Question

Переведите в десятичную систему двоичное число 111001101С решением

Answer 1

1110011012 = 1∙28+1∙27+1∙26+0∙25+0∙24+1∙23+1∙22+0∙21+1∙20 = 256+128+64+0+0+8+4+0+1 = 46110 

Получилось: 46110 
Результат перевода:
1110011012 = 46110

Answer 2

Converting Binary Number to Decimal

To convert the binary number 111001101 to decimal, we can use the positional notation method, where each digit's position represents a power of 2.

Step 1: Identify the position value of each digit in the binary number, starting from the right and increasing by a power of 2 for each position.

- 1st position from the right: 2^0 - 2nd position from the right: 2^1 - 3rd position from the right: 2^2 - 4th position from the right: 2^3 - 5th position from the right: 2^4 - 6th position from the right: 2^5 - 7th position from the right: 2^6 - 8th position from the right: 2^7 - 9th position from the right: 2^8

Step 2: Multiply each binary digit by the corresponding power of 2 and sum the results.

- 1 * 2^8 + 1 * 2^7 + 1 * 2^6 + 0 * 2^5 + 0 * 2^4 + 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0

Step 3: Calculate the result.

- 256 + 128 + 64 + 0 + 0 + 8 + 4 + 0 + 1 = 461

Therefore, the decimal equivalent of the binary number 111001101 is 461.