Question

Преобразовать десятичнфе числа в двоичные и восьмеричные. 428, 8, 409. Пожалуйста можно с решением очень срочно!)

Answer 1

428(10) 
428 | 214 |  107  |  53  |  26 |  13  |  6  |  3 |  1
0         0      1        1      0      1     0     1    1   <------- 428(10) = 110101100 (2)

428   |    53     |     6     |       
424        48           0
------------------------------ 
 4               5          6      <--------     428(10) = 654(8)

============================================ 
8(10) =1000(2)
8(10) =10(8)
========================================
409(10) =110011001 (2)
409 (10) = 631(8)

409    204    102   51   25   12   6   3   1
1         0        0      1     1    0    0    1   1    <=====  409(10) = 110011001(2)

409       51       6  
408       48       0
------------------------ 
    1         3       6             <=====  409(10) = 631(8)

Answer 2

Converting Decimal Numbers to Binary and Octal

To convert decimal numbers to binary and octal, we can use a simple process. Let's convert the numbers 428, 8, and 409 to binary and octal.

1. Converting Decimal to Binary: To convert a decimal number to binary, we divide the decimal number by 2 repeatedly until the quotient becomes 0. The remainders obtained in each division, read from bottom to top, give us the binary representation of the decimal number.

Let's start with the number 428: - 428 divided by 2 is 214 with a remainder of 0. - 214 divided by 2 is 107 with a remainder of 0. - 107 divided by 2 is 53 with a remainder of 1. - 53 divided by 2 is 26 with a remainder of 1. - 26 divided by 2 is 13 with a remainder of 0. - 13 divided by 2 is 6 with a remainder of 1. - 6 divided by 2 is 3 with a remainder of 0. - 3 divided by 2 is 1 with a remainder of 1. - 1 divided by 2 is 0 with a remainder of 1.

Reading the remainders from bottom to top, we get the binary representation of 428 as 110101100.

Now let's convert the number 8: - 8 divided by 2 is 4 with a remainder of 0. - 4 divided by 2 is 2 with a remainder of 0. - 2 divided by 2 is 1 with a remainder of 0. - 1 divided by 2 is 0 with a remainder of 1.

Reading the remainders from bottom to top, we get the binary representation of 8 as 1000.

Finally, let's convert the number 409: - 409 divided by 2 is 204 with a remainder of 1. - 204 divided by 2 is 102 with a remainder of 0. - 102 divided by 2 is 51 with a remainder of 0. - 51 divided by 2 is 25 with a remainder of 1. - 25 divided by 2 is 12 with a remainder of 1. - 12 divided by 2 is 6 with a remainder of 0. - 6 divided by 2 is 3 with a remainder of 0. - 3 divided by 2 is 1 with a remainder of 1. - 1 divided by 2 is 0 with a remainder of 1.

Reading the remainders from bottom to top, we get the binary representation of 409 as 110011001.

2. Converting Decimal to Octal: To convert a decimal number to octal, we divide the decimal number by 8 repeatedly until the quotient becomes 0. The remainders obtained in each division, read from bottom to top, give us the octal representation of the decimal number.

Let's start with the number 428: - 428 divided by 8 is 53 with a remainder of 4. - 53 divided by 8 is 6 with a remainder of 5. - 6 divided by 8 is 0 with a remainder of 6.

Reading the remainders from bottom to top, we get the octal representation of 428 as 654.

Now let's convert the number 8: - 8 divided by 8 is 1 with a remainder of 0. - 1 divided by 8 is 0 with a remainder of 1.

Reading the remainders from bottom to top, we get the octal representation of 8 as 10.

Finally, let's convert the number 409: - 409 divided by 8 is 51 with a remainder of 1. - 51 divided by 8 is 6 with a remainder of 3. - 6 divided by 8 is 0 with a remainder of 6.

Reading the remainders from bottom to top, we get the octal representation of 409 as 631.

Therefore, the decimal numbers 428, 8, and 409 can be represented in binary and octal as follows:

- 428 in binary is 110101100 and in octal is 654. - 8 in binary is 1000 and in octal is 10. - 409 in binary is 110011001 and in octal is 631.

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