# A 16-digit binary pattern converts to a ____ digit hexadecimal value

In hex-system when we get to F it is denoted as the 15 decimal.

## Answer: A 16-digit binary pattern converts to a 4 digit hexadecimal value.

Start from the least significant bit (LSB) at the right of the binary number and divide it up into groups of 4 digits.

**Explanation:**

__Hexadecimal Numbering System__

The hexadecimal numbering system(or the base 16 number system) is used in computer coding for representing a byte or word of data. Hexadecimal uses 16 different numerals. They are- 0,1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.

So as to convert a binary number to a hexadecimal value, we need to divide the binary number into groups of 4 digits, where we can add 0 if necessary. As the given number is a 16 digit binary number, so when chunks in 4 digit groups, it will form 4 groups. Each group will represent a single digit in hexadecimal code.

### So, a 16-digit binary pattern converts to a 4 digit hexadecimal value.

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