How to convert hexadecimal to binary (2024)

FAQs

How do you convert hexadecimal to binary easily? ›

The binary number 10001101010001101111 can be written in hexadecimal as 8D17. The binary number 10001101010001101111 can be written in hexadecimal as 8D17.

Step 1: Convert Hex to decimal first: write down the Hex chart on a piece of paper. Flip Hex alphabet to decimal, F=15 and we have 9, therefore, we have 15 units in 16's place and we have 9 units in 1's place. Step 2: convert 249 decimal to binary next. Therefore, F9 Hex equal to 11111001 binary.

To convert integer to binary, start with the integer in question and divide it by 2 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero. Then just write out the remainders in the reverse order. Here is an example of such conversion using the integer 12.

Hexadecimal to Decimal Formula

Multiply each digit of the given number, starting from the rightmost digit, with the exponents of the base 16. The exponents should start with 0 and increase by 1 every time as we move from right to left. We just simplify each of the products and add them.

Simply divide the given binary number into the groups of 4. Add zeros to the left when there are not enough digits to form a group. Convert each group into the equivalent hexadecimal number using the following binary to hexadecimal table. This is a simple shortcut method.

Computers, on the lowest level read and manipulate binary representations. But this does not mean that they can't be programmed to manipulate octal,hex or even any other number base system. The choice of hexadecimal representation is taken because of human readability and ease of conversion.

Example − Convert binary number 1101010 into hexadecimal number. First convert this into decimal number: = (1101010)2 = 1x26+1x25+0x24+1x23+0x22+1x21+0x20 = 64+32+0+8+0+2+0 = (106)10 Then, convert it into hexadecimal number = (106)10 = 6x161+10x160 = (6A)16 which is answer.

The decimal number 11 is equivalent to the hexadecimal digit B, and the decimal number 5 is equivalent to the hexadecimal digit 5. Therefore, the hexadecimal equivalent of the binary number 10110101 is B5.

What is the binary equivalent of 11001001 to hexadecimal? ›

Consider the binary representation of 201_D: 11001001. For readability, instead of commas we use semicolons: 1100:1001. The hexadecimal equivalent of this number is C9.

Hexadecimal A = decimal 10, and hexadecimal F = decimal 15. Humans mostly use the decimal (base 10) system where each digit can have one of ten values between zero and ten. This is probably because humans have ten fingers on their hands.

In hex, four digits of a binary number can be represented by a single hex digit. Dividing a binary number into 4-bit sets means that each set can have a possible value of between 0000 and 1111, allowing 16 number combinations from 0 to 15. With the base value as 16, the maximum value of a digit is 15.

Hexadecimal is the base-16 number system, as opposed to the base 2 system (binary) and base 10 system (decimal). The prefix we use for hexadecimal is "0x". To represent the numbers 0-9, we simply use those digits. To represent 10-15, we use the letters A-F.

Shortcut Method - Hexadecimal to Binary

Step 1 − Convert each hexadecimal digit to a 4-digit binary number (the hexadecimal digits may be treated as decimal for this conversion). Step 2 − Combine all the resulting binary groups (of 4 digits each) into a single binary number.

Each group of 4 bits in binary is a single digit in the hexadecimal system. That makes it really easy to convert binary numbers to hexadecimal numbers, and it makes it a natural fit for computers to use as well.

Answer and Explanation:

The reason why it is easy to switch between the binary and the hexadecimal number systems Because binary is base 2, and hexadecimal is base 16, and 16 is the power of 2.

What is the hexadecimal to decimal formula? There's no specific formula for the conversion. To convert a hexadecimal number into decimal, multiply each digit with the corresponding power of 16 (starting from the rightmost digit multiplied by 16⁰). Finally add up the products.