Question

add (110.01)2 and (1.011)2 find decimal values ​

Answer 1

Explanation:

Given:$(110.01)_2$ and $(1.011)_2$

To find: Add the numbers and write result in decimal.

Solution:

Step 1: Add both numbers

1+0=1

0+1=1

0+0=0

1+1=0 and carry 1

$11.010 \\ 01.011 \\ - - - - - \\100 .101$

Step 2: Convert the number in decimal

For that multiply each digit with respective weight of that place.

$(100.101)_2 \\\\ = > 1 \times {2}^{2} + 0 \times {2}^{1} + 0 \times {2}^{0} .1\times {2}^{ - 1} + 0 \times {2}^{ - 2} + 1 \times {2}^{ - 3} \\ \\ = > 4 + 0 + 0. \frac{1}{2} + 0 + \frac{1}{8} \\ \\ = > 4.(0.5 + 0.125) \\ \\ (4.625)_{10}$

Final answer:

Sum of :$(110.01)_2$ and $(1.011)_2$ is 4.625 in decimal.

Hope it helps you.

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