Question

The question is in the attachment.
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Answer 1

Answer:

• (10101010)₂ = (1 × 2⁷) + (0 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = (170)₁₀
• (11101100)₂ = (1 × 2⁷) + (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (0 × 2¹) + (0 × 2⁰) = (236)₁₀
• (10000001)₂ = (1 × 2⁷) + (0 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (129)₁₀
• (10001111)₂ = (1 × 2⁷) + (0 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (143)₁₀

Answer 2

a)1x2⁷ + 0x2⁶ + 1x2⁵+ 0x2⁴+ 1x2³ + 0x2²+ 1x2¹+ 0x2⁰

= 128 + 0 + 32 + 0 + 8 + 0 + 2 + 0 = 170.

b) 1x2⁷+ 1x2⁶+ 1x2⁵+ 0x2⁴+ 1x2³+ 1x2²+ 0x2¹+ 0x2⁰

= 128 + 64 + 32 + 0 + 8 + 4 + 0 + 0 = 236.

c) 1x2⁷+ 0x2⁶ + 0x2⁵+ 0x2⁴ + 0x2³ + 0x2² + 0x2¹+ 1x2⁰

= 128 + 0 + 0 + 0 + 0 + 0 + 0 + 1 = 129.

d) 1x2⁷ + 0x2⁶ + 0x2⁵ + 0x2⁴ + 1x2³+ 1x2² + 1x2¹+ 1x2⁰

= 128 + 0 + 0 + 0 + 8 + 4 + 2 + 1 = 143.

Omg this took me so long coz i was using calculator for adding. Hope it's correct