Solve $(1001000)_{2} + (11100)_{2}$

(100)_{10}

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(90)_{10}

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(1011010)_{2}

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(1100100)_{2}

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Solution

The correct options are
A $(100)_{10}$
D $(1100100)_{2}$
in binary addition we follow these rules of addition
$0 + 0 = 0$
$0 + 1 = 1$
$1 + 0 = 1$
$1 + 1 = 10$ (which is 0 carry 1)
By applying this

1 0 0 1 0 0 0
+ 1 1 1 0 0
------------------
1 1 0 0 1 0 0
Converting this number in decimal

64 32 16 8 4 2 1
1 1 0 0 1 0 0
64 32 0 0 4 0 0
Number in decimal will be $64 + 32 + 0 + 0 + 4 + 0 + 0 = 100$
So correct answer will be option A and D

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Similar questions

(11100)_{2} = (1001)_{x}

7386 + 3333 - . . . . . . . . . . . . . = 10010

lim x \to \infty \frac{{(x + 1)}^{10} + {(x + 2)}^{10} + . . . . {(x + 100)}^{10}}{x^{10} + 10^{10}}

(11100)_{2} = (1001)_{x}

lim x \to \infty \frac{(x + 1)^{10} + (x + 2)^{10} + \dots . . + (x + 100)^{10}}{x^{10} + 10^{10}}

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