6. Выполнить деление.

а) 10100100000₂ : 10000₂ = 1010010₂;

_10100100000	10000
10000	1010010
_10010
10000
_10000
10000
0

Проверка:

10100100000₂ = 1 × 2¹⁰ + 1 × 2⁸ + 1 × 2⁵ =1024 + 256 + 32 = 1312₁₀

10000₂ = 1 × 2⁴ = 16₁₀

1010010₂ = 1 × 2⁶ + 1 × 2⁴ + 1 × 2¹ = 64 + 16 + 2 = 82₁₀

1312₁₀ : 16₁₀ = 82₁₀

б) 2756₈ : 26₈ = 105₈;

_2756	26
26	105
_156
156
0

Проверка:

2756₈ = 2 × 8³ + 7 × 8² + 5 × 8¹ + 6 × 8⁰ = 1024 + 448 + 40 + 6 = 1518₁₀

26₈ = 2 × 8¹ + 6 × 8⁰ = 16 + 6 = 22₁₀

105₈= 1 × 8² + 5 × 8⁰ = 64 + 5 = 69₁₀

1518₁₀ : 22₁₀ = 69₁₀

в) D63(16) : 17(16);

_ D63	17
CF	95
_73
73
0

Проверка:

D63₁₆ = 13 × 16² + 6 × 16¹ + 3 × 16⁰ = 3328 + 96 + 3 = 3427₁₀

17₁₆ = 1 × 16¹ +7 × 16⁰ = 16 + 7 = 23₁₀

95₁₆= 9 × 16¹ + 5 × 16⁰ = 144 + 5 = 149₁₀

3427₁₀ : 23₁₀ = 149₁₀