1 / 13

Decimal

Decimal. 3, 4 6 7 10. 3 x 1000 = 3000 4 x 100 = 400 6 x 10 = 60 7 x 1 = 7 ------------------------ 3,467. Weight Positions. 10,000. 1,000. 100. 10. 1. 1 1 1 1 1.

daniel-kelley
Download Presentation

Decimal

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Decimal 3, 4 6 710 3 x 1000 = 3000 4 x 100 = 400 6 x 10 = 60 7 x 1 = 7 ------------------------ 3,467 Weight Positions 10,000 1,000 100 10 1 1 1 1 1 1 Decimal: Base 10 means 10 Unique numerical digits 0 1 2 3 4 5 6 7 8 9 etc.

  2. DecimalAddition +4 +5 +6 +7 start +1 +2 +3 0 1 2 3 4 5 6 7 8 9 Carry 1 3 + 5--------- 8 start +1 +2 +3 +4 +5 0 1 2 3 4 5 6 7 8 9 6 + 7--------- 13

  3. Binary Decimal: Base 2 means 2 Unique numerical digits 0 1 On Off In Out Left Right Decimal Weight Positions 32 16 8 4 2 1 etc. 1 1 1 1 1 1 1 0 1 1 0 12 1 x 32 = 32 0 x 16 = 0 1 x 8 = 8 1 x 4 = 4 0 x 2 = 0 1 x 1 = 1 ------------------------ 4510

  4. BinaryAddition 0+ 0------ 0 1+ 0------ 1 0+ 1------ 1 1 1 + 1 ------ 1 0with a 1 carry 1 1 1 1 Carry 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0

  5. Hexadecimal Decimal: Base 16 means 16 Unique numerical digits 0 1 2 3 4 5 6 7 8 9 A B C D E F Decimal Equivalents 0 = 0 1 = 1 2 = 2 3 = 3 4 = 4 5 = 5 6 = 6 7 = 7 8 = 8 9 = 9 A = 10 B = 11 C = 12 D = 13 E = 14 F = 15

  6. Hexadecimal Decimal Weight Positions 1,048,576 65,536 4,096 256 16 1 0-F 0-F 0-F 0-F 0-F 0-F A 3 9 D 6 C16 A = 10 X 1,048,576 = 10,485,760 + 3 = 3 X 65,536 = 196,608 + 9 = 9 X 4096 = 36,864 + D = 13 X 256 = 3,328 + 6 = 6 X 16 = 96 + C = 12 X 1 = 12 ------------------------------------------------------ 10,722,66810

  7. Hexadecimalto Binary It takes 4 bits to make one Hex number 0 = 0000 1 = 0001 2 = 0010 3 = 0011 4 = 0100 5 = 0101 6 = 0110 7 = 0111 8 = 1000 9 = 1001 A = 1010 B = 1011 C = 1100 D = 1101 E = 1110 F = 1111

  8. Octal Octal to Binary It takes 3 bits to make one Octal number 0 = 000 1 = 001 2 = 010 3 = 011 4 = 100 5 = 101 6 = 110 7 = 111 Decimal Equivalents 0 = 0 1 = 1 2 = 2 3 = 3 4 = 4 5 = 5 6 = 6 7 = 7 Decimal: Base 8 means 8 Unique numerical digits 0 1 2 3 4 5 6 7

  9. Octal Decimal Weight Positions 512 64 8 1 1 1 1 1 7 5 2 38 7 x 512 = 3,584 16 x 5 = 80 2 x 8 = 16 3 x 1 = 3 ------- 3,68310

  10. Decimal Weights 128 32 16 4 1 = 18110 1 0 1 1 0 1 0 1 Binary to Decimal Add the decimal weights of the “1” bits Decimal to Binary 1. Find the largest binary bit that will fit in the number without going over the number 2. Mark that bit as “on” and subtract the bit weight value from the decimal number 3. Repeat steps 1 and 2 until there are no more numbers remaining in the decimal number

  11. Hex to Binary Convert Hex to Binary C 5 9 B16 = 1100 0101 1001 10112 11000101100110112 Binary to Hex Divide bits into groups of 4 1. 11000101100110112 2. 1100 0101 1001 10112 3. C 5 9 B16

  12. Octal to Binary 1 4 2 6 3 38 001 100 010 110 011 0112 Binary to Octal Divide bits into groups of 3 1. 11000101100110112 2. 1 100 010 110 011 0112 3. 1 4 2 6 3 38

  13. Hex to Octal to Decimal Break the hex or octal or decimal number into binary 2048 512 256 128 8 2 1 1 0 1 1 1 0 0 0 1 0 1 1 Decimal: add the weights = 2,95510 Hexadecimal: divide the bits into patterns of 4 = B8B16 Octal: divide the bits into patterns of 3 = 56138

More Related