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01011001 01100101 01100001 01110010 00100000 00111000 00100000 01000010 01101001 01101110 01100001 01110010 01111001 • LO1. To learn the purpose of binary • LO2. To recognise binary bits. • LO3. To convert decimal to binary and binary to decimal Starter LO1. To learn the purpose of binary LO2. To recognise binary bits. • Discuss – What is binary? LO3. To convert decimal to binary and binary to decimal Page 1 of your workbook Still confused. LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert decimal to binary and binary to decimal Computers are not human. They run on electricity, that means they have to use electricity to represent information. Electricity has two states ON or OFF. Electric Switch LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert decimal to binary and binary to decimal Think of a light switch. • It is either ON or OFF – ON = light on – OFF = light off On a computer the computer Saves the information as a single number. 1 = There is power 0 = There is no power Page 1 of your workbook bit of this bit of that!!! Computers save lots and lots of these 1 (ON) and 0 (OFF) numbers. We have to group them: one ON and OFF together are called a ‘bit’. This stands for binary digit Refresh. A bit is made up of a 1 and an 0 Grouping LO1. To learn the purpose of binary • If we have one bit we can have two values. 1 or 0 LO2. To recognise binary bits. • How many values can we have if we join two bits together. LO3. To convert decimal to binary and binary to decimal – – – – 00 01 10 11 • You can see that if we put two bits together we can pick 4 different values. • We can keep grouping bits to make more and more values Page 2 of your workbook • How many different values can be made 000 with 3 bits? 001 010 • extension.: 011 100 1 bit = 21 101 110 2 bit = 22 111 3 2 bit = 2 Extension: 4 2 bit = 2 25 = 32 values How many values can you have with 5 bits. Grouping further! LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert decimal to binary and binary to decimal • The smallest unit in binary is the bit. • Four bits together are called one nibble. • Eight bits are called one byte. • 1024 bytes are called one kilobyte (kb) • And there is more…….. Binary to decimal LO1. To learn the purpose of binary In decimal if we have the number 7 we can lay it out in a table: Each is a power of 10 LO2. To recognise binary bits. 1000 100s 10’s units 7 LO3. To convert decimal to binary and binary to decimal In binary we have a different table. Each is a power of 2. 128 64 32 16 8 4 2 1 0 0 0 0 0 1 1 1 Note: the is 8 bits which is a Byte Another Example The number 127 LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert decimal to binary and binary to decimal 1000 100s 10’s units 1 2 7 In binary 128 64 32 16 8 4 2 1 0 1 1 1 1 1 1 1 The number 255 1000 100s 10’s units 2 5 5 In binary 128 64 32 16 8 4 2 1 1 1 1 1 1 1 1 1 Pupils to pretend to be a Byte LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert decimal to binary and binary to decimal • Pupils to be given the signs. • Competition to see who can make the binary number first. • Teacher will say a number between 1-255 Binary to decimal In binary LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert binary to decimal 128 64 32 16 8 4 2 1 0 0 0 0 0 1 1 1 Changing binary to decimal. 0*128 + 0*64 + 0*32 + 0*16 + 0*8 + 1*4 + 1*2 + 1*1 = 7 128 64 32 16 8 4 2 1 0 1 1 0 0 0 0 1 Changing binary to decimal. 0*128 + 1*64 + 1*32 + 0*16 + 0*8 + 0*4 + 0*2 + 1*1 = 97 Activity. LO1. To learn the purpose of binary LO2. To recognise binary bits. LO3. To convert binary to decimal • Binary worksheet. • Work your way through the worksheet. • Don’t be afraid to ask the person next to you. Plenary Using your knowledge of binary. What does this mean. Pupils to explain what they think it means