1Write these numbers in expanded form: 546, 6542, 1234, 45872, 258963, 97332.
2Express these numbers in powers of 2 and in powers of 5: 10, 25, 59, 402, 805, 932.
3Say which system each of these numbers is written in: \( 10011_2 \), 350, \( 1001_2 \), \( 42_5 \), 555, 77532, \( 10010011_2 \), 257903, \( 4023_5 \), 5321, \( 1234_5 \), \( 101011_2 \).
4Change these decimal numbers into the binary system: 4, 9, 12, 25, 35, 79, 94, 100, 104, 135, 190, 22, 250, 275, 366, 512, 530, 600.
5Change each of these binary numbers into the decimal system: \( 11_2 \), \( 101_2 \), \( 111_2 \), \( 1100_2 \), \( 10101_2 \), \( 11001_2 \), \( 10010_2 \), \( 11110_2 \), \( 100001_2 \), \( 111111_2 \), \( 1100011_2 \), \( 1110011_2 \), \( 1100110011_2 \), \( 1010101110_2 \), \( 100001000_2 \), \( 101110111_2 \), \( 11011011001_2 \), \( 1111111110_2 \).
6Change each of these decimal numbers into the quinary system: 9, 13, 21, 26, 45, 55, 86, 112, 194, 404, 497, 650, 1128, 1234, 2125, 2536, 3000, 3650.
7Change each of these quinary numbers into the decimal system: \( 21_5 \), \( 24_5 \), \( 34_5 \), \( 101_5 \), \( 123_5 \), \( 300_5 \), \( 343_5 \), \( 441_5 \), \( 2023_5 \), \( 1234_5 \), \( 2113_5 \), \( 3313_5 \), \( 2014_5 \), \( 4201_5 \), \( 4321_5 \), \( 12304_5 \), \( 10123_5 \), \( 21432_5 \).
8Change each quinary number below into binary and each binary number into quinary: \( 40_5 \), \( 10101_2 \), \( 31_5 \), \( 101_2 \), \( 144_5 \), \( 101110_2 \), \( 23_5 \), \( 111_5 \), \( 10011_2 \), \( 110111_2 \), \( 313_5 \).
9Which is greater, \( 1101_2 \) or \( 24_5 \), and what is the difference between them? In the same way, which is greater, \( 110011_2 \) or \( 144_5 \), and what is the difference?
10Why does the binary system use only 0 and 1, and why is 5 never written in the quinary system?
11Ram changed 45 into binary, got the remainders 1, 0, 1, 1, 0, 1 and read them from the top downwards to write \( 101101_2 \). Is his answer right? Give your reason.
12A class has \( 101100_2 \) students. Write this number in the quinary system.
13Write down any two whole numbers you like and show each of them changed into both the binary and the quinary system.