Question

Переведите число 510 из десятичной системы счисления в двоичную систему счисления. сколько единиц содержит полученное число? в ответе укажите одно число- количество единиц.

Answer 1

Ответ: 8.

Объяснение:

510₁₀ =

= 256 + 128 + 64 + 32 + 16 + 8 + 4 + 2  =

= 1∙2⁸+1∙2⁷+1∙2⁶+1∙2⁵+1∙2⁴+1∙2³+1∙2²+1∙2¹+0∙2⁰ =

= 111111110₂

Answer 2

Converting Decimal to Binary

To convert the decimal number 510 to binary, we can use the following steps:

1. Divide the number by 2 and note down the remainder. 2. Continue dividing the quotient by 2 until the quotient is 0. 3. The remainders, read from the last to the first, give the binary equivalent of the decimal number.

Let's perform the conversion:

510 ÷ 2 = 255, remainder 0 255 ÷ 2 = 127, remainder 1 127 ÷ 2 = 63, remainder 1 63 ÷ 2 = 31, remainder 1 31 ÷ 2 = 15, remainder 1 15 ÷ 2 = 7, remainder 1 7 ÷ 2 = 3, remainder 1 3 ÷ 2 = 1, remainder 1 1 ÷ 2 = 0, remainder 1

Reading the remainders from the last to the first, the binary equivalent of 510 is 111111110.

Number of Ones in the Binary Representation

The binary equivalent of 510, as calculated above, is 111111110. To find the number of ones in this binary representation, we simply count the occurrences of the digit 1.

The number of ones in the binary representation of 510 is 8.