Question

convert octal to decimal number a)237 b) 115 with full explain for class 7th​

Answer 1

a)273=2*8^2+7*8^1+3*8^0

         =187

b)115=1*8^2+1*8^1+5*8^0

       =77

Answer 2

Answer:

$(a) \: \: \: 237_{(8)} \\ = (2 \times {8}^{2} ) + (3 \times {8}^{1}) + (7 \times {8}^{0}) \\ = (2 \times 64) + (3 \times 8) + (7 \times 1) \\ = 128 + 24 + 7 \\ = \underline{ \underline{159_{(10)}}} \\ \boxed{ \boxed{\large \bf 237_{(8)} = 159_{(10)}}} \\ \\ (b) \: \: \: 115_{(8)} \\ = (1 \times {8}^{2} ) + (1 \times {8}^{1} ) + (5 \times {8}^{0} ) \\ = (1 \times 64) + (1 \times 8) + (5 \times 1) \\ = 64 + 8 + 5 \\ = \underline{ \underline{77_{(10)}}} \\ \boxed{ \boxed{\large \bf 115_{(8)} = 77_{(10)}}}$