1. Examples
1. (951)16 = ( ? )8
Solution: `(951)_16 = (underline{" "})_8`
First convert hexadecimal to binary `(951)_16 = (underline{" "})_2`
`:. (951)_16 = (underline{100101010001})_2`
Now convert binary to octal `(100101010001)_2 = (underline{" "})_8`
`:. (100101010001)_2 = (underline{4521})_8`
`:. (951)_16 = (underline{4521})_8`
2. (FC3A)16 = ( ? )8
Solution: `(FC3A)_16 = (underline{" "})_8`
First convert hexadecimal to binary `(FC3A)_16 = (underline{" "})_2`
F | C | 3 | A | 1111 | 1100 | 0011 | 1010 |
`:. (FC3A)_16 = (underline{1111110000111010})_2`
Now convert binary to octal `(1111110000111010)_2 = (underline{" "})_8`
001 | 111 | 110 | 000 | 111 | 010 | 1 | 7 | 6 | 0 | 7 | 2 |
`:. (1111110000111010)_2 = (underline{176072})_8`
`:. (FC3A)_16 = (underline{176072})_8`
This material is intended as a summary. Use your textbook for detail explanation. Any bug, improvement, feedback then
|