Question

Помогите перевести данный набор( 010010001110010) в десятичный код. Спасибо

Answer 1

010010001110010₂=

=1*2¹³+0*2¹²+0*2¹¹+1*2¹⁰+0*2⁹+0*2⁸+0*2⁷+1*2⁶+1*2⁵+1*2⁴+0*2³+0*2²+1*2¹+0*2⁰=

=2¹³+2¹⁰+2⁶+2⁵+2⁴+2=8192+1024+64+32+16+2=9330₁₀

Answer 2

Converting Binary to Decimal

To convert the binary number 010010001110010 to decimal, we can use the positional notation system. In this system, each digit's value is determined by its position relative to the decimal point.

Starting from the rightmost digit, we assign a value of 2 raised to the power of the position, starting from 0. We then multiply this value by the corresponding digit (0 or 1) and sum up all the values.

Let's break down the conversion step by step:

1. Starting from the rightmost digit, the position values are as follows: - 2^0 = 1 - 2^1 = 2 - 2^2 = 4 - 2^3 = 8 - 2^4 = 16 - 2^5 = 32 - 2^6 = 64 - 2^7 = 128 - 2^8 = 256 - 2^9 = 512

2. Multiply each digit by its corresponding position value: - 0 * 1 = 0 - 1 * 2 = 2 - 0 * 4 = 0 - 0 * 8 = 0 - 1 * 16 = 16 - 0 * 32 = 0 - 0 * 64 = 0 - 0 * 128 = 0 - 1 * 256 = 256 - 1 * 512 = 512

3. Sum up all the values: 0 + 2 + 0 + 0 + 16 + 0 + 0 + 0 + 256 + 512 = 786

Therefore, the binary number 010010001110010 is equal to the decimal number 786.

Please let me know if there's anything else I can help you with!