AB16 < 101110102 101010112 < 2548 2548 < BD16 BD16 > 101110102

Рассмотрим каждое неравенство:

• AB₁₆ < 10111010₂

  AB₁₆ = 10 * 16¹ + 11 * 16⁰ = 160 + 11 = 171

  10111010₂ = 1 * 2⁷ + 0 * 2⁶ + 1 * 2⁵ + 1 * 2⁴ + 1 * 2³ + 0 * 2² + 1 * 2¹ + 0 * 2⁰ = 128 + 32 + 16 + 8 + 2 = 186

  171 < 186 – верно

• 10101011₂ < 254₈

  10101011₂ = 1 * 2⁷ + 0 * 2⁶ + 1 * 2⁵ + 0 * 2⁴ + 1 * 2³ + 0 * 2² + 1 * 2¹ + 1 * 2⁰ = 128 + 32 + 8 + 2 + 1 = 171

  254₈ = 2 * 8² + 5 * 8¹ + 4 * 8⁰ = 2 * 64 + 5 * 8 + 4 * 1 = 128 + 40 + 4 = 172

  171 < 172 – верно

• 254₈ < BD₁₆

  254₈ = 2 * 8² + 5 * 8¹ + 4 * 8⁰ = 128 + 40 + 4 = 172

  BD₁₆ = 11 * 16¹ + 13 * 16⁰ = 176 + 13 = 189

  172 < 189 – верно

• BD₁₆ > 10111010₂

  BD₁₆ = 11 * 16¹ + 13 * 16⁰ = 176 + 13 = 189

  10111010₂ = 1 * 2⁷ + 0 * 2⁶ + 1 * 2⁵ + 1 * 2⁴ + 1 * 2³ + 0 * 2² + 1 * 2¹ + 0 * 2⁰ = 128 + 32 + 16 + 8 + 2 = 186

  189 > 186 – верно