Question

Перевести десятичное число 376 в двоичную, восьмеричную и шестнадцатиричную системы счисления

Answer 1

(2)  101111000
(8) 570
(16) 178

Answer 2

Converting Decimal to Binary

To convert the decimal number 376 to binary, we can use the following steps:

1. Divide the decimal number by 2. 2. Write down the remainder (0 or 1). 3. Divide the quotient obtained in step 1 by 2. 4. Repeat steps 2 and 3 until the quotient becomes 0.

Let's apply these steps to convert 376 to binary:

1. 376 divided by 2 equals 188 with a remainder of 0. 2. 188 divided by 2 equals 94 with a remainder of 0. 3. 94 divided by 2 equals 47 with a remainder of 0. 4. 47 divided by 2 equals 23 with a remainder of 1. 5. 23 divided by 2 equals 11 with a remainder of 1. 6. 11 divided by 2 equals 5 with a remainder of 1. 7. 5 divided by 2 equals 2 with a remainder of 1. 8. 2 divided by 2 equals 1 with a remainder of 0. 9. 1 divided by 2 equals 0 with a remainder of 1.

Now, let's read the remainders from bottom to top: 110111000.

Therefore, the decimal number 376 is equal to 110111000 in binary.

Converting Decimal to Octal

To convert the decimal number 376 to octal, we can use the following steps:

1. Divide the decimal number by 8. 2. Write down the remainder. 3. Divide the quotient obtained in step 1 by 8. 4. Repeat steps 2 and 3 until the quotient becomes 0.

Let's apply these steps to convert 376 to octal:

1. 376 divided by 8 equals 47 with a remainder of 0. 2. 47 divided by 8 equals 5 with a remainder of 7. 3. 5 divided by 8 equals 0 with a remainder of 5.

Now, let's read the remainders from bottom to top: 570.

Therefore, the decimal number 376 is equal to 570 in octal.

Converting Decimal to Hexadecimal

To convert the decimal number 376 to hexadecimal, we can use the following steps:

1. Divide the decimal number by 16. 2. Write down the remainder. 3. Divide the quotient obtained in step 1 by 16. 4. Repeat steps 2 and 3 until the quotient becomes 0.

Let's apply these steps to convert 376 to hexadecimal:

1. 376 divided by 16 equals 23 with a remainder of 8 (represented as 8 in hexadecimal). 2. 23 divided by 16 equals 1 with a remainder of 7 (represented as 7 in hexadecimal). 3. 1 divided by 16 equals 0 with a remainder of 1 (represented as 1 in hexadecimal).

Now, let's read the remainders from bottom to top: 178.

Therefore, the decimal number 376 is equal to 178 in hexadecimal.