Binary.ppt
- 2. What Is Binary ? Binary is a language written with a combination of ones (1) and zeros (0) that computers use to carry out commands, inputs, or functions. Whatever you write onto a computer, a machine inside processes the input and converts it into binary. It's like using a translator!
- 3. Bytes and Bits In binary, we have bytes and bits which are major components in writing binary. Bit : a single 0 or 1 in a binary number 10100000 Byte: eight bits put together 10100000
- 4. Converting Binary to decimal Using a chart like this: compared to one like this: Everywhere there is a “0” that digit is “off” Everywhere there is a “1” that digit is “on” 0 0 0 0 0 0 1 1 27 26 25 24 23 22 21 20 128 64 32 16 8 4 2 1 0 0 0 1 1 104 103 102 101 100 10000 1000 100 10 1
- 5. An Example Every digit in a binary number represents a power of 2. For example if we were working with the binary number ‘00001101” we could convert it to decimal with that chart: 0 0 0 0 1 1 0 1 27 26 25 24 23 22 21 20 128 64 32 16 8 4 2 1 Off Off Off Off 8 + 4 + Off 1 =13
- 6. Converting Decimal to Binary Say we want to convert 23 to binary We would start with all digits in “off” position Next we find the largest power of two less than 23 and turn that “on”, or put a 1 there Now we would find the largest power of two less than 23-16 and repeat
- 7. 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 128 64 32 16 8 4 2 1 0 0 0 1 0 1 0 0 128 64 32 16 8 4 2 1 0 0 0 1 0 1 1 0 128 64 32 16 8 4 2 1 0 0 0 1 0 1 1 1 128 64 3 2 16 8 4 2 1 Converting 23 to binary: ● Start with all numbers “off” ● Find the biggest power of two less than 23 turn it on 23 - 16 = 7 ● Find the biggest power of two less than 7 turn it on 7 - 4 = 3 Find the biggest power of two less than 3 turn it on 3-2=1 Turn on 1
- 8. What is Hexadecimal? ❖ Similar to binary, but easier to understand. ❖ It uses sixteen different symbols, the numbers zero through nine, and the letters A through F. Each symbol represents four bits. For example: 7FFFD4
- 9. Uses of Hexadecimal ❖Represent colors ❖Saves memory, shorter than binary ❖Describes locations in a computer’s memory Compare: 1010000011100111110 vs. 5073E Click here for random color generator!
- 10. How to Convert Hexadecimal into Binary 123AE: 1 2 3 A E
- 11. How to Convert Hexadecimal into Binary 123AE: 1 2 3 A E 0001 0010 0011 1010 1110
- 12. How to Convert Hexadecimal into Binary 123AE: 1 2 3 A E 0001 0010 0011 1010 1110 74670