0
For unsigned maximum negative is 0.
For signed maximum negative is -128.
The answer depends on how a negative number is represented in binary. Different computers can do this differently. It also affects the maximum value of positive numbers.
An 8 bit number can have 256 combinations of 0's and 1's so it can represent 256 different values. We have different conventions for interpreting them. These conventions are built into the hardware and software of the machine.
Without recognizing negative numbers, the 256 values represent the number 0-255.
If we use signed magnitude representation, a single bit is used to determine if the number is positive or negative. The other 7 bits represent the value. 7 bits represent 127 values and a signed magnitude can have the values 0-127 as well as negative 0 to negative 127. Note that you can have both +0 and -0.
- 0 (00000000) becomes -0 (10000000),
- 5 (00000101) becomes -5 (10000101).
In 1's complement notation a number is reversed by flipping all the bits of the positive number.
- 0 (00000000) becomes -0 (11111111),
- 5 (00000101) becomes -5 (11111010).
The most commonly use method in use on machines today is called 2's complement. A number is reversed by flipping all the bits and adding one: as follows:
- 1 (00000001) -> 11111110 +1 = 11111111 = -1
- -1 (11111111) -> 00000000 +1 = 00000001 = 1
- 5 (00000101) -> 11111010 +1 = 11111011 = -5
- 126 (01111110) -> 10000001 +1 = 10000010 = -126
- 127 (01111111) -> 10000000 +1 = 10000001 = -127
- -127 (10000001) -> 01111110 +1 = 01111111 = 127
- -128 (10000000) -> 01111111 +1 = 10000000 = -128 (there is no positive equivalent here of 128)
- 0 (00000000) -> 11111111 +1 = 1 00000000 = -1 (the one that is carried at the end does not fit into the 8 bit number and is lost. This is called overflow and is not regarded as an error.
The largest negative number here is -128
What else can I help you with?
What is the maximum number represents by 10 bit signed binary digits?
+511
What is the highest decimal number that can be represented by eight binary digits using two's compliment?
Since you mention two's complement, we have to assume that you are dealing with positive and negative numbers which means that the highest order bit is the sign bit. So the maximum positive number would be hex 7F which is equivalent to 127 and the maximum negative number would be -128
How do you calculate 2s complement of any binary number?
To calculate the 2's complement of a binary number, first, invert all the bits (change 0s to 1s and 1s to 0s), which is known as finding the 1's complement. Then, add 1 to the least significant bit (LSB) of the inverted binary number. The result is the 2's complement, which represents the negative of the original binary number in signed binary representation.
How do you convert graycode to binary?
Converting Gray Code to Binary1). Write down the number in gray code.2). The most significant bit of the binary number is the most significant bitof the gray code.3). Add (using modulo 2) the next significant bit of the binary number to thenext significant bit of the gray coded number to obtain the next binary bit.4). Repeat step 3 till all bits of the gray coded number have been added inmodulo 2. The resultant number is the binary equivalent of the gray number.Converting Binary to Gray Code1). Write down the number in binary code.2). The most significant bit of the gray number is the most significant bitof the binary code.3). Add (using modulo 2) the next significant bit of the binary number to thenext significant bit of the binary number to obtain the next gray coded bit.4). Repeat step 3 till all bits of the binary coded number have been added inmodulo 2. The resultant number is the gray coded equivalent of the binarynumber.
What is the weight of MSB of a 5-bit binary number?
The weight of the Most Significant Bit (MSB) in a 5-bit binary number is 16. In binary representation, each bit position corresponds to a power of 2, starting from the right with 2^0. Therefore, the MSB, which is the leftmost bit in a 5-bit number, represents 2^4 or 16 in decimal.
What is the maximum number represents by 10 bit signed binary digits?
+511
What is the highest decimal number that can be represented by eight binary digits using two's compliment?
Since you mention two's complement, we have to assume that you are dealing with positive and negative numbers which means that the highest order bit is the sign bit. So the maximum positive number would be hex 7F which is equivalent to 127 and the maximum negative number would be -128
What is the maximum number represents by 16 bit signed binary digits?
Plus or minus 65,535
A 1 or 0 in the binary number system is called?
A 0 or 1 in a binary number is called a bit. A binary number is made up of only ones and zeroes.
What is the largest positive and largest negative decimal number that can be expressed as an 8-bit 2's complement binary number?
6
WHICH number system is used by 32-bit number system?
BIT means binary digit. So it is binary.
What is the greatest output current value from an8-bit input DAC that has an output of 4.5mA when the input binary number is 101101010110?
Output is be maximum when input binary number is 111111111111 and that value comes around 6.35mv.
What is the binary number of 10?
The Binary for ten in 8-bit binary is: 00001010
Was binary stands for binary digits?
No, binary is a number system.A binary digit is called a bit.
What is one binary number called by itself?
=One Binary number by itself is called a Bit.=
A 1 or 0 in the binary number system is called a what?
Bit, short for Binary Digit.
How do you calculate 2s complement of any binary number?
To calculate the 2's complement of a binary number, first, invert all the bits (change 0s to 1s and 1s to 0s), which is known as finding the 1's complement. Then, add 1 to the least significant bit (LSB) of the inverted binary number. The result is the 2's complement, which represents the negative of the original binary number in signed binary representation.
