What Is The Highest Decimal Value A Byte Can Represent (2023)

FAQs

What Is The Highest Decimal Value A Byte Can Represent? ›

Answer and Explanation:

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. But this is usually overcome by using larger words.

The database server uses one byte of disk storage to store two digits of a decimal number, plus an additional byte to store the exponent and sign, with the first byte representing a sign bit and a 7-bit exponent in excess-65 format. The rest of the bytes express the mantissa as base-100 digits.

Because of these length restrictions, the highest decimal value that can be assigned to a 2-byte binary field is 9999 and the highest decimal value that can be assigned to a 4-byte binary field is 999 999 999. In general, a binary field of n digits can have a maximum value of n 9s.

So as you can see, you can store bigger values than 9 in one byte. In an unsigned 8-bit number, you can actually store values from 00000000 to 11111111 , which is 255 in decimal. In a 2-byte number, this range becomes from 00000000 00000000 to 11111111 11111111 which happens to be 65535.

The range of DECIMAL type is -10^38 +1 through 10^38 –1. The largest value is represented by DECIMAL(38, 0) . The most precise fractional value (between 0 and 1, or 0 and -1) is represented by DECIMAL(38, 38) , with 38 digits to the right of the decimal point. The value closest to 0 would be .

What is the highest decimal value we can represent with a byte? 255. There are 256 values in a byte, from the decimal number 0 to 255.

byte: The byte data type is an 8-bit signed two's complement integer. It has a minimum value of -128 and a maximum value of 127 (inclusive). The byte data type can be useful for saving memory in large arrays, where the memory savings actually matters.

A byte has only 8 bits. A bit is a binary digit. So a byte can hold 2 (binary) ^ 8 numbers ranging from 0 to 2^8-1 = 255. It's the same as asking why a 3 digit decimal number can represent values 0 through 999, which is answered in the same manner (10^3 - 1).

A byte can represent 256 distinct values. Two bytes can represent 65536 distinct values.

How much is a byte in decimal? ›

In contrast, a decimal digit corresponds to log₂(10) = 3.322 bits and a byte is 2.408 decimal digits. Clearly hexadecimal is better suited to the task of representing binary numbers than is decimal. As an example, the 16 bit number 0CA3₁₆ = 0000 1100 1010 0011₂ (0000₂ = 0₁₆, 1100₂ = C₁₆ , 1010₂ = A₁₆, 0011₂ = 3 ₁₆).

Values for DECIMAL columns are stored using a binary format that packs nine decimal digits into 4 bytes.

To convert binary to decimal, each binary digit is multiplied by 2 raised to the power of its position. With 10 binary digits, the maximum decimal number that can be represented is 1023.

2 bytes would be 4 decimal digits and you could represent values between 0 up to 10000 (not included).

In practice, we can use as many or as few bits as we need, just like we do with decimal. For example, with 5 bits, the place values would be 16, 8, 4, 2 and 1, so the largest value is 11111 in binary, or 31 in decimal.

Floating point numbers are stored in four or eight bytes. Internally, eight byte numbers are rounded to 15 decimal digits.

Answers: The base 2 binary number 10101010 is equal to the base 10 decimal number 170.

1 byte = 8 bits = 2⁸ = 256 values

A byte could look as follows: 00111001. If you imagine the bit as a binary letter, then a byte is the smallest possible word. It takes 1 byte to represent an actual letter or number.