with a remainder of 0.

3. Repeat step 2 until the quotient becomes 0. - 21,831 ÷ 2 = 10,915 with a remainder of 1. - 10,915 ÷ 2 = 5,457 with a remainder of 1. - 5,457 ÷ 2 = 2,728 with a remainder of 0. - 2,728 ÷ 2 = 1,364 with a remainder of 0. - 1,364 ÷ 2 = 682 with a remainder of 0. - 682 ÷ 2 = 341 with a remainder of 0. - 341 ÷ 2 = 170 with a remainder of 1. - 170 ÷ 2 = 85 with a remainder of 0. - 85 ÷ 2 = 42 with a remainder of 1. - 42 ÷ 2 = 21 with a remainder of 0. - 21 ÷ 2 = 10 with a remainder of 1. - 10 ÷ 2 = 5 with a remainder of 0. - 5 ÷ 2 = 2 with a remainder of 1. - 2 ÷ 2 = 1 with a remainder of 0. - 1 ÷ 2 = 0 with a remainder of 1.

4. The binary representation of 87,325 is obtained by writing the remainders from step 3 in reverse order. - The remainders are 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1. - Therefore, 87,325 in binary is 1010101010010101.