Number Systems Flashcards

A number system that uses only two digits: 0 and 1. It is base-2 and used by computers to represent data.

The standard number system humans use, also known as base-10, which includes digits 0 to 9.

A number system that uses base-16, including digits 0-9 and letters A-F to represent values.

To convert binary to denary, multiply each binary digit by 2 raised to its position index (starting from 0 on the right) and sum the results.

To convert denary to binary, repeatedly divide the number by 2, recording the remainders, and read the remainders in reverse order.

Each hexadecimal digit is converted into a 4-bit binary equivalent (e.g., A = 1010).

Group binary digits into sets of 4 bits (starting from the right) and convert each group into its hexadecimal equivalent.

Add binary numbers bit by bit, carrying over when the sum exceeds 1 (e.g., 1+1=10).

Occurs in binary addition when the result exceeds the number of bits available to store it.

A left shift multiplies a binary number by powers of 2, while a right shift divides it by powers of 2.