Binary Addition & Overflow | Binary Subtraction & Multiplication | Logical Shifts | Two's Complement

Get to know all about Binary addition, overflow error, binary subtraction, binary multiplication, logical shifts and two's complement, in this video.
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Binary addition is the operation of summing numbers in binary form. It works like a "normal" (decimal) addition, but the number can have only zeros and ones as digits, so if the sum exceeds 1, you must carry 1 to the next bit. Sometimes, when adding two binary numbers we can end up with an extra digit that doesn't fit. This is called an overflow error. The process of binary subtraction is the same as the arithmetic operation of subtraction that we do with numbers. Since only 0 and 1 are involved here, we may sometimes need to subtract 0 from 1. In such cases, we use the concept of borrowing as we do in an arithmetic subtraction. The binary multiplication is very much similar to the usual multiplication method of integers. First, we need to multiply each digit of one binary number to each digit of another binary number. And then add them all together to get the final result. In computer science, a logical shift is a bitwise operation that shifts all the bits of its operand. The two base variants are the logical left shift and the logical right shift. This is further modulated by the number of bit positions a given value shall be shifted, such as shift left by 1 or shift right by n. Two's complement is a mathematical operation to reversibly convert a positive binary number into a negative binary number with equivalent value, using the binary digit with the greatest place value to indicate whether the binary number is positive or negative.

0:00 Intro
0:30 Binary Addition
3:01 Overflow error
5:48 Binary Subtraction
8:08 Binary Multiplication
10:20 Logical Shifts
13:35 Two's complement
18:57 Outro

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