Binary To Hexadecimal Converter

2
16

Converting steps:

How to convert binary to hexadecimal?

To convert binary to hexadecimal, group the binary digits into sets of four, convert each group to its hexadecimal value, and combine the results. This works because 24 = 16, so one hexadecimal digit maps to four binary digits.

Binary to Hexadecimal Conversion

An example of binary number to hexadecimal number conversion:


Convert (1111010.1001111)2 to hexadecimal.

Binary= 1 0 1 0 0 1 1 1 . 1 0 0 1 1 1 1 0
Chunk= ________ ________ . ________ ________
Arrows= ↓ ↓   ↓ ↓
Hexadecimal= A 7 . 9 E

Result is: (A7.9E)16

Note: Use groups of four binary digits. Add leading zeros to the left of the whole-number part or trailing zeros to the right of the fractional part when a group is incomplete.

Where binary to hexadecimal is used

Hexadecimal is a compact way to display binary data. Developers use it in memory addresses, color values, byte sequences, network examples, and debugging output because four binary digits can be written as one hexadecimal digit. This converter is useful when you want the shorter form but still need to understand the bit grouping.

Quick checking tips

  • Group whole-number binary digits from right to left.
  • Group fractional binary digits from left to right after the point.
  • Pad incomplete groups with zeros only for grouping; do not change the actual value.
  • Remember that hexadecimal digits can include A, B, C, D, E, and F.

Binary to Hexadecimal conversion table:

Binary Hexadecimal
0 0
1 1
10 2
11 3
100 4
101 5
110 6
111 7
1000 8
1001 9
1010 A
1011 B
1100 C
1101 D
1110 E
1111 F

Binary to hexadecimal guide

Binary to hexadecimal conversion uses groups of four bits. Each 4-bit group becomes one hex digit, using 0 to 9 and A to F.

Best uses

  • Make long binary values easier to read.
  • Work with colors, memory addresses, masks, and programming examples.
  • Check base-2 to base-16 homework.

Quality checks

  • Group bits from right to left before the point.
  • Pad the first group with leading zeros only if needed.
  • Use A, B, C, D, E, and F for decimal values 10 through 15.

Common mistakes

  • Using three-bit groups, which are for octal.
  • Forgetting that A means 10 and F means 15.
  • Changing the order of bit groups while converting.

Quick answers

Why does 1111 become F?

1111 in binary equals 15 in decimal, and 15 is written as F in hexadecimal.

Is hex shorter than binary?

Yes. One hex digit represents four binary bits, so hex is much more compact.