DBpedia – Linked Data Fragments

Matches in DBpedia 2016-04 for { ?s ?p "Excess-3 or 3-Excess binary code (often abbreviated as XS-3 or X3) or Stibitz code (after George Stibitz) is a complementary BCD code and numeral system. It also constitutes a biased representation. Excess-3 was used on some older computers as well as in cash registers and hand held portable electronic calculators of the 1970s, among other uses. It is a way to represent values with a balanced number of positive and negative numbers using a pre-specified number N as a biasing value. It is a nonweighted code. In XS-3, numbers are represented as decimal digits, and each digit is represented by four bits as the digit value plus 3 (the \"excess\" amount): The smallest binary number represents the smallest value. (i.e. 0 − Excess Value) The greatest binary number represents the largest value. (i.e. 2 N+1 − Excess Value − 1)To encode a number such as 127, then, one simply encodes each of the decimal digits as above, giving (0100, 0101, 1010).Adding Excess-3 works on a different algorithm than non-biased decimal coding or regular binary positional system numbers. When you add two XS-3 numbers together, the result is not an XS-3 number. For instance, when you add 1 and 0 in XS-3 the answer seems to be 4 instead of 1. In order to correct this problem, when you are finished adding each digit, you have to remove the extra bias by subtracting binary 0011 (decimal 3 in unbiased binary) if the resulting digit is less than decimal 10 and subtracting binary 1101 (decimal 13 in unbiased binary), if an overflow has occurred. Note that, in 4-bit binary, subtracting binary 1101 is equivalent to adding 0011 and vice versa."@en }

• Excess-3 abstract "Excess-3 or 3-Excess binary code (often abbreviated as XS-3 or X3) or Stibitz code (after George Stibitz) is a complementary BCD code and numeral system. It also constitutes a biased representation. Excess-3 was used on some older computers as well as in cash registers and hand held portable electronic calculators of the 1970s, among other uses. It is a way to represent values with a balanced number of positive and negative numbers using a pre-specified number N as a biasing value. It is a nonweighted code. In XS-3, numbers are represented as decimal digits, and each digit is represented by four bits as the digit value plus 3 (the \"excess\" amount): The smallest binary number represents the smallest value. (i.e. 0 − Excess Value) The greatest binary number represents the largest value. (i.e. 2 N+1 − Excess Value − 1)To encode a number such as 127, then, one simply encodes each of the decimal digits as above, giving (0100, 0101, 1010).Adding Excess-3 works on a different algorithm than non-biased decimal coding or regular binary positional system numbers. When you add two XS-3 numbers together, the result is not an XS-3 number. For instance, when you add 1 and 0 in XS-3 the answer seems to be 4 instead of 1. In order to correct this problem, when you are finished adding each digit, you have to remove the extra bias by subtracting binary 0011 (decimal 3 in unbiased binary) if the resulting digit is less than decimal 10 and subtracting binary 1101 (decimal 13 in unbiased binary), if an overflow has occurred. Note that, in 4-bit binary, subtracting binary 1101 is equivalent to adding 0011 and vice versa.".