How does signed division handle negative values?

Division truncates toward zero. The remainder follows the dividend’s sign.

Binary and Hex Calculator with Bit Widths

Tool workspace

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Input

Integer or bit pattern. Spaces and underscores separate digits.

Operation

B or count

Shift and rotate counts use Input base. Negate ignores B.

Input base

Bit width

Interpretation

Ready for a result

Calculate fixed-width binary and hex arithmetic with exact 64-bit integers, two's complement results, carry, overflow, and bit diagrams.

Worked example result

Select Load example to use these values in the calculator.

A: 0x7F
Operation: add
Input base: auto
Bit width: 8
Interpretation: signed

Result

-128

Hexadecimal: 0x80
Binary: 1000 0000
Octal: 0o200
Signed decimal: -128
Unsigned decimal: 128

Flags

Flag	Value	Meaning for this operation
CF	0	Unsigned carry beyond the width.
OF	1	Signed overflow; bitwise operations clear overflow.
ZF	0	Result is zero.
SF	1	Highest result bit is 1.
PF	0	Low 8 bits contain an even number of ones.

Bits

	7	6	5	4	3	2	1	0
A	0	1	1	1	1	1	1	1
B	0	0	0	0	0	0	0	1
Result	1	0	0	0	0	0	0	0

Binary column working

Carry : 01111111
A     : 01111111
B     : 00000001
Result: 10000000
Each carry or borrow sits under its source bit.

127 + 1 does not fit in signed 8 bits, so the signed result wraps to -128.

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The calculator retains the selected width after each operation. Interpretation determines the signed or unsigned decimal reading.

The result includes base representations, bits, and operation flags. Addition and subtraction include column calculations.

Check carry and signed overflow in a computer science arithmetic exercise.

Inspect an 8-bit arithmetic result

Input: 0x7F

Settings: Operation: add; B: 0x01; Bit width: 8; Interpretation: signed

Result: -128

The pattern is 0x80. OF=1, CF=0, SF=1, ZF=0, and PF=0.

Choose bit width, operation, and signed interpretation

Enter A, choose Operation, and enter B or count when required.
Select Input base, Bit width, and Interpretation.
Select Calculate fixed-width result.

Only integer operands are supported.
The flags do not reproduce every processor rule.
Multiplication leaves ZF, SF, and PF unavailable.