(-128, 127) because (-1/2(2^n), 1/2(2^n)-1 )
range iS given by -{2^(k-1) - 1 } to +{2^(k-1)-1} So putting k=7 range i from -63 to +63
Assuming the popular 2's complement is used, the range is from -24 to +24 - 1.
Using 4 bits the signed range of numbers is -8 to 7. When working with signed numbers one bit is the sign bit, thus with 4 bits this leaves 3 bits for the value. With 3 bits there are 8 possible values, which when using 2s complement have ranges: for non-negative numbers these are 0 to 7; for negative numbers these are -1 to -8. Thus the range for signed 4 bit numbers is -8 to 7.
A signed 16 bit number can represent the decimal numbers -32768 to 32767.
Plus or minus 65,535
range iS given by -{2^(k-1) - 1 } to +{2^(k-1)-1} So putting k=7 range i from -63 to +63
Range of 8 bit signed number is -128 to 127 Reference: digital fundamentals by Floyd
A 5-bit binary counter, interpreted as an unsigned integer, has a range of 0 to 31. Interpreted as a two's complement signed integer, it has a range of -16 to +15.
With 8 wires, you can store numbers in binary format, where each wire represents a bit. An 8-bit binary number can represent values from 0 to 255 in decimal (2^8 - 1). This means you can store any integer within that range using the 8 wires. If signed integers are considered, the range would be from -128 to 127.
Assuming the popular 2's complement is used, the range is from -24 to +24 - 1.
Using 4 bits the signed range of numbers is -8 to 7. When working with signed numbers one bit is the sign bit, thus with 4 bits this leaves 3 bits for the value. With 3 bits there are 8 possible values, which when using 2s complement have ranges: for non-negative numbers these are 0 to 7; for negative numbers these are -1 to -8. Thus the range for signed 4 bit numbers is -8 to 7.
A signed 16 bit number can represent the decimal numbers -32768 to 32767.
A 32 binary number is a number stored by a computer in 32 bits. it can represent: 1) An unsigned number in the range 0 to 4,294,967,295 2) A signed number in the range -2,147,483,648 to 2,147,483,647 3) A single precision IEEE floating point number with 1 sign bit, 8 exponent bits and 23 mantissa bits give an accuracy of about 7.2 decimal digits and a range of ± 10^-38 to 10^38
+511
In an 8-bit binary system, the total range of decimal values that can be represented depends on whether the representation is signed or unsigned. For unsigned 8 bits, the range is from 0 to 255. For signed 8 bits, using two's complement, the range is from -128 to 127.
If a memory location is to contain a signed integer, then it will have a sign bit (zero means positive, one means negative). Also the negative numbers are represented by a complement (normally the two's complement). The article in the related link does a good explanation. What this means: for example, an 8 bit location could represent 256 possible numbers. In an unsigned situation, this would be 0 to 255. But in a signed situation, the range is -128 to +127.
Main Memory and Registers of just about every computer are based on 64-bit or 32-bit binary integers.