Hexadecimal numbers
Answers are for parents and teachers.
1
Convert (1C3)₁₆ to decimal.
1×256 + 12×16 + 3 = 256 + 192 + 3 = 451.
2
Convert 500 to hexadecimal. Use capital letters.
500 ÷ 16 = 31 remainder 4; 31 ÷ 16 = 1 remainder 15 (F); 1 ÷ 16 = 0 remainder 1. The answer is 1F4.
3
Convert (2B)₁₆ to decimal.
2×16 + 11 = 43.
4
Convert 90 to hexadecimal.
90 ÷ 16 = 5 remainder 10 (A); 5 ÷ 16 = 0 remainder 5. The answer is 5A.
5
Find the decimal value of (2024)₁₆ and say why it is not 2024.
2×4096 + 0×256 + 2×16 + 4 = 8192 + 0 + 32 + 4 = 8228. The places are worth powers of 16, not of 10.