Question

Перевести из 10 сс в 2 сс а)59₁₀ б)141₁₀ в)107₁₀ г)125₁₀

Answer 1

59-111011
141-10001101
107-1101011
125-1111101

Answer 2

Converting from Base 10 to Base 2

Converting numbers from base 10 to base 2 involves dividing the number by 2 and keeping track of the remainders. Let's convert the given numbers step by step.

a) 59₁₀ To convert 59 from base 10 to base 2: - 59 ÷ 2 = 29 with a remainder of 1 - 29 ÷ 2 = 14 with a remainder of 1 - 14 ÷ 2 = 7 with a remainder of 0 - 7 ÷ 2 = 3 with a remainder of 1 - 3 ÷ 2 = 1 with a remainder of 1 - 1 ÷ 2 = 0 with a remainder of 1

Reading the remainders from bottom to top, the binary representation of 59₁₀ is 111011₁₀.

b) 141₁₀ To convert 141 from base 10 to base 2: - 141 ÷ 2 = 70 with a remainder of 1 - 70 ÷ 2 = 35 with a remainder of 0 - 35 ÷ 2 = 17 with a remainder of 1 - 17 ÷ 2 = 8 with a remainder of 1 - 8 ÷ 2 = 4 with a remainder of 0 - 4 ÷ 2 = 2 with a remainder of 0 - 2 ÷ 2 = 1 with a remainder of 0 - 1 ÷ 2 = 0 with a remainder of 1

Reading the remainders from bottom to top, the binary representation of 141₁₀ is 10001101₁₀.

c) 107₁₀ To convert 107 from base 10 to base 2: - 107 ÷ 2 = 53 with a remainder of 1 - 53 ÷ 2 = 26 with a remainder of 1 - 26 ÷ 2 = 13 with a remainder of 0 - 13 ÷ 2 = 6 with a remainder of 1 - 6 ÷ 2 = 3 with a remainder of 0 - 3 ÷ 2 = 1 with a remainder of 1 - 1 ÷ 2 = 0 with a remainder of 1

Reading the remainders from bottom to top, the binary representation of 107₁₀ is 1101011₁₀.

d) 125₁₀ To convert 125 from base 10 to base 2: - 125 ÷ 2 = 62 with a remainder of 1 - 62 ÷ 2 = 31 with a remainder of 0 - 31 ÷ 2 = 15 with a remainder of 1 - 15 ÷ 2 = 7 with a remainder of 1 - 7 ÷ 2 = 3 with a remainder of 1 - 3 ÷ 2 = 1 with a remainder of 1 - 1 ÷ 2 = 0 with a remainder of 1

Reading the remainders from bottom to top, the binary representation of 125₁₀ is 1111101₁₀.

So, the conversions from base 10 to base 2 are: a) 59₁₀ = 111011₁₀ b) 141₁₀ = 10001101₁₀ c) 107₁₀ = 1101011₁₀ d) 125₁₀ = 1111101₁₀