Question

1100101 and 111010 binary addition​

Answer 1

Answer:

1200101

Step-by-step explanation:

1 1 0 0 1 0 1

+ 1 1 1 0 10

---------------------

1200101

Answer 2

$\Large {\underline { \sf \orange{Explication \: Of \: Steps :}}}$

$\begin{gathered} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large\sf{1100101} \\ \: \: \: \: \: \: \: \: \: + \: \: \: \: \: \: \large \sf{111010} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \overline{ \large \sf \red {10011111}}} \end{gathered}$

$\longrightarrow \bf { (1100101)_2 + (111010)_2 = \red{ (111010)_2 }}$

$\Large {\underline { \sf \orange{Clarification :}}}$

In order to understand binary addition, just take a look at the table given below :

$\boxed{ \begin{array}{c |c|c|c } \: \underline{ \sf{ \: a \: } }& \underline{ \sf{ \: b \: } }& \underline{ \sf{ \: a + b = \red{sum} \: } }& \underline{ \sf{ \:carry \: } } \\ \\ \sf {0}&\sf {0}&\sf {0}&\sf {0} \\ \\ \sf {0}&\sf {1}&\sf {1}&\sf {0} \\ \\ \sf {1}&\sf {0}&\sf {1}&\sf {0} \\ \\ \sf {1}&\sf {1}&\sf {0}&\sf {1}\end{array}}$

Similarly,

• $\longrightarrow \bf { (1100101)_2 + (111010)_2 }$

From right to left $\sf { ( \longleftarrow)}$ :-

→ 1 + 0 = 1 (Carry 0)

→ 0 + 1 = 1 (Carry 0)

→ 1 + 0 = 1 (Carry 0)

→ 0 + 1 = 1 (Carry 0)

→ 0 + 1 = 1 (Carry 0)

→ 1 + 1 = 0 (Carry 1)

→ 1 + 1(Carry) = 0 (Carry 1)

→ 1 (Carry) = 1

Therefore, we get that :

$\longrightarrow \bf { (1100101)_2 + (111010)_2 = \red{ (111010)_2 }}$

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$\Large {\underline { \sf \orange{Know \: More !}}}$

• Binary is a number system having 2 as its base.
• It represents numeric values using two characters, 0 and 1.

[In computer science, base is defined as number of digits in the number system.]

Some other number systems :

• Decimal number system
• Octal number system
• Hexadecimal number system