If 10001 is 17 in binary, what is 18 in binary?

Answer 1

10010.

Answer 2

Hi:

the truth table for binary addition is :

0+0 =0
0+1 =1
1+0 =1
1+1 = 10 { the one is carried over to the next digit}

for example 7 + 3 = 10 decimal

111 is 7 decimal in binary because 4(1)+2(1) +1(1) = 4+2+1=7
011 is 3 decimal in binay because 4(0) +2(1) +1(1) = 2+1= 3

okay let add

{ ignore the # symbol it for postioning thing here it add nothing to the problem okay.

## 111
#+ 011
----------


from our truth table of adding number 1+1 = 10
so :

####1 - ( carry section here)
## 111
#+ 011
----------
#####0

and 1+1= 10 however we have a carry of 1here so get added on
so 1+1+1= 11 So we do the following:

## 11 - ( carry section here)
## 111
#+ 011
----------
### 10

Now we add the next column. Like so: 1+0= 1 but we have a carry of 1 so: 1+1= 10 and we do like so :

# 111 -( carry section here)
## 111
#+ 011
----------
##010

Now in the next column we have a 1 in the carry section but nothing in that column so a zero is put here and added. So 1+0 = 1. And we do the following:


#111 -( carry section here)
+0111
##011
----------
#1010

and 1010 is the answer because 8(1)+(0)4+(1)2+(0)1= 8+2 = 10 decimal

So 3 decimal which is 011 binary and 7 decimal in binary is 111 when add together is 10 decimal; which in binary is 1010

and that is how you add numbers in Binary

Mulitiply in is the same as multiplication of 1 and 0

for example let do 5 times 5 in binary


So 5= 101 binary


##101
#x101
----------
Starting with the right column Multiply 101 by 1 which equals 101

So :


##101
#x101
----------
### 101

now with the next colum from the right multiply the 101 by 0 it equals 0

So


##101
#x101
----------
### 101
## 000

now for the final column multiply 101 by 1 and it equal 101

So


##101
#x101
----------
### 101
## 000
# 101
-------------


Add the partial additions here to get :

##101
#x101
----------
### 101
## 000
# 101
-------------
11001

Let see if this is the right answer

16(1) +8(1) +4(0) +2(0)+1(1) = 16 + 8+1= 25

So 5 x 5 = 25
or 101(5 binary) time 101( 5 binary) = 11001(25 binary )
this check out


Division is a bit more involved but lets do it:

5 divided by 2

So 5 =101 and 2= 10

setup the problem like so:


##___________________
10/101.00000000000000


So let start by how many 10 will go into 10 the answer 1

So

##_1_________________
10/101.00000000000000
-10
-----------
### 1

how many 10 will go in to 1 answer 0 So

##_10._________________
10/101.00000000000000
-10
-----------
####1
### -0
------------
####10

Put our decimal point here{ because we reached it } and
How many 10 will go into 10 answer 1

So :

##_10.1_________________
10/101.00000000000000
-10
-----------
####1
### -0
------------
####10
### -10
---------------
######0

No need to go any farther all the rest are zeros from here

So the answer is 10.1 binary which is

2(1)+ 1(0) + (1)(1/2) = 2 1/2 decimal which is the correct answer

use this to help you :



So to find out what 11111101 binary is in decimal then do the following :


4096, 2048, 1024, 512 , 256 , 128 , 64 , 32 , 16 , 8, 4, 2 1
##0####0####0###0####0####1###... 1#1#0#1

Put in the 1's and zero's in the 2 place holders like I got above here.

multiply the 1 and the zeros where they appear in the 2's place holder { I ignore the the leading zeros here} like so:

128(1)+64(1)+32(1)+ 16(1)+8(1) +4(1) +2(0)+1(1)

128+64+32+16+8+4+1 = 253

so: 11111101 binary is 253 decimal

the best way to do this is to set your computer's calulator to Binary by clicking the bin circle enter your binary number and select the dec circle to tell you what the decimal number is




Hope this helps

Answer 3

While your teacher probably wants you to say 10010, the 18th natural binary number following 10001, the 17 natural binary number, in reality, any answer can work using some formula or other. Given any set of data points, there is some formula, however complex and not always a proper function, that relates them. That's why I never liked this kind of problem.

Answer 4

10010
= 1 x 2^4 + 0 + 0 + 1 x 2^1 + 0
= 16 + 2
= 18

Answer 5

10010

place holders in bianary

16 8 4 2 1 for 17 in decimal, just put in the numbers
1 0 0 0 1 16+1 = 17, so 17 in bianary is 10001, for 18
1 0 0 1 0 16+2 =18

the place holders keep expandingin value by facors of 2 if you have to go on
32 is next... then 64... 128.... 256... 512.... 1024

Answer 6

If a number is 1 in a column in binary. The next number is 1 in the other colum is 0 in the next colum. So the answer is 10010.

Answer 7

in binary u devidea no by 2 over n oer again n put the remainder of each devision from last to first or
18%2 0
9%2 1
4%2 0
2%2 0
1
hence the binary equivalent is
10010

Answer 8

I'm trying to figure out how you figured out 10001 in binary is 17 in decimal. If you knew that, why couldn't you figure out what 18 is?

Answer 9

The answer is 10010.
Divide 18 by 2. You get 9 as quotient. Write 0(the remainder) beside it. Then again divide 9 by 2. You get 4. Write 1(the remainder) beside it. Then again divide 4 by 2. You get 2. Write 0(the remainder) beside it. Then divide 2 by 2. U get 1 and 0 as remainder. Then the remaining 1 is a remainder, when divided by 2. Read the remainders backwards and you get 10010.

Answer 10

18 = 16 + 2. Now put that in binary:
10000 + 10 = 100010.

Answer 11

18 in binary will be

10010