Bases, Shifts and Conversions: Computer Science OCR: GCSE (9:1)

Binary

A base 2 number system in which all numbers are made from 2 digits (0-1), it can be processed by the computer's logic gates

Denary

The base 10 number system in which all numbers are made from 10 digits (0-9), also called decimal

Hexadecimal

The base 16 number system in which all numbers are made from 16 characters (0-9 and A-F)

Base

The number of digits used by a number system. This is 2 in binary and 10 in denary

2

Binary is the Base ___ number system

10

Denary is the Base ___ number system

16

Hexadecimal is the base ___ number system

Left shift

Moving the bits to the left. Multiplies a binary number by two.

Right Shift

An operation that divides the binary number by two by moving the bits to the right.

FF

Hexadecimal representation of denary number 255

1A

Find the hexadecimal representation of denary number 26

1111

4-bit binary representation of the hexadecimal digit F

1100

Find the 4-bit binary for denary number 12

1000 0000

Convert the decimal number 128 to binary

1111 1111

Binary representation of the largest number we can store in 1 byte

Most significant bit

The leftmost bit of a binary number, it's the column with the largest place value (128 in an 8-bit number)

Least significant bit

The furthest right bit in a binary number, in an integer it is the 1's column.

4

Left shift the binary number 0010 by 1 place and show the answer in denary

0011

Convert the denary number 12 to binary and then right shift 2 places

161

Convert A1 to denary