what is the Binary number of 564?
Answer (1)
Answer:To convert the decimal number 564 to binary, you divide the number by 2 and record the remainder, repeating the process with the quotient until the quotient is 0.Here are the steps:1. \( 564 \div 2 = 282 \) remainder 02. \( 282 \div 2 = 141 \) remainder 03. \( 141 \div 2 = 70 \) remainder 14. \( 70 \div 2 = 35 \) remainder 05. \( 35 \div 2 = 17 \) remainder 16. \( 17 \div 2 = 8 \) remainder 17. \( 8 \div 2 = 4 \) remainder 08. \( 4 \div 2 = 2 \) remainder 09. \( 2 \div 2 = 1 \) remainder 010. \( 1 \div 2 = 0 \) remainder 1Now, write the remainders in reverse order to get the binary number:\( 564_{10} = 1000110100_2
