Binary numbers?

Question

Can you convert 110102( base 2 number) to base 10?

Please explain..thx

Answer 1

Its not a binary number.

Answer 2

That can't be a base 2 number because the only digits would be 0 and 1, but you have a 2, unless you meant for that to be the subscript for base 2...

In base 10, as you know, the places in a number going from right to left are:
units = 10^0
tens = 10^1
hundreds = 10^2
thousands = 10^3
ten-thousands = 10^4
etc.

Similarly In base 2 the places going from right to left represent:
units = 2^0
twos = 2^1
fours = 2^2
eights = 2^3
sixteens = 2^4
etc.

So if you had the number 11010 base 2 (I assume this is what you meant), it would be:
1 x 16 = 16
1 x 8 = 8
0 x 4 = 0
1 x 2 = 2
0 x 1 = 0

Total = 26

Remember that the digit on the far *right* represents 1. The one next to it on the left represents 2, then 4 then 8, etc. I like to write the powers of 2 above the numbers starting at the ones column and going *left*. Then you can just multiply straight down and add.

16 | 8 | 4 | 2 | 1 <-- Powers of 2 (going left)
--------------------
. 1 | 1 | 0 | 1 | 0 <-- Your base 2 number

.V | V | V | V | V <-- Multiplying down
16 | 8 | 0 | 2 | 0 --> Add to get your answer (26 base 10)

Answer 3

The below website will help you convert any number.

The correct way to convert base 2 (binary) to base 10 (decimal) is draw up a table like so:

128, 64, 32, 16, 8, 4, 2, 1

and place the 0s and 1s under the corresponding numbers
You normally count right to left..
e.g. (assuming the 2 is a typo of '1')

128/64/32/16/8/4/2/1
...........1. .1 .0 1 .0 1
32+16+4+1 = 53
Usually though, binary is 8 bits long, this could be either octal (2x 3bits) or binary without the leading 0's (2short)

Either way, use the source below and it will convert any base to any other number base.

Answer 4

110102 is not base 2 (1 and 0 only)

say you had 110101
then to convert to base 10


1 1 0 1 0 1
1*2^5 + 1*2^4 + 0*2^3 + 1*2^2 + 0*2 + 1*2^0
32 + 16 + 4 + 1 = 53

Answer 5

110102 is not a base 2 number system. A base 2 number system has only two states. This one has three, 1 2, and 3 respectively.

Answer 6

1 1 0 1 0 1 :here
5 4 3 2 1 0 : Counting, starting with zero on the right

1*2^(5)+1*2^(4)+0*2^(3)+1*2^(2)+0*2^(1)+1*2^(0)
2^(5)+2^(4)+2^(2)+2^(0) :get rid off zeros and ones, simplify
32+16+4+1
33+20


53

Answer 7

110102 can't be converted because there is no 2 in base 10

11010 might be converted by doing this

1|2|4|8|16|
1 1 0 1 0

1+2+8=11

Answer 8

Assume you mean 11010 in base 2
16_8_4_2_1
1__1_0_1_0

16 + 8 + 2 = 26 in base ten