BCD is a decimal number. BCD is one specific way to store decimal numbers in computer memory.
In Binary-Coded Decimal (BCD), each decimal digit is represented by its own four-bit binary equivalent. Since the highest decimal digit is 9, the highest number in BCD corresponds to the decimal number 9, which is represented in BCD as 1001. Thus, the highest BCD representation for a single digit is 1001. For multiple digits, the highest number would be 999, represented in BCD as 1001 1001 1001.
The advantage of encoding a decimal number in Binary-Coded Decimal (BCD) compared to straight binary is that BCD allows for easier human readability and manipulation of decimal numbers. Each decimal digit is represented by its own binary sequence, making it straightforward to convert between decimal and BCD without complex calculations. This is particularly useful in applications such as digital displays and calculators, where decimal output is required. Additionally, BCD can simplify certain arithmetic operations involving decimal numbers.
Binary-Coded Decimal (BCD) is considered a weighted code because each digit in a decimal number is represented by its own binary equivalent, with each position having a specific weight based on its decimal place. In BCD, the weights are assigned as powers of two, corresponding to the decimal digits (0-9), allowing for straightforward conversion between the two systems. This structure enables easy decimal calculations and human readability, making BCD suitable for applications like calculators and digital displays.
To represent the decimal number 47 in Binary-Coded Decimal (BCD), you first separate the digits: 4 and 7. In BCD, each digit is represented by its 4-bit binary equivalent. Therefore, 4 is represented as 0100 and 7 as 0111. Combining these, 47 in BCD is expressed as 0100 0111.
1111 can't be used for Binary Coded Decimal (BCD) because 1111=15 which is made of 2 digits 1 and 5. In BCD a 4-digit binary number is used for every decimal digit. ex. 1111 is incorrect 1 = 0001 5 = 0101 Answer: 0001 0101
BCD of 862 is 100001100010
41 in decimal is 0100 0001 in BCD (this is 8 bits not 6 bits)41 in decimal is 101001 in binary (this is 6 bits, but binary not BCD)There is no 6 bit BCD representation of the decimal number 41!
BCD is used for binary output on devices that only display decimal numbers.
11010010
In BCD each digit of a decimal number is coded as a separate 4 bit binary number between 0 and 9.For example:Decimal 12 in BCD is shown as 0001 0010 (Binary 1 and Binary 2), in Binary it is 1100.
explain decimal to BCD encoder
A: A BCD code must be decoded to provide a seven digit output to the 7 bars display that is the only way to see the binary number visually.
BCD (Binary Coded Decimal) output can be generated using decimal-to-BCD conversion algorithms. One common method involves dividing the decimal number by 10 and storing the remainder as the Binary Coded Decimal digit. This process is repeated until all decimal digits are converted into BCD form. Alternatively, some microcontrollers have built-in instructions to directly convert decimal numbers to BCD format.
explain decimal to BCD encoder
A 4 BCD code is a 4 decimal-digit BCD code, thus a 16 digit binary-code. You take the decimal number 3545. It's BCD code is 0011 0101 0100 0101 where every 4 bits represent a decimal digit.
The decimal number 10, represented in BCD is 0001 0000. If, instead, you mean that you have 10 in BCD and want to know what that means, that is equivalent to 0000 0010 and would be 2 in decimal.
It is 0001 0110 0011.