Давайте проверим каждое равенство, чтобы найти верные:
1. $$5B_{16} = 1011011_2$$
* $$5_{16} = 0101_2$$
* $$B_{16} = 11_{10} = 1011_2$$
* $$5B_{16} = 01011011_2 = 1011011_2$$ - Верно
2. $$D3_{16} = 11000011_2$$
* $$D_{16} = 13_{10} = 1101_2$$
* $$3_{16} = 0011_2$$
* $$D3_{16} = 11010011_2
eq 11000011_2$$ - Неверно
3. $$7E_{16} = 1111110_2$$
* $$7_{16} = 0111_2$$
* $$E_{16} = 14_{10} = 1110_2$$
* $$7E_{16} = 01111110_2 = 1111110_2$$ - Верно
4. $$13_{16} = 1101_2$$
* $$1_{16} = 0001_2$$
* $$3_{16} = 0011_2$$
* $$13_{16} = 00010011_2
eq 1101_2$$ - Неверно
5. $$A9_{16} = 10101001_2$$
* $$A_{16} = 10_{10} = 1010_2$$
* $$9_{16} = 1001_2$$
* $$A9_{16} = 10101001_2$$ - Верно
6. $$14_{16} = 10100_2$$
* $$1_{16} = 0001_2$$
* $$4_{16} = 0100_2$$
* $$14_{16} = 00010100_2
eq 10100_2$$ - Неверно
Таким образом, верные равенства: $$5B_{16} = 1011011_2$$, $$7E_{16} = 1111110_2$$ и $$A9_{16} = 10101001_2$$.
Ответ: $$5B_{16} = 1011011_2$$, $$7E_{16} = 1111110_2$$, $$A9_{16} = 10101001_2$$