Question

Hi, i have problem with understand the following: positional number system, data representations, boolean logic. can any one help me?

Answer 1

positional number system: the method of denoting numbers by the use of a finite number of digits, each digit having its value multiplied by its place value, as in 936 = (9 ✕ 100) + (3 ✕ 10) + 6

data representations: The binary number system is the starting point for representing information.. The smallest unit of memory is a single bit, which holds a single binary digit. The next largest unit is a byte, now universally recognized to be eight bits (early systems used anywhere from six to eight bits per byte). A word is 32 bits long in most workstations and personal computers, and 64 bits in supercomputers...For example, the number 52 is represented in a 16-bit word by the pattern 0000000000110100.

Answer 2

In the binary system just substitute 2 for the base (rather than 10)

Answer 3

1101 would be\[2^{3}+2^{2}+(0)2^{1}+2^{0}=8+4+0+1=13\]

Answer 4

As for as boolean logic. the rules may help, where 1 is true and 0 is false.
1 and 1 is 1
1 and 0 is 0
1 or 1 =1
1 or 0 =1
0 or 1 =1