HotelInfantesAgres - Bawat tanong, may sagot. Logo

In Technology and Home Economics / Elementary School | 2024-09-05

Convert the following binaryto decimal.1. 10102. 1010103. 11001004. 100110115. 1101​

Asked by meeyahsnewmail

Answer (1)

To convert binary numbers to decimal, you can use the following method: For example, to convert the binary number 1010 to decimal: 1. Write down the binary number: 10102. Multiply each digit by 2 raised to the power of its position from right to left (starting from 0).- 0 x 2^3 + 1 x 2^2 + 0 x 2^1 + 1 x 2^0- 0 + 4 + 0 + 13. Add the results: 0 + 4 + 0 + 1 = 5 Now, let's convert all the given binary numbers to decimal: 1. 1010: - 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 0 x 2^0- 8 + 0 + 2 + 0- 102. 101010: - 1 x 2^5 + 0 x 2^4 + 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 0 x 2^0- 32 + 0 + 8 + 0 + 2 + 0- 423. 1100100: - 1 x 2^6 + 1 x 2^5 + 0 x 2^4 + 0 x 2^3 + 1 x 2^2 + 0 x 2^1 + 0 x 2^0- 64 + 32 + 0 + 0 + 4 + 0 + 0- 1004. 10011011: - 1 x 2^7 + 0 x 2^6 + 0 x 2^5 + 1 x 2^4 + 1 x 2^3 + 0 x 2^2 + 1 x 2^1 + 1 x 2^0- 128 + 0 + 0 + 16 + 8 + 0 + 2 + 1- 1555. 1101: - 1 x 2^3 + 1 x 2^2 + 0 x 2^1 + 1 x 2^0- 8 + 4 + 0 + 1- 13

Answered by st4rntvr | 2024-09-05