Unsigned Binary Numbers

Complement

A complement of an N-digit number is yields a sum of the operation. For example 5-3 = 2. If you use complement, 5+7 (complement of 3) = 12. The number 1 is a carry that will be ignored so the answer is 2.

Decimal Number

A number in base ten.

Binary Number

A number composed of just 0s and 1s, also known as a base-2 number. Each digit in a binary number is called a bit, short for binary digit.

Base two number system

A place value number system in which ten digits, 0 and 1, are used to represent a number.

Base ten number system

A place value number system in which ten digits, 0 through 9, are used to represent a number and the value of each place is 10 times the value of the place to its right; the value of any digit in the number is the product of that digit and its place value

Two's Complement

Invert every bit of the binary number and add 1 . Example: 0011 is +3. Invert all bits: 1100 and sum 1 1101 that it is -3

Signed-Magnitude Representation

It uses the left bit for the sign. 0 means the number is positive and 1 means the number is negative. Sign-magnitude representation is rarely used, because calculations involving negative numbers, such as 5-3, would require special circuits beyond and adder.

Overflow

Overflow occurs when the result of a binary operation is too large to fit in allowed number of bits. When adding two unsigned number, if the leftmost bit generates a carry bit, overflow has occured.

Signed Binary Number

The number that uses the leftmost bit to represent whether a number is positive or negative

Unsigned Binary Number

The numbers that represents just non-negatives values.