B. DIRECTION: Convert the following binary digits to decimal number You can
choose the method that you want to use and show your solution. (3 points
urok pa
1.000111
2.101010
3.01100111
4.10111001
5.10001011

pahelp po kailangan na now​


Sagot :

Answer:

1. 7₁₀

2. 42₁₀

3. 103₁₀

4. 185₁₀

5. 139₁₀

step by step:

1. (000111)₂ = (0 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (7)₁₀

2. (101010)₂ = (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (0 × 2⁰) = (42)₁₀

3. (01100111)₂ = (0 × 2⁷) + (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (0 × 2³) + (1 × 2²) + (1 × 2¹) + (1 × 2⁰) = (103)₁₀

4. (10111001)₂ = (1 × 2⁷) + (0 × 2⁶) + (1 × 2⁵) + (1 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (185)₁₀

5. (10001011)₂ = (1 × 2⁷) + (0 × 2⁶) + (0 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = (139)₁₀