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Ever wonder what the real numbers are? Numbers are artificial things invented by human, and the same applied to computers. So, the inventors of computers storing human readable numbers (decimal, Roman numerals, etc...) as computer readable numbers (binary). Binary fit very well with the electrical pulses (on and off, as 1 and 0)
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∙ 15y agoBits is a more easier and helpfuller way to use and understand the system of computers and the space and memory of them.
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How many bits are required in decimal numbers in range 0 to 999 using Straight binary code and BCD code?
10 bits would be required. 10 bits long (10 digits long) can represent up to 1024.
If a decimal number has 25 digits then how many bits are required for binary representation?
If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.The largest decimal number with 25 digits is 9,999,999,999,999,999,999,999,999.The smallest decimal number in the form 2n-1 which is greater than or equal to that is 19,342,813,113,834,066,795,298,815. That corresponds to 284-1.So, the minimum number of binary bits required to represent the decimal number 25 nines in a row is 84. This is 84 ones in a row. If you want to support negative as well as positive numbers, you will need 85.Since the largest integer in most compilers is 64 bits, this will require a special library supporting 128 bits, or an arbitrary length decimal library, if you want to manipulate such large numbers in a computer and still retain the precision of an integer.
Why is it easier to convert numbers from binary to hexadecimal than decimal to hexadecimal?
A binary number system has two states '0' '1' for a long word in bits it can be as follows 101010101010101010101011 intimidating RIGHT? it can be represented in groups of 3 bits in octal 10/010/101/010/101/010/101/011= 22525253 digital or in group of 4 bits as 10/1010/1010/1010/1010/1010 = 2AAAAA 111 =7 octal 1111=f F in hexadecimal numbers 1000 =8 1010 =10 or A
Hypothetical decimal computer?
Hypothetical Decimal Computer A hypothetical computer is introduced, a decimal one which can operate also in four modes. The machine has 16 bit numbers, with the first bit as sign bit. The exponent is stored as a binary integer and the coefficient is stored as a sequence of decimal digits. In all modes the exponent base is 10. So in fact this computer is a multi-exponent computer with base 10. In listing the four modes are: Exponent coefficient Mode size bits size structureBCD 3 14-12 12 3 BCD-digits of 4 bits each DPD-1 5 14-10 10 3 digits in 10 bit DPD-code DPD-2 3 14-12 12 3 digits in 10 bit DPD-code preceded by one 'digit' of 2 bits PDE value=0, 1, 2 10+3 4 digits, 3 of them in 10 bit DPD-code and one combined with exponent field *****************************************************************Submitted by ADARSH.S.V.NAIR*******************************************************************
What is the 4-binary number assoiated with the hexadecimal symbol C?
0xc = 1100 Hexadecimal digits use exactly 4 binary digits (bits). The 0x0 to 0xf of hexadecimal map to 0000 to 1111 of binary. Thinking of the hexadecimal digits as decimal numbers, ie 0x0 to 0x9 are 0 to 9 and 0xa to 0xf are 10 to 15, helps with the conversion to binary: 0xc is 12 decimal which is 8 + 4 → 1100 in [4 bit] binary.
Is memory size written in KB?
It could be, but many modern computers have 8GB or more, that is 8 million KB!The amount of memory a given computer may have could be written in B, KB, MB, GB, etc. by using the appropriate binary-metric prefix.Examples:128B the internal RAM of a simple microcrontoller64KB the typical memory of an early 1980s microcomputer2.7MB the amount of memory required to save a photo12GB memory of a modern laptop computer256GB memory of a modern supercomputeretc.However prior to 1964 when IBM released their line of System 360 computers and defined the byte as being 8 bits, memory size was measured in many different units:words, used on "scientific" computers (most were binary, but a few were decimal). Typical word sizes varied from about 36 bits to 60 bits (on decimal computer words varied from about 10 digits to 18 digits) with memory sizes typically ranging from 1K words to 32K words.characters or digits, used on "business" computers. These systems were all decimal, characters were usually 6 bits + 1 parity bit (7 bits), digits were usually 4 bits + 1 parity bit (5 bits) with memory sizes typically ranging from 20K characters/digits to 100K characters/digits. Many business computers had variable "word" size.
