Question

Convert the base 10 numbers into base 2 by division method.

(1) 2

(2) 6

(3) 18

(4) 22

(5) 30

(6) 44

(7) 51

(8) 63

(9) 77

(10) 100

Answer 1

(1) 2

2	2	Remainder
	1	0

∴2₍₁₀₎ = 10₍₂₎

(2) 6

2	6	Remainder
2	3	0
	1	1

∴6₍₁₀₎ = 110₍₂₎

(3) 18

2	18	Remainder
2	9	0
2	4	1
2	2	0
	1	0

∴18₍₁₀₎ = 10010₍₂₎

(4) 22

2	22	Remainder
2	11	0
2	5	1
2	2	1
	1	0

∴22₍₁₀₎ = 10110₍₂₎

(5) 30

2	30	Remainder
2	15	0
2	7	1
2	3	1
	1	1

∴ 30₍₁₀₎ = 11110₍₂₎

6 (44)

2	44	Remainder
2	22	0
2	11	0
2	5	1
2	2	1
	1	0

∴44₍₁₀₎ = 101100₍₂₎

(7) 51

2	51	Remainder
2	25	1
2	12	1
2	6	0
2	3	0
	1	1

∴51₍₁₀₎ = 110011 ₍₂₎

(8)63

2	63	Remainder
2	31	1
2	15	1
2	7	1
2	3	1
	1	1

∴ 63₍₁₀₎ = 111111 ₍₂₎

(9) 77

2	77	Remainder
2	38	1
2	19	0
2	9	1
2	4	1
2	2	0
	1	0

∴ 77₍₁₀₎ = 1001101 ₍₂₎

(10) 100

2	100	Remainder
2	50	0
2	25	0
2	12	1
2	6	0
2	3	0
	1	1

∴ 100₍₁₀₎ = 1100100 ₍₂₎