Answer:
(110110001.01)₂ + (27.12)₁₀ + (121.25)₁₆ – (130.20)₁₆ = (445.38953125)₁₀ = (1BD.63B851EB851EB851EB85)₁₆
Step-by-step explanation:
(110110001.01)₂ + (27.12)₁₀ + (121.25)₁₆ – (130.20)₁₆
leaving the answer in hexadecimal
To solve this, we first convert all the numbers to base 10, solve, then convert back to hexadecimal
(110110001.01)₂ = (1×2⁸) + (1×2⁷) + (0×2⁶) + (1×2⁵) + (1×2⁴) + (0×2³) + (0×2²) + (0×2¹) + (1×2⁰) + (0×2⁻¹) + (1×2⁻²) = (433.25)₁₀
(27.12)₁₀ = (27.12)₁₀
(121.25)₁₆ = (1×16²) + (2×16¹) + (1×16⁰) + (2×16⁻¹) + (5×16⁻²) = (289.14453125)₁₀
(130.20)₁₆ = (1×16²) + (3×16¹) + (0×16⁰) + (2×16⁻¹) + (0×16⁻²) = (304.125)₁₀
(110110001.01)₂ + (27.12)₁₀ + (121.25)₁₆ – (130.20)₁₆
= (433.25)₁₀ + (27.12)₁₀ + (289.14453125)₁₀ - (304.125)₁₀
= (445.38953125)₁₀
We then convert (445.38953125)₁₀ back to hexadecimal
(445.38953125)₁₀ = (1BD.63B851EB851EB851EB85)₁₆
16 | 445 | R
16 | 27 | 13 = D
16 | 1 | 11 = B
16 | 0 | 1 = 1
Read upwards, 1BD
Hope this Helps!!!