Three source-gap rows show the difference amplifier responding to separation between inputs. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A one-volt input gap becomes two output volts

Matched ratios make gain 2 on the source difference. Inputs 3 and 2 volts differ by 1 volt.

Vout=2(3 V2 V)=2 VV_{\text{out}}=2\cdot(3\ \text{V} - 2\ \text{V})=2\ \text{V}
One-volt difference rowThe diagram labels the two source inputs before subtraction.+-op amprails -12 V to 12 VVout 2 VV+ 2 VV- 2 VI+ 0 AI- 0 AV1 2 VV2 3 VRin 1 ohmRf 2 ohmtop 1 ohmbottom 2 ohmV+ = V-difference

A two-volt input gap becomes four output volts

The reference input remains 2 volts. Raising the other source to 4 volts makes output 4 volts.

Vout=2(4 V2 V)=4 VV_{\text{out}}=2\cdot(4\ \text{V} - 2\ \text{V})=4\ \text{V}
Two-volt difference rowOnly the input separation changed.+-op amprails -12 V to 12 VVout 4 VV+ 8/3 VV- 8/3 VI+ 0 AI- 0 AV1 2 VV2 4 VRin 1 ohmRf 2 ohmtop 1 ohmbottom 2 ohmV+ = V-difference

A three-volt input gap becomes six output volts

The third row uses source inputs 5 and 2 volts. The matched difference output is 6 volts.

Vout=2(5 V2 V)=6 VV_{\text{out}}=2\cdot(5\ \text{V} - 2\ \text{V})=6\ \text{V}
Three-volt difference rowThree rows show subtraction before gain.+-op amprails -12 V to 12 VVout 6 VV+ 10/3 VV- 10/3 VI+ 0 AI- 0 AV1 2 VV2 5 VRin 1 ohmRf 2 ohmtop 1 ohmbottom 2 ohmV+ = V-difference