Explain how an integer can be represented using BCD?
65,535
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.
The name BCD doesn't stand for anything according to Bernd Rittinger, BCD Travel Director of Operations.
Oh, dude, the largest BCD encoded decimal value that can be represented in three bytes is 999,999. I mean, like, you could totally fit a lot of numbers in three bytes, but that's the biggest BCD number you can squeeze in there. So, yeah, if you ever need to store a really big decimal number in three bytes, just remember 999,999.
Well, darling, BCD in BCD Travel stands for "Bismarck Car Dealership." Just kidding! It actually stands for "Bureau of Consular Affairs." So next time you're booking a trip with BCD Travel, just remember it's not about cars or German history, it's all about consular affairs.
65,535
explain decimal to BCD encoder
explain decimal to BCD encoder
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.
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.
A BCD (Binary-Coded Decimal) Adder operates by adding two BCD digits (each represented by four bits) and producing a sum that also needs to be in BCD format. When the raw binary sum exceeds 9 (1001 in binary), a correction is applied by adding 6 (0110 in binary) to the result, which adjusts it back into the valid BCD range. The carry from this addition is then used to account for any overflow into the next higher decimal place. This process ensures that the output remains a valid BCD representation after the addition.
999,999
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.
BCD can be converted into 7segment display by using an encoder.
DAA (Decimal Adjust for Addition) is used following a normal ADD, when it is known that the input data represented BCD (Binary Coded Decimal). It compensates for the half byte carry that might occur because the BCD format is not the same as the binary format.
Binary is a base-2 numeral system that uses only two digits, 0 and 1, to represent values. Binary-Coded Decimal (BCD), on the other hand, is a form of binary encoding where each decimal digit is represented by its own group of four binary bits. For example, the decimal number 25 in binary is represented as 11001, while in BCD, it is represented as 0010 0101 (for 2 and 5). BCD is often used in digital displays and calculators to ensure accurate decimal representation.
The BCD (Binary-Coded Decimal) is referred to as the 8421 code because it uses a specific binary representation where each decimal digit is encoded using four bits, with weights assigned to each bit in the order of 8, 4, 2, and 1. For instance, the decimal digit '5' is represented in BCD as 0101, which corresponds to 08 + 14 + 02 + 11 = 5. This weighted system allows for straightforward conversion between decimal and binary formats while ensuring each decimal digit can be distinctly represented.