Multiple choice general knowledge science & technology

(1101101.1011)2 = ()10

  1. 109.7865

  2. 109.6880

  3. 109.008

  4. 109.6875
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Converting binary 1101101.1011 to decimal: sum the place values (64+32+8+4+1 for the whole number part = 109; 0.5+0.125+0.0625 for the fractional part = 0.6875).

AI explanation

To convert a binary number to a decimal number, we can use the place value system. Each digit in the binary number represents a power of 2, starting from the rightmost digit.

Let's break down the given binary number (1101101.1011)2 into its decimal equivalent:

Starting from the rightmost digit, we have:

1 * 2^0 = 1 1 * 2^1 = 2 0 * 2^2 = 0 1 * 2^3 = 8 1 * 2^4 = 16 0 * 2^5 = 0 1 * 2^6 = 64

For the fractional part, starting from the leftmost digit after the decimal point, we have:

1 * 2^-1 = 0.5 0 * 2^-2 = 0 1 * 2^-3 = 0.125 1 * 2^-4 = 0.0625

Now, let's add up all the values:

1 + 2 + 0 + 8 + 16 + 0 + 64 + 0.5 + 0 + 0.125 + 0.0625 = 109.6875

Therefore, the correct answer is D) 109.6875.

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