(a) The content of memory equivalent of this content ocativ, reads 10100111 . What is the decimal (b) Convert the he decimal .nber A7 to binary (2mks) (c) Give two benefits inr ising the memory of a computer system (2mks) (2mks) (2mks)

(a) To convert the binary number 10100111 to decimal, we can use the positional notation of binary numbers. Starting from the rightmost digit, each digit represents a power of 2, with the rightmost digit representing 2^0, the next digit representing 2^1, and so on.<br /><br />In this case, the binary number 10100111 can be expanded as follows:<br /><br />1 * 2^7 + 0 * 2^6 + 1 * 2^5 + 0 * 2^4 + 0 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0<br /><br />Calculating the powers of 2:<br /><br />1 * 128 + 0 * 64 + 1 * 32 + 0 * 16 + 0 * 8 + 1 * 4 + 1 * 2 + 1 * 1<br /><br />Adding up the values:<br /><br />128 + 0 + 32 + 0 + 0 + 4 + 2 + 1 = 167<br /><br />Therefore, the decimal equivalent of the binary number 10100111 is 167.<br /><br />(b) To convert the decimal number A7 to binary, we need to divide the decimal number by 2 repeatedly and record the remainders.<br /><br />A7 is equivalent to 167 in decimal.<br /><br />167 ÷ 2 = 83 remainder 1<br />83 ÷ 2 = 41 remainder 1<br />41 ÷ 2 = 20 remainder 1<br />20 ÷ 2 = 10 remainder 0<br />10 ÷ 2 = 5 remainder 0<br />5 ÷ 2 = 2 remainder 1<br />2 ÷ 2 = 1 remainder 0<br />1 ÷ 2 = 0 remainder 1<br /><br />Reading the remainders from bottom to top, we get the binary representation of 167 as 10100111.<br /><br />(c) Two benefits of increasing the memory of a computer system are:<br /><br />1. Increased storage capacity: By increasing the memory of a computer system, you can store more data and files. This allows for greater storage of information, such as documents, images, videos, and programs. With more memory, you can store larger files and have more space for multitasking.<br /><br />2. Improved performance: Increasing the memory of a computer system can improve its overall performance. More memory allows the computer to handle more tasks simultaneously and run applications more efficiently. It enables the computer to load and run multiple programs at the same time without slowing down, leading to a smoother and faster computing experience.