Question

Подскажите пожалуйста! Сколько единиц в двоичной записи десятичного числа 92? Сколько нулей в двоичной записи десятичного числа 88? Перевести число 111 из 10СС в 2СС. Перевести числа 1101010; 111000 и 10101101 из 2СС в 10СС!

Answer 1

Здесь все правильно, поставь лучший пж

Answer 2

Number of Bits in Binary Representation of Decimal Number 92

To determine the number of bits in the binary representation of a decimal number, you can convert the decimal number to binary and count the number of digits.

To convert a decimal number to binary, you 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. 5. Write down the remainders in reverse order to obtain the binary representation.

Let's apply these steps to the decimal number 92:

1. Divide 92 by 2: 92 ÷ 2 = 46, remainder 0. 2. Divide 46 by 2: 46 ÷ 2 = 23, remainder 0. 3. Divide 23 by 2: 23 ÷ 2 = 11, remainder 1. 4. Divide 11 by 2: 11 ÷ 2 = 5, remainder 1. 5. Divide 5 by 2: 5 ÷ 2 = 2, remainder 1. 6. Divide 2 by 2: 2 ÷ 2 = 1, remainder 0. 7. Divide 1 by 2: 1 ÷ 2 = 0, remainder 1.

The remainders in reverse order are: 1011100.

Therefore, the binary representation of the decimal number 92 is 1011100.

To count the number of bits, we count the number of digits in the binary representation. In this case, the binary representation has 7 digits, so there are 7 bits in the binary representation of the decimal number 92.

Number of Zeros in Binary Representation of Decimal Number 88

To determine the number of zeros in the binary representation of a decimal number, you can convert the decimal number to binary and count the number of zeros.

Let's convert the decimal number 88 to binary:

1. Divide 88 by 2: 88 ÷ 2 = 44, remainder 0. 2. Divide 44 by 2: 44 ÷ 2 = 22, remainder 0. 3. Divide 22 by 2: 22 ÷ 2 = 11, remainder 0. 4. Divide 11 by 2: 11 ÷ 2 = 5, remainder 1. 5. Divide 5 by 2: 5 ÷ 2 = 2, remainder 1. 6. Divide 2 by 2: 2 ÷ 2 = 1, remainder 0. 7. Divide 1 by 2: 1 ÷ 2 = 0, remainder 1.

The remainders in reverse order are: 1011000.

Therefore, the binary representation of the decimal number 88 is 1011000.

To count the number of zeros, we count the number of zeros in the binary representation. In this case, the binary representation has 4 zeros, so there are 4 zeros in the binary representation of the decimal number 88.

Converting Decimal Number 111 to Binary

To convert a decimal number to binary, you 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. 5. Write down the remainders in reverse order to obtain the binary representation.

Let's apply these steps to the decimal number 111:

1. Divide 111 by 2: 111 ÷ 2 = 55, remainder 1. 2. Divide 55 by 2: 55 ÷ 2 = 27, remainder 1. 3. Divide 27 by 2: 27 ÷ 2 = 13, remainder 1. 4. Divide 13 by 2: 13 ÷ 2 = 6, remainder 1. 5. Divide 6 by 2: 6 ÷ 2 = 3, remainder 0. 6. Divide 3 by 2: 3 ÷ 2 = 1, remainder 1. 7. Divide 1 by 2: 1 ÷ 2 = 0, remainder 1.

The remainders in reverse order are: 1101111.

Therefore, the binary representation of the decimal number 111 is 1101111.

Converting Binary Numbers to Decimal

To convert a binary number to decimal, you can use the following steps: 1. Start from the rightmost digit of the binary number. 2. Multiply each digit by 2 raised to the power of its position (starting from 0 for the rightmost digit). 3. Sum up the results of the multiplication.

Let's convert the binary numbers 1101010, 111000, and 10101101 to decimal:

1. For the binary number 1101010: - The rightmost digit is 0, so we don't add anything to the sum. - The next digit is 1, so we add 1 * 2^1 = 2 to the sum. - The next digit is 0, so we don't add anything to the sum. - The next digit is 1, so we add 1 * 2^3 = 8 to the sum. - The next digit is 0, so we don't add anything to the sum. - The next digit is 1, so we add 1 * 2^5 = 32 to the sum. - The leftmost digit is 1, so we add 1 * 2^6 = 64 to the sum. - Sum = 0 + 2 + 0 + 8 + 0 + 32 + 64 = 106.

Therefore, the decimal representation of the binary number 1101010 is 106.

2. For the binary number 111000: - The rightmost digit is 0, so we don't add anything to the sum. - The next digit is 0, so we don't add anything to the sum. - The next digit is 0, so we don't add anything to the sum. - The next digit is 1, so we add 1 * 2^3 = 8 to the sum. - The next digit is 1, so we add 1 * 2^4 = 16 to the sum. - The next digit is 1, so we add 1 * 2^5 = 32 to the sum. - The leftmost digit is 1, so we add 1 * 2^6 = 64 to the sum. - Sum = 0 + 0 + 0 + 8 + 16 + 32 + 64 = 120.

Therefore, the decimal representation of the binary number 111000 is 120.

3. For the binary number 10101101: - The rightmost digit is 1, so we add 1 * 2^0 = 1 to the sum. - The next digit is 0, so we don't add anything to the sum. - The next digit is 1, so we add 1 * 2^2 = 4 to the sum. - The next digit is 1, so we add 1 * 2^3 = 8 to the sum. - The next digit is 0, so we don't add anything to the sum. - The next digit is 1, so we add 1 * 2^5 = 32 to the sum. - The next digit is 1, so we add 1 * 2^6 = 64 to the sum. - The leftmost digit is 1, so we add 1 * 2^7 = 128 to the sum. - Sum = 1 + 0 + 4 + 8 + 0 + 32 + 64 + 128 = 237.

Therefore, the decimal representation of the binary number 10101101 is 237.