Hexadecimal System GCSE Resources

GCSE Computer Science: Hexadecimal System

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Frequently Asked Questions

How do you convert a binary number to a hexadecimal number?

o convert a binary number to a hexadecimal number, you first group the binary digits into sets of four, starting from the rightmost digit. If the leftmost group has fewer than four digits, you can add leading zeros to make it a complete group of four. Then, you convert each group of four binary digits to its corresponding hexadecimal symbol.

How do you convert a hexadecimal number to a binary number?

To convert a hexadecimal number to a binary number, you simply convert each hexadecimal digit to its corresponding four-digit binary sequence, using the above table. For example, the hexadecimal number A7 can be converted to the binary number 10100111.

How do you perform hexadecimal addition?

To perform hexadecimal addition, you add the digits in each column from right to left, just like in decimal or binary addition. If the sum of the digits in a column is less than 16, you write that sum in the result. If the sum is equal to or greater than 16, you write the remainder (which is between 0 and 15) in the result and carry over a 1 to the next column.

How do you perform hexadecimal subtraction?

To perform hexadecimal subtraction, you use the same method as hexadecimal addition, but with some differences. Instead of adding the digits, you subtract the rightmost digit of the second number from the rightmost digit of the first number. If the first number is smaller than the second number, you borrow a 16 from the next column to the left. You then repeat this process for the rest of the digits, subtracting any borrowed digits from the next column.

How do you represent memory addresses in hexadecimal?

In computer science, memory addresses are often represented in hexadecimal, since memory is typically addressed in terms of bytes. Each byte of memory can be represented by two hexadecimal digits, so a memory address in hexadecimal typically consists of multiple pairs of digits. For example, the memory address 0x1000 might represent the first byte of memory in a computer system. The "0x" prefix is often used to indicate that the number is a hexadecimal value.