# Number System Questions and Answers (Q&A) #### marlenegalea

in the hexadecimal table the base "B" is represented by decimal 1011 and "2" is represented by the decimal 0010

therefore we combine the "B"decimal with the "2" decimal

hence 10110010 #### marlenegalea

Hexadecimal digits can either be 0-9 or A-F,since hexadecimal is base 16.In our case write a small 1 above the last digit,we are not raising anything to any power but to see what digit means what.so proceed and write 2 above the second last digit,4 above the third digit from right,8 above the fourth digit from right and 16 above the first digit.

16 8 4 2 1

1 1 0 1 1

16 8 0 2 1

each digit represents a different power of 2.So 1 corresponds with 1 so below write 1,2 corresponds with 1 below write 2,4 corresponds with 0 below write 0 8 corresponds with 1 below write 8 and 16 corresponds with 1 below write 16.In our case the numbers written below are in bold.then add all the numbers in bold 16+8+0+2+1=27.so the binary number 11011 converts to 1B in the hexadecimal chart. #### marlenegalea

First you write the binary number down from right to left and just above the binary numbers you write the power of two,making sure each number corresponds by its power of two.

16 8 4 2 1

1 1 0 0 1

move through each digit of the binary number i.e 1 corresponds with 1 so write 1, 2 corresponds with 0 so write 0 ,write its corresponding power of two below the binary digit

16 8 4 2 1

1 1 0 0 1

16 8 0 0 1

So to find the decimal equivalent of the binary number 11001 you sum up the numbers written below the binary number,16+8+0+0+1=25. So the binary number 11001 to decimal is 25. #### marlenegalea

Hexadecimal number system uses 16 different symbols;0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F

So in our case we must first find the largest power of 16 thats smaller than the decimal number 20.

so:

20/16=1.25 so 1 is the first digit of our hexadecimal number.

Next step is to find the remainder.

20-16=4 so 4 is our remainder.

once you get a remainder from 0-15 it can be expressed by a single hexadecimal digit.so 14 is the hexadecimal of the decimal number 20. #### marlenegalea

Hexadecimal is a base 16 numeral system.So

2C= (2 multiply 16 power1) +( C multiply 16 power 0) which equals to C multiply 1

C in our hexadecimal chart equals decimal number 12,so

2 multiply 16 = 32 + 12 multiply 1 =12

32 + 12 = 44. So 2C to decimal equals 44. #### joe

Correct answer is option C – 10110010
First step: look up each octal digit in the decimal, binary, hexa and octal chart table to obtain the equivalent group of four binary digits.
(B) 16 = (1011)2
(2)16 = (0010)2
Join the values and remove any zeros at the left (if present) to get the binary result.
10110010.
Therefore, the binary equivalent of the hexadecimal number B2 is 10110010. #### Wyatt Williams

B means 11 binary equivalent 1011 & 2 binary equivalent 0010

therefore 10110010 #### Wyatt Williams

E must be the Answer you people did not give the option of E since it is a Hexadecimal. #### marlenegalea

Binary numbers are commonly found in math or computer languages. Binary refers to a base-2 number system. Usually, the two numbers that are included in the binary number would be zeroes and ones as in the case of 11011. Computers use binary numbers because older computers operated on an on and off system.

Also, there are ways to convert binary numbers into other base numbers. For instance, an octal has a base 8 and hexadecimal has a base 16. These are shortcuts for the binary numbers.

Both of these types have powers of two. If you want to convert the binary number 11011 to a hexadecimal, you would need to perform a set of steps in order to get 1b as your hexadecimal. #### marlenegalea

First conver 2C to binary then to decimal

so 2C=00101100 (binary)

= 1x2^5+1x2^3+1x2^2

=32+8+4

=44  