# Candidates should be able to:

## Presentation on theme: "Candidates should be able to:"— Presentation transcript:

Candidates should be able to:
Convert positive denary whole numbers (0-255) into 8-bit binary numbers and vice versa Add two 8-bit binary integers and explain overflow errors which may occur Convert positive denary whole numbers (0-255) into 2-digit hexadecimal numbers and vice versa. Convert between binary and Hex equivalents of the same number Explain the use of Hex numbers to represent binary numbers

Hexadecimal Numbers Hexadecimal is the name given to numbers using base 16 Decimal numbers 10 – 15 are represented using letter A – F 16 values so base 16

Hexadecimal Used in computing as it is a much shorter way of representing a byte of data. Binary data = 8 digits, Hexadecimal data = 2 digits E.G = FF Largest byte value is 255 and hexadecimal can represent up to that number

Binary to Hexadecimal HEX is used to express binary numbers in a more compact form HEX numbers run from Zero to F (15 decimal) 15 decimal = 1111 (nibble) = F (Hex)

11011110 = DE (Hex) Binary to Hexadecimal
Example 1 – as Hex number Split number into 2 nibbles (1101…..1110) Convert number to decimal 1101 = 13 1110 = 14 Convert number to Hex 13 = D 14 = E = DE (Hex)

1110 0011 (E3 in binary) Hexadecimal to Binary
Example 1 – E3 as binary number Take 1st Hex digit – convert to binary nibble 3 Hex = 3 decimal = 0011 binary Take 2nd hex digit – convert to binary nibble E Hex = 15 decimal = 1110 binary Put the 2 nibbles together (E3 in binary)

Example 1 – 55 as Hex number Put headings etc Write out binary number (55) Split into 2 nibbles: 0011…0111 0011 = 3 0111 = 7 55 = 37 (Hex)

Example 2 – 17 as Hex number Put headings etc Write out binary number (17) Split into 2 nibbles: 0001…0001 0001 = 1 17 = 11 (Hex)

Have a go at these OR – MUCH HARDER
OR – MUCH HARDER

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