Question

Из 2 с.с в 10 с.с 1)10011011 2)11010 3)1001101 Из 10 в 2 с.с 1)93 2)152 3)204

Answer 1

1. 155₁₀

2. 26₁₀

3. 77₁₀

1. 1011101₂

2. 10011000₂

3. 11001100₂

Answer 2

To convert numbers from one number system to another, you can use the following methods:

From Binary (2's complement) to Decimal (10):

1. 10011011 in binary is a negative number in 2's complement representation. To convert it to decimal, first find the 1's complement by flipping all the bits: 01100100. Then add 1 to the 1's complement to get the 2's complement representation: 01100101, which is equal to -101 in decimal.

2. 11010 in binary is a positive number. To convert it to decimal, use the positional value of each bit: 11010 = (1 * 2^4) + (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (0 * 2^0) = 16 + 8 + 0 + 2 + 0 = 26

3. 1001101 in binary is a positive number. To convert it to decimal: 1001101 = (1 * 2^6) + (0 * 2^5) + (0 * 2^4) + (1 * 2^3) + (1 * 2^2) + (0 * 2^1) + (1 * 2^0) = 64 + 0 + 0 + 8 + 4 + 0 + 1 = 77

From Decimal (10) to Binary:

1. 93 in decimal can be converted to binary by successive divisions by 2: 93 ÷ 2 = 46 remainder 1 46 ÷ 2 = 23 remainder 0 23 ÷ 2 = 11 remainder 1 11 ÷ 2 = 5 remainder 1 5 ÷ 2 = 2 remainder 1 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Now read the remainders from bottom to top: 1011101

2. 152 in decimal to binary: 152 ÷ 2 = 76 remainder 0 76 ÷ 2 = 38 remainder 0 38 ÷ 2 = 19 remainder 0 19 ÷ 2 = 9 remainder 1 9 ÷ 2 = 4 remainder 1 4 ÷ 2 = 2 remainder 0 2 ÷ 2 = 1 remainder 0 1 ÷ 2 = 0 remainder 1 Read the remainders from bottom to top: 10011000

3. 204 in decimal to binary: 204 ÷ 2 = 102 remainder 0 102 ÷ 2 = 51 remainder 0 51 ÷ 2 = 25 remainder 1 25 ÷ 2 = 12 remainder 1 12 ÷ 2 = 6 remainder 0 6 ÷ 2 = 3 remainder 0 3 ÷ 2 = 1 remainder 1 1 ÷ 2 = 0 remainder 1 Read the remainders from bottom to top: 11001100