Question

what is the sum of the binary numbers 1101, 1110 and 1001​

Answer 1

• Answer:

1101₂ + 1110₂ + 1001₂ = 100100₂

• Step-by-step explanation:

1101₂ = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13₁₀

1110₂ = 1×2³  + 1×2² + 1×2¹ + 0×2⁰ = 8 +  4 + 2 =  14₁₀

1001₂ = 1×2³ + 0×2² + 0×2¹ + 1×2⁰ = 8 + 1 = 9₁₀

13 + 14 + 9 = 36

36₁₀ =

36 : 2 = 18 + r 0

18 : 2 = 9 + r 0

9 : 2 = 4 + r 1

4 : 2 = 2 + r 0

2 : 2 = 1 + r 0

1 : 2 = 0 + r 1  ↑

= 100100₂

Answer 2

Answer:

$\huge\boxed{1101_2+1110_2+1001_2=100100_2}$

Step-by-step explanation:

We know:

$0_2 + 0_2 = 0_2\\0_2 + 1_2 = 1_2\\1_2 + 1_2 = 10_2$

$\underline{+\begin{array}{ccc}_1\ \ \ \ \\1101\\1110\end{array}}\\.\ 11011\\\\\underline{+\begin{array}{ccc}_1\ \ _1_1 \ \\11011\\\ \ 1001\end{array}}\\.\ \ 100100$