Question

what is the hexadecimal representation of this binary number
01100011110

Answer 1

To convert binary to hex, starting from the low-order bit (working right-to-left), split the binary digits into groups of four-bit nybbles (half-a-byte) and then translate each nybble to its hexadecimal equivalent. This works because there are only 16 possible nybbles and we can represent each with a single hex digit:

0000 = 0

0001 = 1

0010 = 2

0011 = 3

0100 = 4

0101 = 5

0110 = 6

0111 = 7

1000 = 8

1001 = 9

1010 = a

1011 = b

1100 = c

1101 = d

1110 = e

1111 = f

Thus, given the binary value 01100011110, we find there are 3 four-bit nybbles:

011 0001 1110

in this case, the high-order nybble has only 3 bits, but we always assume leading zeroes for any missing bits.

Translating these three nybbles to hexadecimal we get:

0011 = 3 0001 = 1 1110 = e

Thus 01100011110 binary is 31e hexadecimal, which is often written 0x31e.

Converting to octal is similar except we use groups of 3 bits with the following conversions:

000 = 0 001 = 1 010 = 2 011 = 3 100 = 4 101 = 5 110 = 6 111 = 7

Thus 01100011110 splits into 01 100 011 110 with the following translation:

001 = 1

100 = 4

011 = 3

110 = 6

Thus 01100011110 binary is 1436 octal which is often written 01436.

Binary to hexadecimal?

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

Answer 2

Answer:

Hexadecimal representation of this binary number 01100011110 = (31E)₁₆

Explanation:

Binary to Hexadecimal Conversion

A binary number can easily be converted into a hexadecimal number.

All you need to do is to make four-bit pairs of the binary number from the right to the left and then convert them into a hexadecimal number system.

The given binary number is: 0110001110

Let's break this number is four-bit pairs: 0011  0001  1110

I have added a zero in the beginning so that each group can have four bits.

Now let's convert:

0011 => This is equivalent to 3

0001 => This is equivalent to 1

1110 => This is equivalent to 14 but there is no 14 in hexadecimal. We represent it with E.

So our hexadecimal nubmer is 31E

#SPJ5