Computer Science - Computer Fundamentals - Discussion

(1010101000010111)base 2=(AA17)base 16

First of all divide binary number with four pairs i.e. 1010 1010 0001 0111.
We know that 1010= 1*2^3 +0*2^2+1*2^1+0*2^0 =8+0+2+0=10 now we Want to convert it into hexadecimal.in hexadecimal(16=0-9+A-f).
Then 10=A.

Similarly calculate 0001=1 and 0111=7
Hence we got (AA17)

First of all we divide given binary number into four digit pairs from right hand side. i.e-1010 1010 0001 0111.

Now we convert these pairs hexadecimal like.

1010 = 1*2^3+0*2^2+1*2^1+0*2^0=8+0+2+0 = 10 = A.

1010 = 1*2^3+0*2^2+1*2^2+0*2^0=8+0+2+0 = 10 = A.

0001 = 0*2^3+0*2^2+0*2^1+1*2^0=0+0+0+1 = 1.

0111 = 0*2^3+1*2^2+1*2^1+1*2^0=0+4+2+1 = 7.

So (1010101000010111)base 2=(AA17)base 16.

Because in hexadecimal 10=A, 11=B, 12=C, 13=D, 14=E, 15=F.

Below are the standard set of values for converting a binary number to a hexadecimal number.

For example,

1. (0001) base 2 means (1)base 16

2. (1000) base 2 means (8)base 16

Like wise we can convert any binary number to hexadecimal value.

Bin: 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111
Hex: 0 1 2 3 4 5 6 7 8 9 A B C D E F