1 / 9

List the characters (digits) for the following bases. 1) Decimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

List the characters (digits) for the following bases. 1) Decimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 2) Octal: 0, 1, 2, 3, 4, 5, 6, 7 3) Binary: 0, 1 4) Hexadecimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. What base(s) could these numbers represent? (circle those that apply)

salma
Download Presentation

List the characters (digits) for the following bases. 1) Decimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

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. List the characters (digits) for the following bases. 1) Decimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 2) Octal: 0, 1, 2, 3, 4, 5, 6, 7 3) Binary: 0, 1 4) Hexadecimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F What base(s) could these numbers represent? (circle those that apply) 5) 4 3 6 7 5 Decimal Octal Binary Hexadecimal 6) 1 7 C 2 D Decimal Octal Binary Hexadecimal 7) 1 0 1 1 1 0 0 1 0 Decimal Octal Binary Hexadecimal 8) 6 1 7 2 8 5 Decimal Octal Binary Hexadecimal 40 40 40 40 40 40 40 40 10 10 What base(s) do these numbers represent? (circle those that apply) 9) 4 3 6 9 510Decimal Octal Binary Hexadecimal 10) 1 7 C 2 D16 Decimal Octal Binary Hexadecimal 11) 1 0 1 1 1 0 0 1 02 Decimal Octal Binary Hexadecimal 12) 6 1 7 2 4 58 Decimal Octal Binary Hexadecimal Add these decimal numbers. (show work) 13) 1 7 9 4 8 2 7 3 ------------- 1 8 2 2 1 14) 1 5 6 8 342 4 6 7 5 ----------6 5 8 5

  2. 11 1 1 1 1 0 1 1 0 1 11 0 1 1 1--------------- ----1 0 0 0 11 1 Carry 1 11---10 10 1---11 1 Carry 1 Add these binary numbers. (show work) 15) 1 0 1 1 0 1 1 0 1 1 ------------- 10 1 2 11 0 1 1 0 1 1 1 0 1 1 1--------------- ----0 10 0 Carry 1 11 1 1 0 1 1 0 1 0 1 0 1 1 1--------------- ----0 0 10 0 Carry 1 3 11 1 1 1 0 1 1 0 1 1 1 0 1 1 0--------------- ----0 0 0 10 0 Carry 1 4 5 6 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 --------------- ----1 10 0 0 1 No Carry 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 --------------- ----1 1 10 0 0 1 No Carry

  3. 1 2 3 12 6 6 75 3 4 1--------- 0 1 12 6 6 7 6 5 3 4 1 4 --------- --- 0 13 1 1 12 6 6 7 6 5 3 4 1 3 --------- --- 3 0 12 4 5 1 1 1 12 6 6 7 2 5 3 4 1 5 --------- --- 2 3 0 10 1 1 1 1 2 6 6 7 5 3 4 1 ------------1 0 2 3 0 Add these octal numbers. 16) 2 6 6 7 5 3 4 1 ---------- 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 20 21 etc.

  4. Add these hexadecimal numbers. 17) 2 A 3 4 5 3 F 6 ---------- 0 1 2 3 4 5 6 7 8 9 A B C D E F 0 1 2 3 4 5 6 7 8 9 A B C D E F 10 11 12 13 14 etc. 1 2 3 1 2 A 3 4 35 3 F 6 F---------- -- 2 A 12 2 A 3 4 45 3 F 6 6---------- -- A 2 A 3 4 35 3 F 6 F---------- -- A 12 4 6 5 1 12 A 3 4 A5 3 F 6 3---------- -- 2 A E 1 2 A 3 4 25 3 F 6 5---------- -- E 2 A 7 1 2 A 3 45 3 F 6 ---------- 7 E 2 A

  5. Convert this decimal number to binary. 18) 4 3 2 7 7 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 32768 8192 2048 512 128 32 16 8 4 2 1 Positional weight values 65536 16384 4096 1024 256 64 4 3 2 7 7 (remaining number)- 3 2 7 6 8 (largest number not exceeding remainder - 43277) ------------ (mark this bit as ‘on’ = ‘1’) 1 0 5 0 9 (new remaining number) Skip 16384 because it is too large to go into 1 0 5 0 9 (remaining number)Mark position as ‘off’ = ‘0’ 1 0 5 0 9 (remaining number) - 8 1 9 2 (largest number not exceeding remainder - 10509) ------------ (mark this bit as ‘on’ = ‘1’) 2 3 1 7 (new remaining number) Skip 4096 because it is too large to go into 2317 (remaining number)Mark position as ‘off’ = ‘0’ 2 3 1 7 (remaining number) - 2 0 4 8 (largest number not exceeding remainder - 2317) ------------ (mark this bit as ‘on’ = ‘1’) 2 6 9 (new remaining number) Skip 1024 because it is too large to go into 269 (remaining number)Mark position as ‘off’ = ‘0’ Skip 512 because it is too large to go into 269 (remaining number)Mark position as ‘off’ = ‘0’

  6. 2 6 9 (remaining number) - 2 5 6 (largest number not exceeding remainder - 269) ------------ (mark this bit as ‘on’ = ‘1’) 1 3 (new remaining number) Skip 128 because it is too large to go into 13 (remaining number)Mark position as ‘off’ = ‘0’ Skip 64 because it is too large to go into 13 (remaining number)Mark position as ‘off’ = ‘0’ Skip 32 because it is too large to go into 13 (remaining number)Mark position as ‘off’ = ‘0’ Skip 16 because it is too large to go into 13 (remaining number)Mark position as ‘off’ = ‘0’ 1 3 (remaining number) - 8 (largest number not exceeding remainder - 13) ------------ (mark this bit as ‘on’ = ‘1’) 5 (new remaining number) 5 (remaining number) - 4 (largest number not exceeding remainder - 5) ------------ (mark this bit as ‘on’ = ‘1’) 1 (new remaining number) Skip 2 because it is too large to go into 1 (remaining number)Mark position as ‘off’ = ‘0’ 1 (remaining number) - 1 (largest number not exceeding remainder - 1) ------------ (mark this bit as ‘on’ = ‘1’) 0 (new remaining number) Process Completed

  7. Convert this binary number to decimal. 19) 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 32768 8192 2048 512 128 32 16 8 4 2 1 16384 4096 1024 256 64 Positional weight values Add the values of the bits that are ‘on’ = ‘1’ 3 2 7 6 8 8 1 9 22 0 4 82 5 6841----------4 3 2 7 7

  8. Convert this binary number to octal. 20) 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 • Separate bits into groups of three (3) • Determine octal number 0 0001 0012 0103 0114 1005 1016 1107 111 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 1 2 4 4 1 5

  9. Convert this binary number to hexadecimal. 21) 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 • Separate bits into groups of four (4) • Determine hex number 0 00001 00012 00103 00114 01005 01016 01107 01118 10009 1001A 1010B 1011C 1100D 1101E 1110F 1111 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 A 9 0 D

More Related