Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

How to convert binary number into decimal numBer Tell me fastly .I need answer

How to convert binary number into decimal numBer
Tell me fastly .I need answer
 
 

Grade:11

1 Answers

Arun
25763 Points
2 years ago

We saw above that in the decimal number system, the weight of each digit from right to left increases by a factor of 10. In the binary number system, the weight of each digit increases by a factor of  2 as shown. Then the first digit has a weight of  1 ( 20 ), the second digit has a weight of  2 ( 21 ), the third a weight of  4 ( 22 ), the fourth a weight of  8 ( 23 ) and so on.

So for example, converting a Binary to Decimal number would be:

Decimal Digit Value 256 128 64 32 16 8 4 2 1
Binary Digit Value 1 0 1 1 0 0 1 0 1
 

By adding together ALL the decimal number values from right to left at the positions that are represented by a “1” gives us:  (256) + (64) + (32) + (4) + (1) = 35710 or three hundred and fifty seven as a decimal number.

Then, we can convert binary to decimal by finding the decimal equivalent of the binary array of digits 1011001012 and expanding the binary digits into a series with a base of  2 giving an equivalent of 35710 in decimal or denary.

Note that in number conversion systems “subscripts” are used to indicate the relevant base numbering system, 10012 = 910. If no subscript is used after a number, then it is generally assumed to be decimal.


 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free