Answer:
A. 54₁₀
B. 81₁₀
Step-by-step explanation:
To convert from base 4 to base 10, we simply do the following:
A. 312₄ to base 10
312₄ = (3×4²) + (1×4¹) + (2×4⁰)
312₄ = (3×16) + (1×4) + (2×1)
312₄ = 48 + 4 + 2
312₄ = 54₁₀
Therefore, 312₄ is equivalent to 54₁₀.
B. 1101₄ to base 10
1101₄ = (1×4³) + (1×4²) + (0×4¹) + (1×4⁰)
1101₄ = (1×64) + (1×16) + (0×4) + (1×1)
1101₄ = 64 + 16 + 0 + 1
1101₄ = 81₁₀
Therefore, 1101₄ is equivalent to 81₁₀.
