Math, asked by sharwin4151, 1 month ago

10101 subtracted by 1010 in binary

Answers

Answered by akkibhanu49
1

Answer:

Number 1 in the decimal system

101012 = 2110

Number 2 in the decimal system

10102 = 1010

Their difference is

21 - 10 = 11

Result in binary form

1110 = 10112

Answered by shervinsalaah
1

Answer:1  0  1  1_{2}

Step-by-step explanation:

If a digit in the larger number is smaller than the digit in the smaller number, then the particular digit in the larger number will get one value from the next digit/place. (Basic Subtraction Rule)

2 9 0

-    8 7

In this case 0 is smaller than 7. So, we will get one value from next digit 9

Actually it is in tens place. So one value from 9 would mean 10 such. (So 1 x 10 = 10)

So we have to add 10 to 0. (10 + 0 = 10) (As in the decimal number system base value is 10 we added 10) and subtract 1 from 9 (9 - 1 = 8)

So, it would seem as

   8 10

2 9 0

-    8 7

So, we can subtract simply starting from ones place as usual

10 - 7 = 3

8 - 8  = 0

2 - 0 = 2

So the value is 203

Same as the way we have to apply the logic to binary number system.

1  0  1 0 1

-   1  0 1 0

In this case 0 is smaller than 1. So, we will get one value from next digit 1

Actually it is in the next place. As 2 is the base value of binary number system, one value from 1 would mean 2 such. (So 1 x 2 = 2)

So we have to add 2 to 0. (2 + 0 = 10)  and subtract 1 from 1 (1 - 1 = 0)

If we do the same to all the digits, then the values would be assumed as,

0 2 0 2  

1  0  1 0 1

-   1  0 1 0

0 1  0  1  1

Hope that it was understandable. If my answer was helpful please mark me as brainliest:)

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