Question

Перевести число из десятичную систему счисления 46A,3(11)

Answer 1

46А = 1130
3(11) = 17

Answer 2

Converting a Number from Decimal System to Other Number Systems

To convert a number from the decimal system to another number system, such as hexadecimal or binary, you can use different methods depending on the target number system. Let's explore how to convert the number "46A" from the decimal system to other number systems.

Converting to Binary (Base 2)

To convert a decimal number to binary, you can use the division-by-2 method. Here's how you can convert "46A" to binary:

1. Divide the decimal number by 2 and note down the remainder. 2. Divide the quotient obtained in step 1 by 2 and note down the remainder. 3. Repeat step 2 until the quotient becomes zero. 4. The binary representation of the decimal number is obtained by writing the remainders obtained in reverse order.

Let's apply this method to convert "46A" to binary:

46A / 2 = 235 (0)
235 / 2 = 117 (1)
117 / 2 = 58 (0)
58 / 2 = 29 (1)
29 / 2 = 14 (1)
14 / 2 = 7 (0)
7 / 2 = 3 (1)
3 / 2 = 1 (1)
1 / 2 = 0 (1)

The remainders in reverse order are: 1110101010. Therefore, the binary representation of "46A" is 1110101010.

Converting to Octal (Base 8)

To convert a decimal number to octal, you can use the division-by-8 method. Here's how you can convert "46A" to octal:

1. Divide the decimal number by 8 and note down the remainder. 2. Divide the quotient obtained in step 1 by 8 and note down the remainder. 3. Repeat step 2 until the quotient becomes zero. 4. The octal representation of the decimal number is obtained by writing the remainders obtained in reverse order.

Let's apply this method to convert "46A" to octal:

46A / 8 = 113 (6)
113 / 8 = 14 (1)
14 / 8 = 1 (6)
1 / 8 = 0 (1)

The remainders in reverse order are: 156. Therefore, the octal representation of "46A" is 156.

Converting to Hexadecimal (Base 16)

To convert a decimal number to hexadecimal, you can use the division-by-16 method. Here's how you can convert "46A" to hexadecimal:

1. Divide the decimal number by 16 and note down the remainder. 2. Divide the quotient obtained in step 1 by 16 and note down the remainder. 3. Repeat step 2 until the quotient becomes zero. 4. The hexadecimal representation of the decimal number is obtained by writing the remainders obtained in reverse order. For numbers greater than 9, use the corresponding letters A, B, C, D, E, and F.

Let's apply this method to convert "46A" to hexadecimal:

46A / 16 = 289 (10 = A)
289 / 16 = 18 (1)
18 / 16 = 1 (2)
1 / 16 = 0 (1)

The remainders in reverse order are: 1A2. Therefore, the hexadecimal representation of "46A" is 1A2.

In summary, the conversions of "46A" from the decimal system to other number systems are as follows: - Binary: 1110101010 - Octal: 156 - Hexadecimal: 1A2