Two's Complement Number Wheel

Interactive visualization of signed binary integers arranged in a circle

+1
4-bit
Range: -8 to +7
Positive
Zero
Negative
Bit Width
Selected Number
Binary 0000
Decimal 0
Hex 0x0
Position 0 of 16
Animate Addition
Click a number, then animate
Key Concepts
+
Increment = Clockwise: Adding 1 always moves one position clockwise around the wheel.
!
Overflow: Adding 1 to the maximum positive (0111) wraps to the most negative (1000).
!
Underflow: Subtracting 1 from the most negative wraps to the maximum positive.
=
Adjacent Values: Neighboring positions always differ by exactly 1 in decimal value.