Logs and significant figures
... When making a measurement, always include all certain digits plus one uncertain digit. All of these digits are significant. The least significant digit is the only one with uncertainty. Addition and Subtraction When adding and subtracting, look at the uncertain digits in the numbers you are combinin ...
... When making a measurement, always include all certain digits plus one uncertain digit. All of these digits are significant. The least significant digit is the only one with uncertainty. Addition and Subtraction When adding and subtracting, look at the uncertain digits in the numbers you are combinin ...
Notes8
... However, the table for multiplication is a bit more interesting. There is obviously a row with all zeroes. But in each of the other rows, every value is there and there is no repeated value. This does not always happen; for example, if we wrote down the table for modulus 4, then we would see only ev ...
... However, the table for multiplication is a bit more interesting. There is obviously a row with all zeroes. But in each of the other rows, every value is there and there is no repeated value. This does not always happen; for example, if we wrote down the table for modulus 4, then we would see only ev ...
Base Conversions Handout
... The symbols of binary numbers are called bits instead of digits. 1. Each bit is an integer number from 0 to 1; a bit only has 2 possible values, 0 or 1. 2. Each bit is multiplied by a power of 2, depending on its bit position in the number. Binary numbers are used in digital logic because each bit o ...
... The symbols of binary numbers are called bits instead of digits. 1. Each bit is an integer number from 0 to 1; a bit only has 2 possible values, 0 or 1. 2. Each bit is multiplied by a power of 2, depending on its bit position in the number. Binary numbers are used in digital logic because each bit o ...
Solving Verbal Equations
... One number multiplied by the sum of two different numbers The product of three different numbers decreased by a fourth number A number subtracted from the product of two different numbers The difference between two numbers multplied by a third number. ...
... One number multiplied by the sum of two different numbers The product of three different numbers decreased by a fourth number A number subtracted from the product of two different numbers The difference between two numbers multplied by a third number. ...
Floating
... • With 8 bit exponent range would be –128 to 127 • Note: -1 would be 11111111 and with simple sorting would appear largest. • For this reason, we take the exponent, add 127 and represent this as unsigned. This is called bias 127. • Then exponent field 11111111 (255) would represent 255 - 127 = 128. ...
... • With 8 bit exponent range would be –128 to 127 • Note: -1 would be 11111111 and with simple sorting would appear largest. • For this reason, we take the exponent, add 127 and represent this as unsigned. This is called bias 127. • Then exponent field 11111111 (255) would represent 255 - 127 = 128. ...
Numbers in Computers
... the powers of some base, where the base is either 10, 2 or 16 in this course. For example, 19 = 1 * 101 + 9 * 100. How do you get the 1 and 9? You divide 19 by 10 repeatedly until the quotient is 0, same as binary! In fact, the dividing process is just an efficient way to get the coefficients. How d ...
... the powers of some base, where the base is either 10, 2 or 16 in this course. For example, 19 = 1 * 101 + 9 * 100. How do you get the 1 and 9? You divide 19 by 10 repeatedly until the quotient is 0, same as binary! In fact, the dividing process is just an efficient way to get the coefficients. How d ...
Decimal to binary conversion for fractional numbers
... never become zero; hence the number can be represented only approximately – what results out of the approximation is called round-off error). ...
... never become zero; hence the number can be represented only approximately – what results out of the approximation is called round-off error). ...
Arithmetic
Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, ""number"") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.