Computer Science, asked by sujathasundaramurty, 4 months ago

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

Answers

Answered by hukam0685
0

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.

To learn more on brainly:

1) Convert 58.75  23.5 to binary form and then perform operation.

https://brainly.in/question/30688565

2)Convert 1010010110011 to HEXADECIMAL and OCTAL

https://brainly.in/question/42464622

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