Two students have developed a protocol in which they send 4-bit messages to each other. They decide to modify their protocol to start sending 8-bit messages instead. How many more values can be represented in an 8-bit message than a 4-bit message? 8 bits is enough to
represent 256 different numbers
.
How many numbers can be represented with an 8 bit system?
8 bits, can represent positive numbers from
0 to 255
.
How many more values can be created when going from 1 to 2 bits?
A single bit allows only two value-combinations, two bits combined can make
four separate values
, three bits for eight, and so on, increasing with the formula 2^n. The amount of possible combinations doubles with each binary digit added as illustrated in Table 2.
How many unique values can a 4 bit binary number represent?
With 4 bits, it is possible to create
16 different values
. All single-digit hexadecimal numbers can be written with four bits.
What is the best explanation for why digital data is represented in binary?
What is the best explanation for why digital data is represented in computers in binary?
The binary number system is the only system flexible enough to allow for representing data other than numbers.
What is the highest value I can count to using 4 bits?
With 4 bits, the maximum possible number is
binary 1111 or decimal 15
. The maximum decimal number that can be represented with 1 byte is 255 or 11111111. An 8-bit word greatly restricts the range of numbers that can be accommodated.
What’s the smallest decimal number that you can represent with 3 bits?
The smallest decimal number that you can represent with three bits is either
0 or -4
.
What are the 16 4-bit numbers?
| Decimal Number 4-bit Binary Number Hexadecimal Number | 13 1101 D | 14 1110 E | 15 1111 F | 16 0001 0000 10 (1+0) |
|---|
What is the biggest number 1 bit can represent?
The maximum decimal number that can be represented with 1 byte is
255 or 11111111
.
What are the binary numbers from 1 to 100?
| No. Binary Number | 97 1100001 | 98 1100010 | 99 1100011 | 100 1100100 |
|---|
What is a period in binary code?
| Character Name Char Binary | Comma , 00101100 | Hyphen / Minus Sign – 00101101 | Period . 00101110 | Forward Slash / 00101111 |
|---|
Can all data be represented in binary?
Everything on a computer is
represented as streams of binary numbers
. Audio, images and characters all look like binary numbers in machine code. These numbers are encoded in different data formats to give them meaning, eg the 8-bit pattern 01000001 could be the number 65, the character ‘A’, or a colour in an image.
How do you do flippy?
Flip Cup starts by the first people on each team chugging their beer, placing their empty cup back on the edge of the table, and using their
fingers to flip the cup completely upside down
.
What’s the largest decimal number that you can represent with 5 bits?
2^n – 1 represents the largest unsigned value. 2^5 – 1 =
31
. Remember, the largest unsigned value occurs when all 5 bits are 1’s (11111 = 31) 8.
What is an 8 bit word?
A byte
is eight bits, a word is 2 bytes (16 bits), a doubleword is 4 bytes (32 bits), and a quadword is 8 bytes (64 bits).
What is the largest hexadecimal number that can be held in one word?
The number
4,294,967,295
, equivalent to the hexadecimal value FFFF,FFFF
16
, is the maximum value for a 32-bit unsigned integer in computing.
