The driver can feed only the base-current sum that fits under its limit. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Four half-ampere bases stay below the limit

4 base inputs at 1/2 A each require 2 A from a 3 A driver, so the checked budget is pass.

412 A=2 A3 A4\cdot{1\over 2}\ \text{A}=2\ \text{A}\le3\ \text{A}
Fanout budget scanEach base-current row, the total, and the driver limit are checked.base 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Atotal 2 Alimit 3 Apass

Six half-ampere bases exactly use the limit

6 base inputs at 1/2 A each require 3 A from a 3 A driver, so the checked budget is pass.

612 A=3 A3 A6\cdot{1\over 2}\ \text{A}=3\ \text{A}\le3\ \text{A}
Fanout budget scanEach base-current row, the total, and the driver limit are checked.base 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Atotal 3 Alimit 3 Apass

Seven half-ampere bases exceed the driver

7 base inputs at 1/2 A each require 7/2 A from a 3 A driver, so the checked budget is fail.

712 A=72 A>3 A7\cdot{1\over 2}\ \text{A}={7\over 2}\ \text{A}>3\ \text{A}
Fanout budget scanEach base-current row, the total, and the driver limit are checked.base 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Abase 1/2 Atotal 7/2 Alimit 3 Afail