Binary to Hexadecimal Converter

Information on Number Conversion

A number system is a method of expressing numbers in a consistent manner using digits and numbers. There are different number system like, Decimal, Binary, Octal, Hexadecimal. These different number systems are used in different contexts.

Binary Number System

Binary number system is a base 2 number system. It uses only two digits, 0 and 1. The position of each digit in a binary number denotes the power of 2. The rightmost digit is the ones place, the next digit to the left is the twos place, the next digit to the left is the fours place, and so on.

An example of a binary number is
1011₂ = 1×2³ + 0×2² + 1×2¹ + 1×2⁰

Hexadecimal Number System

Hexadecimal number system is a base 16 number system. It uses 16 digits from 0 to 9 and A to F. The position of each digit in a hexadecimal number denotes the power of 16. The rightmost digit is the ones place, the next digit to the left is the sixteens place, the next digit to the left is the two hundred fifty-six place, and so on.

An example of a hexadecimal number is
1234₁₆ = 1×16³ + 2×16² + 3×16¹ + 4×16⁰

How to convert Binary to Hexadecimal?

To convert a binary number to hexadecimal, you can use the following steps:

Step 1: Write down the binary number.

Step 2: Group the binary digits into groups of four starting from the right.

Step 3: Write down the hexadecimal equivalent of each group of four binary digits.

Table of Binary to Hexadecimal Conversion

Example: Convert 1011 1101 0110₂ to (?)₁₆

Step 1: Write down the binary number: 1011 1101 0110₂

Step 2: Group the binary digits into groups of four starting from the right: 1011 1101 0110₂ = 1011 1101 0110₂

Step 3: Write down the hexadecimal equivalent of each group of four binary digits: 1011 = B, 1101 = D, 0110 = 6

Therefore, 1011 1101 0110₂ = B D 6₁₆

Example: Convert 1101 1010 1111 0110₂ to (?)₁₆

Step 1: Write down the binary number: 1101 1010 1111 0110₂

Step 2: Group the binary digits into groups of four starting from the right: 1101 1010 1111 0110₂ = 1101 1010 1111 0110₂

Step 3: Write down the hexadecimal equivalent of each group of four binary digits: 1101 = D, 1010 = A, 1111 = F, 0110 = 6

Therefore, 1101 1010 1111 0110₂ = D A F 6₁₆

Elaborate Table