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Which of the following would be the correct result from the following expression?

123_(10)-12_(8)+101_(2)+D_(16)
(A) 130
(B) 133
(C) 131
(D) 132
(E) 136

Which of the following would be the correct result from the following expression? $\newline$ $123_{(10)}-12_{(8)}+101_{(2)}+D_{(16)}$ $\newline$ (A) $130$ $\newline$ (B) $133$ $\newline$ (C) $131$ $\newline$ (D) $132$ $\newline$ (E) $136$

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Sum of finite series starts from 1

Full solution

Q. Which of the following would be the correct result from the following expression?

\newline

123_{(10)}-12_{(8)}+101_{(2)}+D_{(16)}

\newline

(A)

130

\newline

(B)

133

\newline

(C)

131

\newline

(D)

132

\newline

(E)

136

Convert Decimal to Decimal: Convert $123_{(10)}$ from decimal to decimal, which is straightforward since it's already in base $10$ . Calculation: $123$ .
Convert Octal to Decimal: Convert $12$ _( $8$ ) from octal to decimal. Calculation: $1 \times 8^1 + 2 \times 8^0 = 8 + 2 = 10$ .
Convert Binary to Decimal: Convert $101$ _( $2$ ) from binary to decimal. Calculation: $1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 4 + 0 + 1 = 5$ .
Convert Hexadecimal to Decimal: Convert D_( $16$ ) from hexadecimal to decimal. Calculation: $D = 13$ in decimal.
Add Converted Values: Add all the converted values together. Calculation: $123 + 10 + 5 + 13 = 151$ .

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