So,

**3 hex digits**are not enough to represent the decimal numbers up to 20,000. The largest decimal value that can be represented by a 4-bit hex number is, Therefore, the number of hex digits required to represent decimal numbers up to 20,000 is .Keeping this in view, what is the decimal number 15 in hex?

Hexadecimal Numbers

Decimal Number | 4-bit Binary Number | Hexadecimal Number |
---|---|---|

13 | 1101 | D |

14 | 1110 | E |

15 | 1111 | F |

16 | 0001 0000 | 10 (1+0) |

What is the 0x in hex?

It's a prefix to indicate the number is in

**hexadecimal**rather than in some other base. The C programming language uses it to tell compiler. Example : 0x6400 translates to 6*16^3 + 4*16^2 + 0*16^1 +0*16^0 = 25600. When compiler reads 0x6400 , It understands the number is**hexadecimal**with the help of**0x**term.How many hexadecimal digits are in a binary digit?

This means that each digit in hexadecimal is the same as

**four digits**in binary. Octal uses a three-bit binary system. In the decimal system, the first digit is the one's place, the next digit to the left is the ten's place, the next is the hundred's place, etc. In hexadecimal, each digit can be**16**values, not 10.