What data does the computer record?
Computers record data in the form of "bits", Binary Digits.
How does BCD differ from the straight binary number system?
To consider the difference between straight binary and BCD, the binary numbers need to be split up into 4 binary digits (bits) starting from the units. In 4 bits there are 16 possible values from 0000 to 1111 (0 to 15). In straight binary all of these possible combinations are used, thus: 4 bits can represent the decimal numbers 0-15 8 bits can represent the decimal numbers 0-255 12 bits can represent the decimal numbers 0-4095 16 bits can represent the decimal numbers 0-65535 etc In arithmetic, all combinations of bits are used, thus: 0000 1001 + 0001 = 0000 1010 In BCD or Binary Coded Decimal, only the representations of the decimal numbers 0-9 are used (that is 0000 to 1001 in binary), and the 4-bits (nybbles) are read as decimal digits, thus: 4 bits can represent the decimal digits 0-9 8 bits can represent the decimal digits 0-99 12 bits can represent the decimal digits 0-999 16 bits can represent the decimal digits 0-9999 In arithmetic, only the representations of decimal numbers are used, thus: 0000 1001 + 0001 = 0001 0000 When BCD is used each half of a byte is read directly as a decimal digit. BCD is obviously inefficient as storage (for large numbers) as each nybble is only holding 3/8 of the possible numbers, however, it is sometimes easier and quicker to work with decimal digits (for example when there is lots of display of counting numbers to do there is less binary to decimal conversion needing to be done).
How does decimal value waste memory space?
A decimal digit requires 4 bits of memory space to represent all possible values. So N decimal digits will require 4N bits to store in decimal format. On the other hand, if the same N decimal digits were stored as a binary number, they should require log2(10N) bits, that is, about 3.32N bits. So storing the decimal representation uses about 20% more memory. To put it another way, 4 bits is capable of holding one of 16 different values. By using it to store decimal digits, it is only being used to hold one of 10 different values.
How many digits does 5 bit have?
5 bits are 5 binary digits. If they represent a decimal number, then that number can be anything from zero to 31, and can have either 1 or 2 digits.
Why are different number systems used in computers?
It turns out that using the binary system - base 2 - requires circuits that are extremely simple, compared to circuits that manage decimal (base 10) numbers. So, internally, computers do lots of stuff in binary. Octal and hexadecimal numbers are used as shorthand for binaries, to make them readable for humans. This is because on average, a number written in binary digits requires 3-4 times as many digits as a number in decimal. Each octal (base 8) number simply represents three bits (binary digits); while each hexadecimal (base 16) number represents 4 bits.
How many bionary digits does it take to create one byte?
"Byte" is defined as 8 bits.[Note, in certain historical computers, 1 byte = 9 bits. However, these computers haven't been manufactured in decades, so all current references to byte should be read as 8 bits]
Why is information stored in some kind of binary format in computers?
Information is stored in some kind of binary format in computers because computer memory is made out of binary digits (bits).
How compact was computers in the early 60s?
at that time the smallest ones were about the size of a desk and weighed 400 to 500 pounds.
How many bits are used in double precision floating point format number representation?
Depends on the format IEEE double precision floating point is 64 bits. But all sorts of other sizes have been used IBM 7094 double precision floating point was 72 bits CDC 6600 double precision floating point was 120 bits Sperry UNIVAC 1110 double precision floating point was 72 bits the DEC VAX had about half a dozen different floating point formats varying from 32 bits to 128 bits the IBM 1620 had floating point sizes from 4 decimal digits to 102 decimal digits (yes digits not bits).
What is the largest decimal value that can be represented in BCD using two bytes?
If using the compressed format, where a byte holds two decimal digits (because only 4 bits are needed to make nine), so two bytes would be four decimal digits, the largest which is 9999.
How many bits are required in decimal numbers in range 0 to 999 using Straight binary code and BCD code?
10 bits would be required. 10 bits long (10 digits long) can represent up to 1024.
