1.1 - Number Systems

Why does data have to be converted to binary to be processed by a computer?

Data has to be converted to binary to be processed by a computer because computers are built using switches that can either be on or off, which fits the binary number system (1/0).

define binary number system

The binary number system is a base-2 number system that represents numbers using only two digits: 0 and 1.

Define denary

Denary is a base-10 number system made up of 10 digits (0-9)..

define hexadecimal

Hexadecimal is a number system with 16 digits.

convert the following number from binary to denary : 01110001

answer : 113

convert the following number from binary to denary : 10010000

answer :144

convert 76 to binary

answer : 10011000

convert 150 to binary

answer : 10010110

Convert denary 45 to hexadecimal.

answer : 2D

convert denary 2004 into hexadecimal

answer - 7D4

convert hexadecimal 45A to denary

answer : 1114

convert hexadecimal C8F to denary

answer : 3215

convert binary 10111111100001 into hexadecimal

answer : BE1

convert binary 10000111111101 to hexadecimal

answer : 21FD

convert hexadecimal 45A to binary

answer : 010001011010

convert hexadecimal BF08 to binary

answer : 1011111100001000

uses of hexadecimal in error codes

error codes are often shown as hexadecimal values. these numbers often refer to the memory location of the error.

uses of hexadecimal in MAC addresses

It is a number which uniquely identifies a device on a network

Refers to the NIC (Network Interface Card) which is part of the device

use of hexadecimal in HTML color codes

It is used when writing or developing web pages

It is often used to represent text colors on the computer screen. All colors can be made up of combinations of the three primary colors (red, green and blue). The intensity of each color is determined by its hexadecimal value.