#hex value

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Let’s go through some basic queries pertaining to the hex calculator

What are the functions of the hexadecimal number system?

The hexadecimal number system is identical to the decimal and binary systems. It always uses the base on 16 instead of 10 or 2. Hex contains 16 digits, including 0-9 same as the decimal system but uses the letters A, B, C, D, E and F to represent the numbers 10-15. Four binary digits in the hex represent nibbles which represent the large binary numbers simpler. 

Example:

The binary value 1010101010 is represented as 2AA in hex. It helps computers to compress large binary values in a manner that can be converted between the two systems. Converting decimals and hex involves the place values of the different number systems. Converting decimal and hex is similar to converting between decimal and binary. Hex functions using the base of 16, which has the value of 2AA.

The first A represents the one place or 160

The second A represents the 161

The 2 represents 162

A in hex is equal to 10 in dec

How can you use the Hex calculator?

An Allcalculator.net’s  hex calculator makes the calculation faster and displays the arithmetic operations of hexadecimal numbers in binary and decimal form in a fraction of a second. 

Enter two hexadecimal numbers in the input field.

Now click the button, and convert to decimal and binary to get the conversion.

Finally, the conversion of hexadecimal numbers to decimal and binary numbers with its arithmetic operations are displayed in the output field.

What are the steps for the conversion from hex to decimal and decimal to hex?

To convert from hex to decimal, as shown:

Example:

2AA = (2 x 162) + (A x 161) + (A x 160)

= (2 x 256) + (10 x 16) + (10 x 1)

= 512 + 160 + 10

= 682

Convert from decimal to hex

Some of the following steps to convert from decimal to hex are listed below in order are:

Find the largest power of 16, which is less than or equal to the number to be converted. It will be referred to as X.

Determine how many times the power of 16 found in step 1 goes into X, and take note of that number.

Multiply the number found in the above step by the power of 16 and subtract this value from X. Y is referred to as the new value.

Repeat steps 1-3 using Y with the new starting value. Continue the process until 16 is larger than the remaining value. Assign the reminder to the 160 place value. 

Assign each of the values in each iteration of step 2 to its respective place value to determine the hex value.

               Example:

Convert decimal 1500 to hex

Largest power = 162 = 256

256 x 5 = 1280, so (5 x 162)

1500 – 1280 = 220

16 x 13 = 208, so (13 x 161)

220 – 208 = 12

16 is larger than 12, 12 is the value in the 160 place value

1500 = (5 x 162) + (13 x161) + (12 x 160)

10-15 have letter numerals where in hex 13=D, 12=C

The hex value of 1500 is 5DC

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