Binary Subtraction and 2's Complement Methods

A number system that uses only two digits, 0 and 1, to represent any number.

A single digit (0 or 1) in a binary number.

A binary number represented using four digits.

Converting a binary sequence into its equivalent decimal value.

The pattern of 0s and 1s that forms a binary number while counting.

A binary system using 'n' digits to represent values.

The relationship between the number of bits and the maximum decimal value representable.

The approach of converting a binary number to its decimal equivalent by calculating the sum of powers of two.

Subtracting binary numbers involves borrowing from higher-order bits when a smaller bit is subtracted from a larger bit.

Multiplying binary numbers using the rules: 0 x 0 = 0; 1 x 1 = 1 ; and all other scenarios equal 0.

Multiplying by aligning multiplicand and multiplier, and then adding partial products in Binary multiplication.

Each product of a multiplicand with a bit of the multiplier to get the final result in binary multiplication

The number being multiplied in binary multiplication.

The number used to multiply the multiplicand in Binary multiplication.

The right-most bit in binary numbers.

The base of the octal number system, which is 8.

The symbols used in the octal number system: 0, 1, 2, 3, 4, 5, 6, and 7.

An octal number is one-third the length of its binary equivalent because each octal digit represents a group of three binary digits.

Octal is a concise way to represent large binary numbers, making it useful in computer systems.

Octal is used in computer systems for representing data, addresses, instructions, and other information.

A method for subtracting binary numbers using addition instead, by representing negative numbers as their 2's complements.

Binary numbers that represent magnitudes without sign (positive values only).

The method of representing negative binary numbers by inverting all bits and adding 1.

The most significant bit (leftmost bit) in a binary number.

Subtracting two binary numbers using the 2's complement.

The result of a subtraction that is a positive number in the true binary form.

The result of a subtraction that is a negative number in the true binary form.

Discarding the carry when converting a number using 2's complement.

A carry from the most significant bit (MSB) is added to the least significant bit (LSB) in the result of 1's complement subtraction.

If the MSB (most significant bit) of the result of 1's complement subtraction is 0, the result is positive and is already in true binary form.

If the MSB of the result is 1, the result is negative. Find the 1's complement and apply a minus sign to the result

To obtain the 1's complement of a binary number, each 1 is changed to 0 and each 0 is changed to 1.

The fixed number of bits a computer uses to represent a number in memory.

Numbers that use more than one computer word to represent the number, allowing much larger range of values to be represented, compared to single precision.

The number from which another number (the subtrahend) is subtracted in a subtraction process.

Converting an octal number to its equivalent binary representation by replacing each octal digit with its 3-bit binary equivalent.

Converting a binary number to its equivalent octal representation by grouping binary digits into sets of three, starting from the binary point, and replacing each group with its corresponding octal digit.

A number system with base 8, using digits 0-7.

The decimal equivalent of 10 in octal is 8.

The binary equivalent of 5 in octal is 101.

The octal equivalent of 110101 binary is 65.

To convert 367.52 octal to binary, replace each octal digit with its 3-bit binary equivalent: 011 110 111 . 101 010, which results in 011110111.1010102.

To convert 10101111001.0111 binary to octal, group the digits into threes (101 011 110 01. 011 100), then convert each group to its octal equivalent, resulting in 5361.348.