310 = 00112 510 = 01012 810 = 10002 1310 = 11012
23 can be represented in binary as 10111 and would therefore require 5 bits to represent.
binary system
Binary refers to a system which may have one of two states. In computer science the binary numbering system is used where stored and communicated values are represented by 0 and 1. A digital signaling system would be based on an underlying stream of binary numbers so in most cases the two would be used interchangeably. If "binary signaling" where to be taken literally however it would describe a signaling system which communicates two possible states. The flag on a mailbox is a binary communication system, when the flag is up it signals that mail is available for pickup, when it is down there is nothing in the mailbox.
45 in binary is 101101, so you need at least 6 bits to represent 45 characters.
To answer this question, we need to do a quick review of our numbering system. The standard numbers we know and love are usually called "base 10" numbers. Base 10 means that every tenth number adds a new significant digit. In the binary number system, numbers can be represented with a series of zeros and ones. For example: 0,1,2,3,4,5... (base 10 numbers) would be written as: 0,1,10,11,100... (binary numbers) Binary numbers are useful because they can be represented as 1 or 0, TRUE or FALSE or HIGH or LOW in computers (which have a harder time understanding base 10 in hardware). A bit can be thought of a single digit in a binary number.
10 digits.
with hexidecimal you neednt use as many chartictors to represent a number. in binary 15 would be 01111 where as in hex it would be E resulting in much quicker coding times
In order to answer that, it would first be necessary to know the numbers that "O", "K", and "A" represent.
Because if it were not, then the name of the system would have to be changed.
The numbers used in the binary number system are 1 and 0
It is the same number: 1. Binary numbers are base-2, with each digit place corresponding to an exponent of 2 rather than 10 in the decimal number system. So that the number 11, which in decimal means 10 + 1, would represent 2 + 1 (3) in the binary system, which can only have the value 0 or 1 in each digit place.
The binary number system (base 2) is the basis for computer math and operations. Computer circuitry can represent two states (On/Off, Positive Voltage/Negative Voltage, Magnetized North/Magnetized South, etc). Any engineering which deals with the internal workings of a computer, or transmitting data to/from a computer would need to represent the data in binary (base 2) number system.
1000.
The binary system of numbers is based on the numerals 1 and 0
Binary numbers have the virtue of being simple enough that they can be represented by a purely physical system, in which a magnetic north pole can represent (let us say) a 1, and a magnetic south pole can represent a 0, or a current being on can represent a 1 and the same current being off can represent a 0. In other words, the physical world contains analogs of binary systems. If you wanted to use decimal numbers you would have to find a physical system that has ten variables, which are relatively easy to measure and to create as needed, and that is not going to be easy.
It is 100000000 (which could also be represented as 01000 00000). In the binary number system, each digit represents an exponential value of 2, rather than of 10 in the decimal system. 256 would be the nine-digit binary number 100000000, where the digits represent 256, 128, 64, 32, 16, 8, 4, 2, and 1 100000000 = (1x256) + (0x128) + (0x64) + (0x32) + (0x16) + (0x8) + (0x4) + (0x2) + (0x1)
Binary is used for representing numbers in computer systems because it is the only numeric system that can be represented with on/off switches. Each of those states, on and off, can be used to represent a digit, one and zero respectively. If we used decimal storage, then it could only be represented in ways that are less efficient, or not technically feasible. For example, if we had a high-speed microswitch (equivalent to a transistor) that had ten different states, then we could use that, but there is no such thing. Alternatively, we could represent decimal using nine on/off switches per digit, each representing a value from one to nine, ensuring that no two of them would be simultaneously on. This though, is a waste of resources. Doing it that way, having eighteen on/off switches would represent a number from zero to 99. Using binary, the same number of on/off switches can represent a number from zero to 262143.